Answer:
- 6(6 - 2x)²
Step-by-step explanation:
using the chain rule
[tex]\frac{dy}{dx}[/tex] = [tex]\frac{dy}{du}[/tex] × [tex]\frac{du}{dx}[/tex]
let y = (6 - 2x)³
let u = 6 - 2x , then y = u³
[tex]\frac{du}{dx}[/tex] = - 2 and [tex]\frac{dy}{du}[/tex] = 3u²
then
[tex]\frac{dy}{dx}[/tex] = 3u² × - 2 = - 6(6 - 2x)²
A=(-3,-2) B=x,3 C=(4,5) if AB = BC what is the value of X
Answer:
x=1
Step-by-step explanation:
[tex] \sqrt{( - 3 - x) ^{2} + {( - 2 - 3)}^{2} } = \\ \sqrt{ {(4 - x)}^{2} + {(5 - 3)}^{2} } \\ \\ 9 + 6x + {x}^{2} + 25 = \\ 16 - 8x + {x}^{2} + 4 = = = > \\ 34 + 6x = 20 - 8x = > \\ 14 = 14x = = = > x = 1[/tex]
Done
The value of x that makes up the coordinate of B is -1
How to find the value of xTo find the value of x, we need to determine the coordinates of point B.
Since A to (B) = B to (C), the distance from point A to point B is equal to the distance from point B to point C. The distance between two points in a coordinate plane can be calculated using the distance formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
Let's calculate the distances:
Distance A to (B):
x₁ = -3 (x-coordinate of point A)
y₁ = -2 (y-coordinate of point A)
x₂ = x (x-coordinate of point B)
y₂ = 3 (y-coordinate of point B)
Distance A to (B) = √((x - (-3))² + (3 - (-2))²)
Distance A to (B) =√((x + 3)² + 5²)
Distance A to (B) = √(x² + 6x + 9 + 25)
Distance A to (B) = √(x² + 6x + 34)
Distance B to (C):
x₁ = x (x-coordinate of point B)
y₁ = 3 (y-coordinate of point B)
x₂ = 4 (x-coordinate of point C)
y₂ = 5 (y-coordinate of point C)
Distance B to (C) = √((4 - x)² + (5 - 3)²)
Distance B to (C) = √((4 - x)² + 2²)
Distance B to (C) = √((4 - x)² + 4)
Distance B to (C) = √(x² - 8x + 20)
Since A to (B) = B to (C):
√(x² + 6x + 34) = √(x² - 8x + 20)
Now, we can square both sides to get rid of the square root:
x² + 6x + 34 = x² - 8x + 20
Next, move all the x terms to one side of the equation:
x² - x² + 6x + 8x = 20 - 34
Combine like terms:
14x = -14
Finally, solve for x:
x = -14 / 14
x = -1
So the value of x is -1. Point B is located at (-1, 3).
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The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)
From Pine Knob:
The distance are
a. 42.42
b. 15. 52
How to solve for the distance80 = 65 + <ABC
<ABC = 80 - 65
= 15
Through the use of sine rule we would have
By using sine rule,
Sine 15/a = sine 135/b =
sin 30/30.
Next we have to solve b by cross multiplying
b = (30× sin135) / sin 30
= 21.21/0.5
b = 42.42 km
Also, the value of a will be:
= (42.42 × sin 15) / sin 135
= 10.98/0.7071
= 15.52
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Enter the letter of the graphed
function.
-
-
a.y = (x + 2)(x − 1)(x − 3)
b.y = (x + 2)(x - 1)(x - 3)²
-
c. y = (x + 2)(x − 3)(x - 1)²
d.y= (x - 1)(x − 3)(x + 2)²
e.y = (x - 1)(x - 3)(x + 2)³
The graphed function is: y = (x + 2)(x − 1)(x − 3).
Option (a) is correct.
From the graph given in the question, it can be seen that the graph has 3 critical points, namely, x= -2, x = 1 and x = 3.
From all the five options given, the first option, that is, y = (x + 2)(x − 1)(x − 3), has the critical points x= -2, x = 1 and x = 3.
The critical points for a function are obtained by substituting the function to be equal to zero.
So, (x + 2)(x − 1)(x − 3) = 0
That is, x= -2, x = 1 and x = 3.
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You have a job earning $12.50 per hour, and you receive a raise so that you earn $13.25 per hour. What is the percent change in your salary?
Answer: 6 %
Step-by-step explanation: 6 % of 12.5 = 0.75. 12.5 plus 0.75 = 13.25
A yoga studio charges a $120 yearly fee for membership plus $16 for each class.
What is the average total cost per class if a studio member takes 100 classes per year?
Answer:
$17.2
Step-by-step explanation:
120 + 16*100 = 120 + 1600 = 1720
The member pays $1720 annually for 100 classes and membership fee combined.
1720/100 = 17.2
The student pays $17.2 per class on average.
The property tax on a house with an assessed value of $624,000 is $7280. Determine the property tax on a house with an assessed value of $762,000, assuming the same tax rate.
Using proportions, the property tax on a house with an assessed value of $762,000 is of $8,890.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The tax rate, as a proportion, is:
7280/624000 = 0.011667.
Hence, the property tax on a house with an assessed value of $762,000 is of:
0.011667 x 762,000 = $8,890.
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i need this solved asap please do so
The simplified expression for h(x) = f(x)/g(x) is [tex]h(x) = \frac{1}{3}\cdot \frac{x-4}{x-\frac{2}{3} }[/tex] and the domain of the function is all real numbers except x = 2/3.
How to determine the domain of a rational function
In this problem we have a rational function, the domain of rational functions is the set of all real numbers except the values such that the denominator becomes zero. First, we need to simplify the division of two rational functions:
[tex]h(x) = \frac{\frac{3\cdot x^{2} + 17\cdot x + 20}{3\cdot x^{2} + 10\cdot x - 8} }{\frac{3 \cdot x^{2} + 8\cdot x + 5}{x^{2}-3\cdot x - 4} }[/tex]
[tex]h(x) = \frac{(3\cdot x^{2}+17\cdot x + 20)\cdot (x^{2}-3\cdot x - 4)}{(3\cdot x^{2}+10\cdot x - 8)\cdot (3\cdot x^{2}+8\cdot x + 5)}[/tex]
[tex]h(x) = \frac{1}{3}\cdot \frac{\left(x^{2}+\frac{17}{3}\cdot x + \frac{20}{3} \right)\cdot (x^{2}-3\cdot x - 4)}{\left(x^{2}+\frac{10}{3}\cdot x -\frac{8}{3}\right)\cdot \left(x^{2}+\frac{8}{3}\cdot x +\frac{5}{3} \right)}[/tex]
[tex]h(x) = \frac{1}{3}\cdot \frac{\left(x + \frac{5}{3} \right)\cdot (x+4)\cdot (x - 4)\cdot (x+ 1)}{\left(x-\frac{2}{3} \right)\cdot (x + 4)\cdot (x + 1)\cdot \left(x + \frac{5}{3} \right)}[/tex]
[tex]h(x) = \frac{1}{3}\cdot \frac{x-4}{x-\frac{2}{3} }[/tex]
The simplified expression for h(x) = f(x)/g(x) is [tex]h(x) = \frac{1}{3}\cdot \frac{x-4}{x-\frac{2}{3} }[/tex] and the domain of the function is all real numbers except x = 2/3.
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5.5(x+6 1/2)-(x+9 1/3) - (19-x)
The simplest form of the expression given in the task content is; 5.5x +7.42.
What is the simplest form of the expression?The expression given in the task content is;
5.5(x+6 1/2)-(x+9 1/3) - (19-x)
Hence, the expression can be written in its simplest form as follows;
5.5x + 35.75 -x -9.33 -19 +x
= 5.5x +7.42.
Remarks: The complete task requires that the expression be written in its simplest form.
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In 2003, Dullinger et al. examined patterns of shrub invasion into high mountain grasslands of the Northern Calcareous (Limestone) Alps in Austria. Dullinger and his colleagues wished to determine whether Pinus mugo, a species of invasive conifer, showed a preference for invading some grassland habitats over others. The data provided give the number of Pinus mugo observed in each of six grassland types studied by the investigators. Assume that the area covered by each of the six habitats studied are approximately equal. What is the Pvalue?
based on the given area for the six habitats, Dullinger and his colleagues can find the p-value to be 0.0018.
how can the p-value be found?a chi-squared test is the best test for to find the p-value and when the data given is put through a chi-square model, the observed values are:
= 7, 9, 2, 11, 2, 0
the expected values should be:
= 1/6, 1/6, 1/6, 1/6, 1/6, 1/6
the p-value will be 0.001819
df = 5
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The following statements are all incorrect. Explain the statements and the errors fully using the probability rules discussed in topic two. 1.The number 7 is a lucky number so you are more likely to win raffles with ticket number 7 than with a different number. 2.I roll two dice and add the results. The probability of getting a total of 8 is 1/12 because there are 12 different possibilities and 8 is one of them. 3.Mr. Verde has to have a major operation. Ninety-three percent of the people who have this operation make a complete recovery. There is a 93% chance that Mr. Verde will make a complete recovery if he has this operation.4.The Ramblers play the Chargers. The Ramblers can win, loose, or draw, so the probability that they win is 1/3. 5.I have flipped an unbiased coin four times and got heads. It is more likely to get tails the next time I flip it.6.Thirty random college students are asked if they study during the week. Since 60% said yes, a statement can be made that 40% of students only study on the weekend.
The probability is illustrated below.
How to illustrate the probability?1) Raffles game is a gambling competition in which people get numbered tickets and each number has an equal chance of winning.
2) When two dice are rolled then there will be totally 36 outcomes. Of those the outcomes with sum 8 are (2,6),(3,5),(4,4),(5,3),(6,2).
These are 5 in number.
So,P( sum =8)= 5/36.
3)This is a true statement.
4) Here win, lose, or tie is just the outcomes where their probabilities are different from each other and those values depend upon different situations.
5) Tossing a coin is a random experiment which means that the result of the experiment (ie head or tail) cannot be predicted.
6) If 60% said yes to " study during the week" then 40% will say yes to "either won't study or study at weekend".
7) When two coins are tossed, the outcomes are as follows
H,H
H,T
T,H
T,T.
So, P( head, tail ) =2/4 =1/2
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The reasons for each incorrect statement are as follows;
The error in the statement is that, there might be other luckier numbers compared to number 7 and hence, the statement does not hold true for all numbers.The statement is incorrect because, there are 36 different possibilities and there are 5 possibilities of getting an 8.The statement is incorrect because, 93% does not necessarily represent a 93% chance of complete recovery as this is subject to other variables.The probability that they win is not 1/3 as it is subject to what the results have been over the years and not just the possible results.Since, the coin is unbiased, it follows that upon flipping the coin for the fifth time, it is not likely to have tails the next time it is flipped.The statement is incorrect because some students study during the week and weekends, hence, the conclusion is not correct.What is Probability?The term probability put simply is the ratio of the desired outcome to the possible outcomes. It therefore follows that probability as the name implies is used to predict the chance of an occurrence.
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Which choice is a term in this expression -3x - 7(x+4)
-3x is a term in the expression -3x - 7(x+4)
How to determine the term?The expression is given as:
-3x - 7(x+4)
Considering the following expression
Ax + B(x - b)
The terms in the expressions are Ax and B(x - b)
This means that -3x is a term in the expression -3x - 7(x+4)
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I forgot how to find the range of values of x and I will be very much appreciated if I could get a step by step clear solution to get the answers!
The quadratic equation has the following results: (p, q) = (8, 15), minimum point: (h, k) = (1, 4), range of values: - 4 < x < - 3
How to analyze quadratic equations
In this question we have a quadratic equation of the form y = x² + p · x + q , whose missing coefficients can be found by solving on the following system of linear equations:
- 5 · p + q = - 25
- 3 · p + q = - 9
(p, q) = (8, 15)
The vertex represents the minimum point, which is found by changing the form of the equation from standard form into vertex form:
y = x² + 8 · x + 15
y + 1 = x² + 8 · x + 16
y + 1 = (x + 4)²
(h, k) = (1, 4)
And lastly we must solve for x in the following inequality:
x² + 8 · x + 15 < x + 3
x² + 7 · x + 12 < 0
(x + 3) · (x + 4) < 0
- 4 < x < - 3
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Need help with defining this question.
Answer:
B.) 19
Step-by-step explanation:
According to F(5), the question wants you to plug x = 5 into the equation. Then, you need to simplify to find the output.
F(x) = x² - 2x + 4 <----- Original equation
F(5) = (5)² - 2(5) + 4 <----- Plug 5 into "x"
F(5) = 25 - 10 + 4 <----- Solve 5² and -2 x 5
F(5) = 19 <----- Combine like terms
Josh had to make 2,000 cookies for his bakery. 2 pieces of wheat make 8 cookies. How much wheat does he need?
Find the area of the trapezoid. 15ft 10ft 20ft
Answer: 175 ft squared
Step-by-step explanation: A= a + b / 2h= 20 + 152 · 10 = 175
An administer of a college believes that 40% students of the college work in part time. He
randomly surveyed of 2,512 students and finds that 1,298 of them work in part time, that is, about 51.7% of
the student being surveyed work in part time.
1.
Is the study observational or experimental?
2.
What is the population of interest?
3.
What is the parameter of interest?
4.
What is the sample in the study?
5.
What is the statistic involved?
See below for the response to each question
Is the study observational or experimental?The study is experimental.
This is so because, the administer surveyed random college students
The population of interestThis is the total number of students in the college
Hence, the population of interest is the students in the college
The parameter of interestThis is the value that gives the required information.
Hence, the parameter of interest is the proportion of college students that work part-time
The sample in the studyThis is the students that were randomly surveyed
Hence, the sample in the study is the 2,512 students that were randomly surveyed
What is the statistic involvedThe statistic is the sample mean
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HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls <3
Answer:
[tex]y=\frac{2}{3}x+\frac{4}{3}[/tex]
Step-by-step explanation:
Let's write the equation of the line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.
Identify 2 coordinates on the line to calculate the slope.
The 2 points are (1, 2) and (4, 4).
Slope
[tex]=\frac{y_1-y_2}{x_1-x_2}[/tex]
= [tex]\frac{4-2}{4-1}[/tex]
= [tex]\frac{2}{3}[/tex]
Substitute the value of the slope into m:
[tex]y=\frac{2}{3}x+c[/tex]
Substitute any point into the equation to find c:
When x= 1, y= 2,
[tex]2= \frac{2}{3}(1)+c[/tex]
Solve for c:
[tex]c= 2-\frac{2}{3}[/tex]
c= [tex]\frac{4}{3}[/tex]
Thus, the equation that represents the line is [tex]y=\frac{2}{3}x+\frac{4}{3}[/tex].
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https://brainly.com/question/26351470There are 81 athletes who joined a parade. Four-ninths of them are basketball players. How many basketball players joined the parade?
Answer:
36
Step-by-step explanation:
81 x (4/9) =
36
Find the remainder when f(x) = 8x^3+4x^2-13x+3 is divided by 2x+5
Answer:
-129
Step-by-step explanation:
good luck
what is the volume of the following rectangular prism
Answer:
[tex] \large{ \boxed{ \tt{336 \: units ^{3} }}}[/tex]- Please see the attached picture for full solution!:)
------------ HappY LearninG <3 ----------
Name the figure below in two different ways!
Need help fast!
Answer:
IM and YM
Step-by-step explanation:
not sure about the symbol part, but it's a ray !!
Answer: IM and YM
Step-by-step explanation:
It can be broken down into to different rays
An object moves in simple harmonic motion with period 6 seconds and amplitude 7cm. At time t=0 seconds, its displacement d from rest is -7cm, and initially it moves in a positive direction.
Give the equation modeling the displacement d as a function of time t.
The equation modeling the displacement 'd' as a function of time is d (t) = 7 sin ( 3π t)
What is simple harmonic motion?
Simple harmonic motion can be defined as a periodic motion of a point in a straight line, such that its acceleration is towards a fixed point and is proportional to its distance from that point to the line.
It is derived from the projection to the axis of a circle of a point in constant speed on the circumference
Displacement is represented thus;
d ( t ) = A sin ( 2 π f t )
T = 1/f
Where,
d is the displacement A is the amplitude = 7cmT is the period = 6 secondsNote that there is no phase shift
d (t) = 7 sin ( 2π × 1/ 6 t)
d (t) = 7 sin ( 2π/6 t)
d (t) = 7 sin ( 3π t)
Thus, the equation modeling the displacement 'd' as a function of time is d (t) = 7 sin ( 3π t)
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Identify a horizontal or vertical stretch or compression of the function f(x) = x
by observing the equation of the function g(x) = 6x.
The base graph vertically stretched by a factor of 6.
The base graph horizontally stretched by a factor of 6.
The base graph vertically compressed by a factor of 6.
The base graph horizontally compressed by a factor of 6.
Answer: The base graph vertically stretched by a factor of 6.
Step-by-step explanation:
See attached image.
What is the value of p
Answer:
2
Step-by-step explanation:
You have the correct answer selected: 2.
The reason for this is that when there are exponents inside and outside of the parenthesis like this, they are multiplied.
2 times 2 is 4. That's why (8^2)^2 = 8^4
Answer:
p = 2
Step-by-step explanation:
[tex](8^{2}) ^{p}[/tex] = [tex]8^{4}[/tex]
[tex]8^{2p}[/tex] = [tex]8^{4}[/tex]
[tex]8^{p}[/tex] = [tex]8^{\frac{4}{2}[/tex]
p = 2
Need help with this question
The domain f the function is (-∞, 1/3) U (1/3, ∞)
Composite functionsThe composite functions are also known as function of a function
Given the following functions
f(x) = √2-6x
g(x) = -1/x
In order to determine the composite function g(f(x))
g(f(x)) = g(√2-6x)
Replace x with √2-6x in g(x)
g(f(x)) = -1/√2-6x
The expression does not exist when √2-6x = 0
2-6x = 0
x = 1/3
The values shows that the domain of the function exists on all real numbers except 1/3.
Hence the domain f the function is (-∞, 1/3) U (1/3, ∞)
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The height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t^2 + 88t where "t" is the time it is in the air. For how many seconds the ball is in the air before it hits the ground?
By definition of the zeros of ta quadratic function, for 5.5 seconds the ball is in the air before it hits the ground.
Zeros of a functionThe points where a polynomial function crosses the axis of the independent term (x) represent the so-called zeros of the function.
That is, the zeros represent the roots of the polynomial equation that is obtained by making f(x)=0.
In summary, the roots or zeros of the quadratic function are those values of x for which the expression is equal to 0. Graphically, the roots correspond to the abscissa of the points where the parabola intersects the x-axis.
Time the ball is in the air before it hits the groundIn this case, the height "h" of a ball thrown straight up with a velocity of 88 ft/s is given by h = -16t² + 88t, where "t" is the time it is in the air.
When the ball hits he ground, he height h has a value of zero. This is h=0. Replacing in the previous expression for the height you get:
0= -16t² + 88t
It can be solved by extracting the term "t" as a common factor:
0= t×(-16t + 88)
The Zero Product Principle says that if the product of two numbers is 0, then at least one of the factors is 0. Then:
t= 0
or
0= -16t + 88
Solving: -88= -16t
(-88)÷ (-16)=t
5.5= t
Finally, this means that for 5.5 seconds the ball is in the air before it hits the ground.
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Physics shows that when an object is thrown upward with an initial velocity of v then its approximate height v_o is given by this quadratic function.
s = − 4.9t^2 + v_ot + h
A ball is thrown upward from the top of a building 15 meters high, at a velocity of 2.8m/sec. Answer the following questions. Be sure to show and explain all work.
a) Find the maximum height and the time in which it was attained (round to 3 decimal places)
b) When does it reach the ground? (round to 3 decimal places)
c) Sketch a graph to illustrate your answers.
The maximum height of the object is 15.4 m and occurs at 0.295 sec. The object touches ground at 2.06 seconds
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
A ball is thrown upward from the top of a building 15 meters high, at a velocity of 2.8m/sec. Hence:
s = -4.9t² + 2.8t + 15
The maximum height is at s'(t) = 0, hence:
-9.8t + 2.8 = 0
t = 0.295 s
s = -4.9(0.295)² + 2.8(0.295) + 15 = 15.4 m
The object reaches ground when s = 0, hence:
0 = -4.9t² + 2.8t + 15
t = 2.06 seconds
The maximum height of the object is 15.4 m and occurs at 0.295 sec. The object touches ground at 2.06 seconds
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in how many ways can the letters in the word payment be arranged if the letters are taken 6 at a time
Considering the definition of permutation, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.
What is PermutationPermutation is placing elements in different positions. So, permutations of m elements in n positions are called the different ways in which the m elements can be arranged occupying only the n positions.
That is, permutations refer to the action of arranging all the members of a set in some sort of order or sequence.
In other words, permutations (or Permutations without repetition) are ways of grouping elements of a set in which:
take all the elements of a set.the elements of the set are not repeated.order matters.To obtain the total of ways in which m elements can be placed in n positions, the following expression is used:
[tex]mPn=\frac{m!}{(m-n)!}[/tex]
where "!" indicates the factorial of a positive integer, which is defined as the product of all natural numbers before or equal to it.
This caseIn this case, you have:
the letter word "PAYMENT", where the number of letters is 7.the letters are taken 6 at a time.Then, you know that:
m= 7n=6Replacing in the definition of permutation:
[tex]7P6=\frac{7!}{(7-6)!}[/tex]
Solving:
[tex]7P6=\frac{7!}{1!}[/tex]
7P6= 5040
Finally, in 5040 ways can the letters in the word ''PAYMENT'' be arranged if the letters are taken 6 at a time.
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ped
Complete question :
Juan is rewriting the expression 12 d minus 26 c as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Select two options. The GCF of the numbers in each term in the expression is 2. The GCF of the numbers in each term in th
So the correct statement is:
" The GCF of the numbers in each term in the expression is 2"
How to rewrite the expression as a product?Here we have the expression:
12d - 26c
To rewrite ti as a product, we need to find the greatest common factor between 12 and 26.
The decomposition of these two numbers is:
12 = 2*2*3
26 = 2*13
The greatest common factor between the two numbers is 2, then we can rewrite:
12d - 26c = 2*(6d - 13c)
So the correct statement is:
" The GCF of the numbers in each term in the expression is 2"
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Example 2.11: Solve the following
a) 4x² +10x = 6
Answer:
[tex]\huge\boxed{\sf \{-3, 1/2\}}[/tex]
Step-by-step explanation:
Given equation:4x² + 10x = 6
Take 2 common
2(2x² + 5x) = 6
Divide 2 to both sides
2x² + 5x = 3
Subtract 3 to both sides
2x² + 5x - 3 = 0
Using mid-term break
2x² + 6x - x - 3 = 0
Take common
2x(x + 3) - 1(x + 3) = 0
Take (x + 3) common
(x + 3)(2x - 1) = 0
Either,
x + 3 = 0 OR 2x - 1 = 0
x = -3 OR 2x = 1
x = -3 OR x = 1/2
Solution Set = {-3, 1/2}[tex]\rule[225]{225}{2}[/tex]
Answer: x = 3 or (-1/2)
Step-by-step explanation:
Given equation
4x² + 10x = 6
Subtract 6 on both sides
4x² + 10x - 6 = 6 - 6
4x² + 10x - 6 = 0
Use cross-multiplication to factorize the quadratic
Starting with:
2x -6
2x 1
This gives us:
(2x - 6) (2x + 1) = 0
Assume each value in the parenthesis to be 0
PART I:
2x - 6 = 0 ⇒ Given equation
2x - 6 + 6 = 0 + 6 ⇒ Add 6 on both sides
2x / 2 = 6 / 2 ⇒ Divide 2 on both sides
[tex]\boxed{x=3}[/tex]
PART II:
2x + 1 = 0 ⇒ Given equation
2x + 1 - 1 = 0 - 1 ⇒ Subtract 1 on both sides
2x / 2 = -1 / 2 ⇒ Divide 2 on both sides
[tex]\boxed{x=-\frac{1}{2} }[/tex]
Hope this helps!! :)
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