6 The coefficient of sin( 2x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not decimal no space)

Q: Farmer Lindsey estimates that after t days, her crop will be increasing at a rate of r(t)  =  15t8 +...

A: Solution ) r (t) = 15t8 + e-0.76t when t = 0 r(0) = 15×(0)8 + e--0.76×0 r(0) = 0 + e0 r(0) = 0 + 1 r...

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A: Given query is to eveluate the integral.

Q: find eigen value of matrix A -2 %3D -4 2. 2.

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Q: 1. lim 10 2x+1 2. lim X2 *-1 3. lim 4. lim f(x) if f(x) =- if x 2-1 if x>0 if x s-1 if x>-1 5. lim f...

A: Since you have posted multiple questions as per our guidelines we are allowed to answer first three ...

Q: V3 7. arctan 3.

A:

Q: Cansider the function. x) - 3x - 8 And the Inverse function of r. Slep 1 Let y- 3r-8, then solve or ...

A: The given function is; f(x)=3x-8.

Q: An exponential function has a decay factor of 0.03. What is the percentage decay rate?

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A:

Q: i. Comment whether the sequence is Converges or diverges. ii. Obtain the first five terms of that se...

A: We know sequence is convergent when limit of sequence is finite

Q: Which integral would represent the area shown below? The function is f(x) = -x³ + 3. %3D 3 2- 1- 0.5...

A: Given query is to find the area of the shaded region.

Q: Evaluate the integral. 16 In(y) dy Vy

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Q: Sketch the region enclosed by y=4x and y= 4x^2. Find the area of the region

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Q: 34x + 16 f(z) g(z) The partial fraction decomposition of can be written in the form of 8x2 - 14x + 3...

A:

Q: Which of the following best describes the function below? S(x)={3r if.rs2 |x³ if 2<x f(x) =: A. Cont...

A: To check continuity we find left hand limit and Right hand limit. If they are equal then function is...

Q: 6.The lim x +3 is equal to 1S 3x-4x+n sin t. 7.The [1 is equal to

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: Consider the following function RX) - 9x - 7 Determine whether the function is even, odd, or neither...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A: To find out the distance from point P to line AB. 

Q: Vhich of the following best describes the function below? S (x) = * -4 ifx<2 |Vx-2 if 2sx A. Continu...

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Q: dx (apply the properties on how to solve improper integrals 1 – x²

A: Given query is to find the value of the integral.

Q: 1J"In xdx 1.5

A: Given query is to find the integral.

Q: By completing the square, dx the integral S equals: 2x2+8x+10 tan-1(x + 2) + C : tan-1(x – 2) + C th...

A:

Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the abo...

A:

Q: Find the arclength of y = 2x/2 3/2 on 1 < x < 3

A: We know that the arclength of a curve y=f(x) on a≤x≤b is given by L = ∫ab1+f'(x)2 dx

Q: If g is continuous at a and f (x)=(x² -a' )8(x). fir find f'(a). Hint: Use f'(x1) = lim S(x)-f(x,) %...

A:

Q: A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount o...

A: Question- A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, th...

Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives 

Q: - 1] Q2 a. Find the eigenvectors of the matrix b. Solve the ordinary differential equation: dy Y-e d...

A:

Q: Clategrade)- dv ノンコォス

A: ∫dvv2+cv+1

Q: Let lim an = a and lim bn = b. Therefore n-00 n-00 ii) lim anbn = ab, n-00

A:

Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

A:

Q: g) The integral S tan(vx) dx x cos2 (Vx)

A: As per guidelines we can answer only one question at a time so if you need more answers kindly repos...

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x + In|x² + 1| + C - x cot-...

A: Topic = Integration

Q: b. Find the unit tangent vector and the principal unit normal vector for motion R(t) = (cos 2t)i + (...

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: (a) Given: - The condition is the same direction as -2i+9j. To find: - The unit vectors that satisfy...

Q: In (1.06)

A: answer of given question is in step 2

Q: • Use the trapezoidal rule with n = 8 to approximate %3D cos(x) dx Keep at least 2 decimal places ac...

A: USE Trapezoidal rule with n=8 

Q: indicated

A: Please refer to the image below

Q: Sketch a graph of the function y = 3x2 – 8x + 5. Use calculus to find: %3D a. increasing and decreas...

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Q: The derivative of the function y = e* In(cos x) is: y' = e*(In(cos x) – tan x) y' = e*(In(sec x) + t...

A: To find the derivative of the following function.y=ex lncos x

Q: 1 dx (2х + 1)4, 8

A: Given query is to find integral converges or diverges.

Q: x2 – 1 dx 9х3 — х

A:

Q: The graph shown below is fx) = (x - 2)2. What is the integral function g(x) that defines the area un...

A: Given: f(x) = (x - 2)2 What is the integral function g(x) that defines the area under this line betw...

Q: If f(x) = 6 cotlx + 8, then find the value of f'(-2) is %3D -2 -8 V5 8. OO O

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Q: Given the vector function *(t) = (t, cos (2t)) Calculate the curvature when t=5.4

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Q: W. A. Mozart’s opera Die Zauberflöte is scheduled to premiere at Theater auf der Wieden. If the stag...

A: This question can be solved using the concept of area under curve.

Q: Determine the surface area generated when a portion of the curve in the first quadrant of y? = 4 +x2...

A:

Q: 2 cos 20 sin? 0 + 2 cos 0 cos 20 sin 0 + cos 20 cos? 0 d0 (use trigonometric integrals)

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Q: Find a function y(x) such that 5yy' = x and y(5) = 8. y =

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Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

A: ' According to the guidelines iisued by the company we are supposed to answer only one question. Kin...