Somebody Please solve this question without using L Hospital rule.

Evaluate if:​

Somebody Please Solve This Question Without Using L Hospital Rule.Evaluate If:

Answers

Answer 1

Answer:

1/2

Step-by-step explanation:

Given that,

[tex]\lim_{n \to 1} (\dfrac{1+\cos\pi x}{\tan^2\pi x})[/tex]

Using L Hospital's rule to find it :

[tex]\lim_{n \to a} \dfrac{f(x)}{g(x)}= \lim_{n \to a} \dfrac{f'(x)}{g'(x)}[/tex]

We have,

a = 1, [tex]f(x)=1+\cos\pi x, \ \ g(x)=\tan^2\pi x[/tex]

[tex]f'(x)=\dfrac{d}{dx}(1+\cos\pi x)\\\\=-\pi \sin \pi x\ .....(1)[/tex]

[tex]g'(x)=\dfrac{d}{dx}(\tan^2\pi x)\\\\=2\tan\pi x\times \sec^2\pi x\times \pi\ .....(2)[/tex]

From equation (1) and (2) :

[tex]\lim_{n \to 1} \dfrac{f(x)}{g(x)}= \lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\\lim_{n \to 1} \dfrac{-\pi \sin\pi x}{2\tan \pi x\times \sec^2\pi x \times \pi}\\\\=\lim_{n \to 1} \dfrac{-1}{2}\times\cos^3\pi x\\\\=\dfrac{-1}{2}\times \cos^3\pi \\\\=\dfrac{1}{2}[/tex]

So, the value of the given function is 1/2.


Related Questions

Hello! Can someone please help me with these 2 questions! thank you so much! (i’ll give brainlist)

Answers

Answer:

1) 4    2)1/5   X=10

Step-by-step explanation:

Small to large is a fraction

Large to small is a whole number

There are 30 students in the class and 270 apples. if the apples are divided equally among the students, how many does each student get?

Answers

Answer:

9

Step-by-step explanation:

270/30=9

I was wondering if anyone had the answer key to the Gina Wilson, Unit 7: Polygon and Quadrilaterals Unit Test, it is one of our assignments instead of some big final.

Answers

Answer:

um sorry i wish i could help but mabye post a specfic

question Step-by-step explanation:

The product of 15 and a number x is −75.

Answers

Answer:

the solution is in the figure

the number is -5

Find the base angles of the figure below.

A.) 72°
B.) 108°
C.) 36°
D.) 54°

Answers

Answer:

36

Step-by-step explanation:

The angles of a triangle have a sum of 180 degrees. This is an isosceles triangle indicated by the red markers on sides ED and EF. This means that the sides and angles are congruent.

Subtract 108 from 180 and divide that by 2.

180-108 = 72

72/2 = 36

36 is the answer to your problem

NOW! Which division problem does the diagram below best illustrate?
0000
OC
30-5-6
35-7-5
021-7-3
40-5-8

Answers

Possibly 35 divided by 7=5

If x and (x+50°) are complementary angles. find the angles​

Answers

Step-by-step explanation:

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

So

x + x + 50° = 90°

2x = 90° - 50°

2x = 40°

x = 40°/2

x = 20°

x + 50 = 20 + 50 = 70°

Hope it helps :)

Answer:

let 1st angle be x

and another angle be x+50°

two angles are said to be complementary,if the some of their measures is 90°

so,

x+x+50=90

2x+50 =90

2x=90-50

x=40/2

:-x= 20 ....... 1st angle

another angle (x+50)=20+50=70°

In a class of 29 students, 20 play an instrument and 18 play a sport.
There are 11 students who play an instrument and also play a sport.
What is the probability that a student chosen randomly from the class
plays a sport and an instrument?
Can someone please help me

Answers

Answer:11/29

Step-by-step explanation:

The numerator is alredy given as 11 students play both an instrument and a sport. Denominator is how many students in the class which is 29.

ASAP!!! Will give brainliest!!! Solve for X

Answers

Answer:

h=√p^2+b^2

13 = √x^2+(x+7)^2 now you can solve

Answer:

x = 5

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + (x + 7)² = 13² ← expand and simplify left side

x² + x² + 14x + 49 = 169 ( subtract 169 from both sides )

2x² + 14x - 120 = 0 ( divide through by 2 )

x² + 7x - 60 = 0 ← in standard form

(x + 12)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 12 = 0 ⇒ x = - 12

x - 5 = 0 ⇒ x = 5

But x > 0 , thus x = 5

Write the equation of the line that connects the set of data points!helppp

Answers

Given:

The set of data points on the graph.

To find:

The equation of line that connects the set of data points.

Solution:

From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let as consider the line passes through (20,40) and (50,60), then the equation of line is

[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]

[tex]y-40=\dfrac{20}{30}(x-20)[/tex]

[tex]y-40=\dfrac{2}{3}(x-20)[/tex]

Multiply both sides by 3.

[tex]3(y-40)=2(x-20)[/tex]

[tex]3y-120=2x-40[/tex]

Isolate variable terms.

[tex]-2x+3y=120-40[/tex]

[tex]-2x+3y=80[/tex]

Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].

A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$

Answers

Answer:

x = 15 ounces

Step-by-step explanation:

A mixture is made with two types of solutions.

Solution A - 45 ounces of 10% saline solution

Solution B - x ounces of 70% saline solution

Resulting mixture - (x + 45) ounces of 25% saline solution

To get the value of x, equation will be,

(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25

4.5 + 0.70x = 0.25x + 11.25

0.25x - 0.70x  = 4.5 - 11.25

-0.45x = -6.75

x = [tex]\frac{6.75}{0.45}[/tex]

x = 15 ounces    

$50.25 with buy one get one 50% off (SHOW WORK)

Answers

Answer:

i dont know if this is to answer buying 2

$75.74 for 2

Step-by-step explanation:

50.25*1.5=75.735

Answer:

25%

Step-by-step explanation:

because whats 50%-50%=0% so there's 25% left.

Which of the following are the coordinates of a rectangle with a length of 4 units and a width of 3 units in the coordinate plane?

A- (−2, 1), (−2, −2), (2, 1), (2, −2)
B- (4, 3), (0, 3), (4, 7), (0, 7)
C- (1, −4), (−1, −4), (1, 0), (−1, 0)
D- (5, 6), (−3, 6), (5, 1), (−3, 1)

Answers

A!!
-2 and 2 are the x values of the coordinates which are 4 units apart, being 4 units in LENGTH
1 and -2 are 3 units apart and them being in the y part of the coordinate it’s 3 units wide

11. In the diagrams below the rows of green tiles are surrounded by white tiles
Find a formula for the number of white tiles which would be needed to
surround a row of n green tiles.
Hii please help!!! Show work ​

Answers

Step-by-step explanation:

There are 12 white tiles surrounding 3 green tiles, and 16 white tiles surrounding 5 green tiles.

Common difference = (16-12)/(5-3) = 2.

Hence number of white tiles = 2n + 6.

Asia can rake her yard's leaves in 2 hours. It takes Isaac 6 hours to rake the yard's
leaves by himself. How long would it take if Asia and isoac work together?
Is will be 1 hour and 30 minutes

Answers

Answer:

I think i would be 2hours and 30 mins. Srry if it's wrong

Step-by-step explanation:

Sam typed 420 words in 10 minutes. If he continues to type at this rate, how many words will he have typed in 3 hours? Group of answer choices

Answers

Answer:

7,560 words were typed in 3 hours.

4x+4y=4
3x+4y=10
Solve for elimination

Answers

Answer:

The solution is x=-6 and y=7

Step-by-step explanation:

Given equations are:

[tex]4x+4y =4\\3x+4y = 10[/tex]

In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations

In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations

Subtracting equation 2 from equation 1

[tex]4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6[/tex]

Putting x = -6 in equation 1

[tex]4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7[/tex]

Hence

The solution is x=-6 and y=7

Katelyn ate ⅓ of an apple pie, and Chad ate ⅜ of the same pie. What fraction of the pie was eaten?

Answers

Answer:

17/24

Step-by-step explanation:

1. This is an addition problem. Remember, when adding fractions, you first need to find a common denominator.

What is a number that both 3 and 8 go into? (If you don't know, then you can just multiply the numbers and use that as the denominator)3 x 8 = 24The new denominator is 24.

2. To find the numerator, multiply the current numerators by the number of times the original denominators divide into 24.

For example, 3 divides into 24 a total of 8 times. So, multiply 1 by 8 to turn 1/3 into 8/24.Do the same for 3/8, except multiply it by 3 because 8 goes into 24 three times. This makes the fraction equal 9/24.

3. Now that the denominators are the same, add the numerators and keep the denominator for now.

8/24 + 9/24 = 17/24

4. Usually, you would have to reduce the fraction, but since 17/24 is already reduced to its simplest form, 17/24 is your answer.

Solve. Show your work in the sketchpad. Don't forget your dollar sign and to round to the nearest hundredth. You have to do this, it's money. For every hour that John works he earns $8.55. If John works 13.5 hours, how much money did he make?

Answers

Answer:

$115.43

Step-by-step explanation:

From the above question:

1 hour of work = $8.55

13.5 hours of work = x

Cross Multiply

x = 13.5 × $8.55

x = $115.425

Approximately to the nearest hundredth = $115.43

If John works 13.5 hours, the amount of money he makes = $115.43

An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?

Answers

Answer:

41.3° and 48.7°

Step-by-step explanation:

Complementary angles are angles with the sum of 90°

if one of the angle is 7.4° less than other

(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and

41.3 + 7.4 = 48.7° is the measure of bigger angle

the exchange rate in london is £1 = 1.14 euros
the exchange rate in paris is 1 euro = £0.86
haley wants to change some pounds into euros
in which of those cities would haley get the most euros?

thanks for your time, it is much appreciated <33

Answers

Answer:

London

Step-by-step explanation:

Euro= 1.14 x 5

5.70

y=6x+1
y=1/6x+1
y=1/6x-5
y=6x-5
which one

Answers

Answer:

y=6x+1

Step-by-step explanation:

count from your first point (0,-5) then count up to positive 1 on the y-axis, then go over 1 and you are at your other point. when you count up that is your slope. when you count over that is your b

1 pts
Identify the ordered pair (point) and the slope for the point-slope form Y-3 = 7(2 – 4).
[Type in integers only.]
Point:(
I
Slope:
« Previous
Next >

Answers

Slope: 7
Point: (4,3)

What is the area of this ILL GIVE BRAINLIEST!!!!!!!

Answers

Answer:

Area = 56mm²

Step-by-step explanation:

Area of a trapezium/trapezoid

[tex] = \frac{1}{2} \times h \times (a + b)[/tex]

[tex] = \frac{1}{ 2} \times 7 \times (4 + 12)[/tex]

[tex] = \frac{7}{2} \times16[/tex]

[tex] = 7 \times 8[/tex]

[tex] = 56[/tex]

Which of the following is a perfect square ?

A. - 4
B. 1 over 4 over 19 (1/4/19)
C. 0.9
D. 100

Answers

D is a perfect square

Pls help me ill give brainliest.

Pls do all 3 to get brainliest

Answers

Answer:

5. 8(a-5)= -40

8a-40= -40

8a= -40+40

8a=0

a=0/8

a=0

option c is correct.

6. for d,

-1<d<1

I think the answer is option d , which is missing in the attachment.

the 4 question is missing.

so I am not able to answer that

Mark has 380 coins Casey has 2x more than Albert Lilly has 5 coins more than Casey Logan has 3x more than Casey and Albert How many coins does Logan have

Answers

Answer:

141 coins

Step-by-step explanation:

Given that Mark has a total of 380 coins(assumed to be shared amongst Albert,Casey, Lily and Logan)

Albert= x

Casey= 2x

Lily= 2x+5

Logan=3x

There's a total of 380 coins

x+2x+2x+5+3x= 380

8x+5=380

8x=380-5

x=375/8

x= 46.9

Therefore Logan's coins = 3x= 3×46.9= 140.61 coins

Approximately Logan's coins =141 coins

Write the expression as a single multiplication sentence without
parentheses.

11 × (15 + 5)

Answers

Answer:

11x20

Step-by-step explanation:

15=5 equals 20 so 11x20 is 220

add 15 and 5 to get 20, your answer is 11x20!

sorry for asking all these questions, this is just really confusing

Answers

Answer:

-31

Step-by-step explanation:

hope this helped! <3

please help me with this​

Answers

Answer:

The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).

Step-by-step explanation:

Given that:

Line passes through the point = (-1, -4)

Slope of the line = -3

Point slope form of a line is given by;

[tex]y-y_1=m(x-x_1)[/tex]

Here,

x1 = -1 , y1 = -4 and m = -3

Putting the values in the point-slope form of the equation,

y-(-4) = -3(x-(-1))

y+4= -3(x+1)

Hence,

The equation in the point-slope form for the line that passes through point (-1, -4) and has a slope of -3 is y+4=-3(x+1).

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please help ill do anything and give the brain thing :(( I'm reading an interesting novel right now. A husband is looking for his wife who has gone missing. He is a suspect in her disappearance, but he doesn't seem to realize that he is. At the same time, his business is going under and he is meeting with some rather shady characters to try to salvage it. As if that isn't enough, the husband's father has dementia and constantly escapes from the facility he lives in. Identify which narrative technique the author of the novel is using to tell the story. I needdd helppp plsss hurryyy If VY = 27, VZ = 18, and VW=8, find WX.XwZ Y Can we use a hydrometer tomeasure the density of milk? IV) allVID) Anyc)To get a driving license you to be eighteen.1)CanIII) HaveIt is damagerous to go into deep water if youII) mayIV) mustswim. 54.6g of sugar is needed to make 7 cakes. How much sugar is needed for 12 cakes?| Mr.Johnson leaves on a trip planning to travel 24 mph PLSSSSS HELP WILL MAKE BRAINLEST how could the Rocky Mountains have transformed into the Great Plains? Identify one cause of the historical development depicted in the map. What was the baby boom? A time when families began to have babies after a long dip in babies B. a time when babies became loud C time when women having babies dipped d. a time when women were having babies alone A ball is thrown vertically upward with a speed v. An identical second ball is thrown upward with a speed of 1/2 v (half as fast). What is the ratio of the maximum height of the second ball to that of the first ball Mindy's dog, Rex, weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight? A. 13% B. 12% C. 15% D. 16% Consider the solution to the linear equation.5 (x + 6) = 50. 5 x + 30 = 50. 5 x = 20. x = 4.Which describes the inverse operations used after the distributive property?addition then divisionsubtraction then divisionmultiplication then subtractiondivision then additionthe answer is b Proportions! Please help quick! The area of a rectangular garden is 6862 m.If the width of the garden is 73 m, what is its length? Which Supreme Court decision was rendered invalid by the landmark civil rights case Brown v. Board of Education?A. Board of Regents of California v. BakkeB. Plessy v. FergusonC. Roe v. WadeD. Gibbons v. OgdenE. Dred Scott v. Sandford PLZZ ANSWER THE QUESTION What would happen on a hot day if your brain did not receive input that your body was starting to heat up