xsin-xdx The antiderivative of -V1-x2 sin-!x +C A True B) False

Q: 3. +4 Use the ehain rule to find devinitine

A: Here we have, y=x2-22x3+44 Differentiate with respect to x,   

Q: -1 2. cos

A: 2.cos-1-12

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

A:

Q: Find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2)

A: We will find the minimum distance from the point to the plane x-y+z=3 at (1,-3,2) in the following s...

Q: The derivative of the function y = In is: tan x.

A: Given query is to find the derivative if the expression.

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

A:

Q: dy There is no need to simplify. dx 2. Find cos- (sin x) – sech(tan-x) a. y = ecosh a

A: Find your answer below 

Q: Using an appropriate substitution, (cos-1 (x) the integral S dx equals: V1-x2 -e(cos- (x) -elcos-1(-...

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: Calculate the volume of the solid produced by rotating the region enclosed by about x - 4x – 4y + 4 ...

A:

Q: Consider the parallelepiped with adjacent edges u = 9i + 7j + k v = i +j+ 6k w = i+ 9j + 4k Find the...

A: We can find the volume as below

Q: Given F(x)=2f(xr)-g(x) and f(-1) = 2. f'(-1) = 3,9(-1) = -5,9'(-1) = 4, find F'(-1). %3D %3D

A: We can find the answer as below.

Q: 00 e-2y dy 0.

A:

Q: For WHAT VALUES OF THE EXPONENT m is the function y = xm a solution of the differential equation: x?...

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V16.I as follows: Let f(x) = Va. Fin...

A: L(x)=f(a)+f'(a)(x-a)

Q: Question 10 Determine whether the improper integral converges or diverges. dx 10 -9 A Diverges B) Co...

A:

Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t L...

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: Use integration by parts to evaluate the integral: for 9t sin(t)dt

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Q: 1+2y² y sin x dyt cs C vdr = 0 dy 10. dx sec2

A:

Q: What is the formula that would be used to calculate the trapezoid approximation of s82x dx using fiv...

A: we have to approximate the value of integral by using trapizoid rule

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

A:

Q: Evaluate the indefinite integral sin (2)cos"(2)dz 4

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Q: Evaluate the indefinite integral sin (2)cos (2)da = 3

A:

Q: Find the centroid (, j) of the region bounded by: . y = 3x + 8x, y = 0, x = 0, and x = 6 %3D y =

A: The given problem is solved below in detail.

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

A: We need to find surface area.

Q: g3 (*° – 2x² + 1)dx 9. Evaluate the definite integrals (give exact answers): •3 a) | (2x+3)(x – 5)dx...

A: Given that, There are two integral given, a). ∫23(2x+3)(x-5)dx b). ∫121x3(x3-2x2+1)dx We have to fin...

Q: An inverted pyramid is being filled with water at a constant rate of 60 cubic centimeters per second...

A:

Q: Rewrite the following integral using substitution: " s in3xdx

A: We can rewrite the integral using substitution as below.

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: ne graph of y =- have a horizontal tangent line? +9

A:

Q: indicated

A: Please refer to the image below

Q: 2 4. sin

A: 4.  let, x=sin-122x=sin-1222x=sin-112sinx=12sinx=sinπ4

Q: DO NOT include spaces in between characters. * d (y -8 de (y° +8 Compute at x =2.

A:

Q: dy Find using implicit differentiation, for the equation a + = 11 is. da

A:

Q: az Find az and ду e = 5x 2² + sin(r + 2) – y?.

A:

Q: Let f(t) be the temperature at time t where you live and suppose that at time t = 1 you feel uncomfo...

A:

Q: dy Find using implicit differentiation, for the equation a + y = 7 is dr

A: We can find the correct option as below.

Q: Question 3 Determine whether the improper integral converges or diverges. 14e5x dx A Diverges B Conv...

A:

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...

Q: Suppose you are standing at a point P = (60,40) on a hill whose shape is given by f(x, y) = 1000 – 0...

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Q: 8. arctan (-1)

A:

Q: Determine f'(1) if f (t) = log10,ti t+1 17 Your anSwer

A:

Q: Given the matrix 5 7 Find the Characteristic Equation and find its solutions (aka: eigenvalues). AR ...

A: The given matrix,9-157

Q: spac characters. * d Compute de y -8 at r =2. y +8

A: Topic:-  derivatives

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: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

A:

Q: d) f(x) = e) р(х) %3D (е* + 1)(е* — 1) x3

A: Given: To find derivative of  d) f(x)=exx3 e) p(x)=(ex+1)(ex-1)

Q: The integral of t2ln t with respect to t is; 13 A -(In t- 3) +C B none of the given choices -(3In t ...

A:

Q: A potato is launched vertically upward with an initial velocity of 124 ft/s from a potato gun at the...

A: According to Bartleby's policy we can solve only 3 subparts of a question. Apologise for the inconve...

Q: Determine whether the series converges. k=1 The series

A: The given series,       ∑k=1∞k4e-k5