Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter your answer using interval notation. Round your answer to four decimal places.)
Answer:
The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0
The explanation of the answer is now provided as follows:
Given:
f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)
[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4
Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:
(e^z /4!)x^4 < 0.0001 ………………………………….. (2)
Multiply both sided of equation (2) by (1), we have:
e^4x^4 < 0.024 ……………………….......……………. (4)
Taking 4th root of both sided of equation (4), we have:
|xe^(z/4) < 0.3936 ……………………..........…………(5)
Dividing both sides of equation (5) by e^(z/4) gives us:
|x| < 0.3936 / e^(z/4) ……………….................…… (6)
In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:
|x| < 0.3936 -----> 0 < x < 0.3936
Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.
Guys I need help!!!
Is (1, 4) a solution to the equation y = 8x − 4?
Answer:
Yes
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)FunctionsStep-by-step explanation:
Step 1: Define
Identify
Point (1, 4)
y = 8x - 4
Step 2: Find
Substitute in point [Equation]: 4 = 8(1) - 4Multiply: 4 = 8 - 4Subtract: 4 = 4yes.
you just have to check like this: 1 is x and 4 is y.
4 = 8(1) - 4
4 = 8 - 4
4 = 4
hope it helps.
Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.
Al sumar y/o restar números decimales, siempre se debe aplicar la norma de los signos. * 1 punto FALSO VERDADERO
Answer:
La norma de los signos es para el producto de números reales, y la norma es la siguiente.
(+)*(+) = (+)
(+)*(-) = (-)
(-)*(+) = (-)
(-)*(-) = (+)
Es decir, el producto de dos números de mismo signo es siempre positivo
El producto de dos números de distinto signo es siempre negativo.
Particularmente, para la suma esta norma no funciona (pues no está definida para la suma)
Pero en casos como:
5 - (-4)
(esto sería: "la diferencia entre cinco y menos cuatro")
notar que podemos reescribir esto como:
5 + (-1)*(-4)
Ahora podemos aplicar la norma de los signos:
5 + 4 = 9
Donde aplicamos la norma de los signos,
Podemos concluir que, si bien es una regla que aplica al producto, siempre la tenemos que tener en cuenta en cualquier operación que hagamos.
Por lo podemos concluir que la respuesta correcta es verdadero.
What set of transformations are applied to parallelogram ABCD to create A'B'C'D'?
Parallelogram formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at negative 2, 1. Second parallelogram transformed formed by ordered pairs A prime at negative 4, negative 1, B prime at negative 3, negative 2, C prime at negative 1, negative 2, D prime at negative 2, negative 1.
Reflected over the x-axis and rotated 180°
Reflected over the y-axis and rotated 180°
Reflected over the x-axis and rotated 90° counterclockwise
Reflected over the y-axis and rotated 9
Answer:
Reflected over the x-axis and rotated 90° counterclockwise
Step-by-step explanation:
Answer:
Reflected over the x‒axis and reflected over the y-axis
Step-by-step explanation: pls mark me as brainly
A field is 360 feet long and 160 feet wide. Sod can be purchased in squares in increments from 1 foot wide up to 7 feet wide. What is the largest size squares Steve can purchase with which he can cover the field completely without any gaps or overhangs?
Answer:
We need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.
Step-by-step explanation:
The number of squares required to cover the field is equal to the area of the field divided by the area of a square:
[tex]n = \frac{A}{l^{2}}[/tex] (1)
Where:
[tex]n[/tex] - Quantity of squares, in feet.
[tex]A[/tex] - Area of the field, in square feet.
[tex]l[/tex] - Length of each square, in feet.
If we know that [tex]A = 57600\,ft^{2}[/tex], then we have the following hyperbolic function:
[tex]n = \frac{57600}{l^{2}}[/tex]
Now we plot the function with the help of graphing tools, whose result is presented below. Please notice that quantity of squares must be an integer and we need 1600 squares with a width of 6 feet to cover the entire field without any gaps nor overhangs.
Find the TWO integers whos product is -12 and whose sum is 1
Answer:
[tex] \rm Numbers = 4 \ and \ -3.[/tex]
Step-by-step explanation:
Given :-
The sum of two numbers is 1 .
The product of the nos . is 12 .
And we need to find out the numbers. So let us take ,
First number be x
Second number be 1-x .
According to first condition :-
[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]
Hence the numbers are 4 and -3
Let integers be x and x-1
ATQ
x+x-1=1[tex]\\ \sf\longmapsto 2x-1=1[/tex]
[tex]\\ \sf\longmapsto 2x=1+1[/tex]
[tex]\\ \sf\longmapsto 2x+2[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]
[tex]\\ \sf\longmapsto x=1[/tex]
Now
[tex]\\ \sf\longmapsto x-1=1-1=0[/tex]
The integers are 1 and 0But
Integers can be x and 1-x as their sum is 1
[tex]\\ \sf\longmapsto x(1-x)=-12[/tex]
[tex]\\ \sf\longmapsto x- x^2=-12[/tex]
[tex]\\ \sf\longmapsto x^2-x-12=0[/tex]
[tex]\\ \sf\longmapsto x^2-4x+3x-12=0[/tex]
[tex]\\ \sf\longmapsto x(x-4)+3(x-4)=0[/tex]
[tex]\\ \sf\longmapsto (x-4)(x+3)=0[/tex]
[tex]\\ \sf\longmapsto x=4,-3[/tex]
What are the coordinates of the terminal point for 0 = 4pi/3
Answer:
I hope this helps. There is a link
b
So what is that distance well we know that to get to negative 4 pi over 3 we took negative pi and travelled pi over 3.. So this is just pi over 3.. So our reference angle would be pi over 3.
Step-by-step explanation:
Fifty seven thousand nine hundred and eight
Answer:
Fifty seven thousand nine hundred and eight
57908
PLS HELP i just need the answer :,(((((
what is the equation of the quadratic graph with a focus of (5, −1) and a directrix of y = 1?
Answer:
check the picture below.
so the focus point is at 5, -1 and the directrix is above it, meaning is a vertical parabola, and is opening downwards, like in the picture.
keep in mind that the vertex is half-way between those two fellows, at a "p" distance from either, in this case 1 unit, since the parabola is opening downwards, "p" is negative then, or -1, and the vertex will be from 5, -1 up one unit, so 5,0.
Quais são os zeros(ou raízes) da função quadrática f(x) = x² + 3x - 4? Assinale a alternativa correta. *
a) 2 e 3
b) 1 e - 4
c) 3 e 4
d) 4 e -1
Given:
The quadratic function is:
[tex]f(x)=x^2+3x-4[/tex]
To find:
The zeros of the given quadratic function.
Solution:
We have,
[tex]f(x)=x^2+3x-4[/tex]
Splitting the middle term, we get
[tex]f(x)=x^2+4x-x-4[/tex]
[tex]f(x)=x(x+4)-1(x+4)[/tex]
[tex]f(x)=(x+4)(x-1)[/tex]
For zeros, [tex]f(x)=0[/tex].
[tex](x+4)(x-1)=0[/tex]
[tex]x=-4,1[/tex]
Therefore, the correct option is (b).
Which statement is an example of the symmetric property of congruence
9514 1404 393
Answer:
B.
Step-by-step explanation:
The symmetric properties of equality and congruence let you swap sides of the equality/congruence symbol without changing the truth of the statement:
A ≅ B ⇔ B ≅ A
A rectangle has a perimeter of 80 cm and its length is 1 cm more than twice its width. Find the dimensions of a rectangle given that its perimeter is 80 cm and its length is 1 cm more than twice its width. Set up your solution using the variables L for the length, W for the width, and P for the perimeter. Part a: Using the definition of the perimeter, write an equation for P in terms of L and W. Part b: Using the relationship given in the problem statement, write an equation for L in terms of W. Solve the equations from parts a and b. Part c: The length is ? Cm. Part d: The width is? Cm.
Answer: (a) P = 6W + 2
(b) L = 2W + 1
(c) Width = 13cm
Length = 27cm
Step-by-step explanation:
The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:
L = (2 × W) + 1
(b) L = 2W + 1
Therefore, P = 2(L + W)
P = 2( 2W + 1) + 2W
P = 4W + 2 + 2W
(a) P = 6W + 2
Since perimeter is given as 80cm. Therefore,
P = 6W + 2
6W + 2 = 80
6W = 80 - 2
6W = 78
W = 78/6
W = 13
Width is 13cm
Length = 2W + 1
Length = 2(13) + 1
Length = 27cm
The width of the rectangle is 13cm and the length is 27cm.
Description of a rectangleA rectangle is a quadrilateral. Opposite sides are equal. The four angles in a rectangle is equal to 90 degrees.
The formula for determining the perimeter of a rectangle = 2x (length + width)
P = 2(L + W)
Perimeter = 80 length = 1 + 2w Width = w Determining the values of width and length80 = 2(1 + 2w + w)
80 = 2(1 + 3w)
40 = 1 + 3w
40 - 1 = 3w
39 = 3w
w = 13cm
Length = 1 + 2(13) = 27cm
To learn more about rectangles, please check: https://brainly.com/question/16595449
anyone know the answer
Hello,
Answer D
[tex]\begin{array}{|c|c|}x&y\\--&-------------\\-1&-3*\sqrt{-1+1} =-3*0=0\\0&-3*\sqrt{0+1} =-3*1=-3\\3&-3*\sqrt{3+1} =-3*2=-6\\8&-3*\sqrt{8+1} =-3*3=-9\\15&-3*\sqrt{15+1} =-3*4=-12\\--&-------------\\\end{array}[/tex]
(d) X(-12) = 132
help me with equations
[tex]\large\bold{\underline{\underline{ x=-11}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]x \: ( - 12 )= 132[/tex]
[tex]↬ \: x = \frac{132}{ - 12} [/tex]
[tex]↬x = - 11[/tex]
Therefore, the value of [tex]x[/tex] is [tex]\boxed{ -11 }[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]
[tex]x \: ( - 12) = 132[/tex]
[tex]➺ \: - 11 \: ( - 12) = 132[/tex]
[tex]➺ \: 132 = 132[/tex]
➺ L. H. S. = R. H. S.
Hence verified.
[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]
Answer:
Step-by-step explanation:
x(-12) = 132
To find the value of 'x' , divide both sides of the equation by (-12)
[tex]\frac{x*(-12)}{(-12)}=\frac{132}{-12}\\\\\\x = -11[/tex]
helppp plzzz right nowwwwwwww
Answer:
They are parallel so also -4/3
A menu at a local diner has 12 appetizers, 8 entrees, and 4 choice of desserts. How many different meal combinations are possible when you select one appetizer, one entrée, and one dessert from the menu?
Answer:
12* 8 * 4 = 384
Step-by-step explanation:
What is the value of x to the nearest tenth?
A) 3.3
B) 9.5
C) 8.0
D) 4.7
Answer:
D) 4.7
Step-by-step explanation:
this perpendicular connection with the circle center cuts this intersecting line in half, which is therefore on both sides of x 6.5 long.
I assume 16 is the diameter, so the radius is 8.
therefore, x is one side of the right-angled triangle of
radius
x
half of the intersecting line
Pythagoras
8² = x² + (6.5)²
64 = x² + 42.25
21.75 = x²
x = 4.7
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
X=39.3
Step-by-step explanation:
Cos=adjacent/hypotenuse
Cosx=6.5/8.4
X=arccos(6.5/8.4)
X=39.3° rounded from 39.302°
Which integers could you add to −18 to get a sum that is greater than 5?
Answer:
23
Step-by-step explanation:
-18+(18+5) = 5,
so adding any integer that is greater than (18+5)=23 will give a sum that is greater than 5.
Answered by GAUTHMATH
When 7 times a number is decreased by 8, the answer is the same as when 3 times the number is increased by 4. Find the number.
Answer:
x=3
Step-by-step explanation:
Equation: 7x-8=3x+4
4x=12
x=3
7x-49=y
Solve for x?
The solution for x is x = (y + 49)/7.
Given that an equation 7x - 49 = y, we need to determine the equation in for of x,
To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 7x - 49 = y.
Add 49 to both sides of the equation to isolate the term with x:
7x = y + 49.
Divide both sides of the equation by 7 to solve for x:
(7x)/7 = (y + 49)/7.
Simplify:
x = (y + 49)/7.
Therefore, the solution for x is x = (y + 49)/7.
Learn more about equation click;
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Does anybody know the answer to this ?
Answer:
A
Step-by-step explanation:
If you like peanut butter and chocolate, then you will love Reese's.
What is the converse of the statement?
Answer:
Reese's love peanut butter and chocolate
hope it helps u
plz mark it as brainliest
A condition statement is logically equivalent to a biconditional statement. true or false
Answer:
true
Step-by-step explanation:
Because a logically equivalent is the same as biconditional statement
Step-by-step explanation:
hello the answer is true, you can check but it's obviously true
A rhino can run 28 miles per hour. What is that speed in feet per second, to the nearest whole number?
Answer:
A rhino runs at a speed of about 28 miles per hour.
We need to determine the speed in feet per second.
Converting miles to feet:
The miles can be converted to feet by multiplying 5280 with 28 miles per hour.
Thus, we have;
28 x 5280 = 14784028 × 5280 = 147840
Thus, the speed of the rhino in feet per hour is 147840
Converting hours to seconds:
The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)
Thus, we get;
Speed=\frac{147840}{3600}Speed=
3600
147840
Speed = 41.066667Speed=41.066667
Rounding off to the nearest whole number, we get;
Speed = 41
Therefore, the speed of the rhino is 41 feet per second.
Here are two spinners.
6
2
spinner A
spinner B
bome
4
3
2.
4
The two arrows are spun and the score is obtained
by multiplying the two numbers.
1
spinner A
6
2
6
6
12 18
10 2030
4
3
spinner B
a) Complete the possibility space.
5
b) What is the probability of scoring a total of 6?
c) What is the probability of scoring a total greater than 10?
Answer:
2/9 ; 4/9
Step-by-step explanation:
______SPINNER A_____
_____ 2 ____ 4 _____ 6
1 ____ 2 _____4 _____6
3____ 6 _____12____ 18
5____10_____20____30
4 * 3 = 12 ; 5 * 2 = 10 ; 5 * 6 = 30
Probability of scoring a total of 6 :
From the sample space ; Number of 6's = 2
Total sample space = 9
Recall : probability = required outcome / Total possible outcomes
P(total of 6) = 2 / 9
P(total greater than 10) :
Required outcome ; > 10 = (12, 18, 20, 30) = 4
P(total > 10) = 4 / 9
Step-by-step explanation:
b) what is the probability of scoring a total of 6?
b) = 2/9
C) what is the probation scoring a total greater than 10
c)= 3/9
Find the value of f(3) given f(x) = − 5x + 2
Answer:
- 13
Step-by-step explanation:
Plug 3 in for x:
-5(3)+2
Simplify :
-15+2
=-13
Answer:
-13
Step-by-step explanation:
f(x) = -5x + 2
f(3) = -5(3) + 2
f(3) = -15 + 2
f(3) = -13
PLZ HELP WILL GIVE BRAINLIEST
(sat prep) For the figure, which of the following is true?
I m∠1+m∠2=m∠6+m∠5 m
II∠1+m∠3=m∠6+m∠4
III m∠1+m∠3+ m∠6=m∠2+m∠4+m∠5
A I only
B I and II only
C II only
D II and III only
Need help on this question asap pleasee
Answer:
option c is correct ,,,,,,find the value of the expressions 3x^3-2y^3-6x^2y^2+xy for x=2/3 and y=1/2
Hi!
[tex]3x^3-2y^3-6x^2y^2+xy=\\\\=3\cdot(\frac{2}{3})^3-2\cdot(\frac{1}{2})^3-6\cdot(\frac{2}{3})^2\cdot(\frac{1}{2})^2+\frac{2}{3}\cdot\frac{1}{2}=\\\\=3\cdot\frac{8}{27}-2\cdot\frac{1}{8}-6\cdot\frac{4}{9}\cdot\frac{1}{4}+\frac{1}{3}=\\\\=\frac{8}{9}-\frac{1}{4}-\frac{2}{3}+\frac{1}{3}=\frac{8}{9}-\frac{1}{4}-\frac{1}{3}=\frac{32}{36}-\frac{9}{36}-\frac{12}{36}=\boxed{\frac{11}{36}}[/tex]