What is the area of the region bounded by the graph of r2 16 cos 20? (Choose all applicable answers.) 2 (16 cos 20)d0 A = [ *- (16 cos 20)² d0 A = [*- (16 cos 20)d0 A = [¯ (16 cos 260)² d0 2 S *. (16 cos 20)² d0 A = [" (16 cos 20)d0 A = 2 [ *- (16 cos 20)d0 A = 2 f,¯ (16 cos 20)² d0

Q: Find the vector component of v = (4, - 1, 7) along b (3, 6, -6) and the vector component of v…

A:

Q: x10 14) cos Vt dt )음 COS

A:

Q: Use the Chain Rule to find- af when r = 2, t =-1 of the function ar f(x, y, z) = e3xyz cos 2xyz ; x…

A:

Q: Use the Root Test to determine if the series converges or diverges In n n 9n-10 n-1

A: We can solve this as follows:

Q: Given: a, =4, d=-1 Answer the following questions. Part: 0 / 2 Part 1 of 2 (a) Write the first five…

A:

Q: Find the solution with the given initial condition. r"(t) = (e', sin (t), cos (f)), r(0) = (1,0, 1),…

A:

Q: Solve the Bernoulli equation. -6 5xy' +y = y°, x>0

A:

Q: Consider the parallelepiped with adjacent edges u = 5i + 2j + k v = i+j+ 7k w = i + 8j + 2k %| Find…

A: The volume of the parallelepiped is 253

Q: Let a = ci + j and b = 4i + 32j. Find c so that a and b are orthogonal. %3D i

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

A:

Q: 1. The demand function for an electronics company's stereos is D(g) = 228.4 -18q and the supply…

A: Given problem:- 1. The demand function for an electronics company's stereos is D(q) = 228.4-18q and…

Q: Determine if the following statement is true or false. The lines Lj and L2 are skew. Lj :x = 1 + 7t,…

A:

Q: (x³ +2x)" Find dy/dx, given the following: y = V2x-4 (2³ +2x)“ V(2r–4) 17 -36a²+10x-24 %3D (2x–4)²…

A: Quotient Rule of differentiation :  ddx (uv) = v.dudx-u.dvdxv2. dxndx=n.xn-1

Q: Solve the differential equation. dP 3 Р(4) — 20 dx Using sqrt{t} for Vt. P(t)= 6sqrt{t} +8 O P(t)=…

A: Given query is to solve the differential equation.

Q: r = 4 – 3 sin 0

A:

Q: average cost per gigabyte of RAM can be approximated by the function C(t)= 8,500,000(0.65)^ t, where…

A: Given query is to find the the average cost of ram for the given time.

Q: Find the directiunal deavative of the function at the given pornt in the direction Lof the rectorv…

A: Given problem:- Find the directional derivative of the function at the given point in the direction…

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. (y - x) dx +…

A:

Q: Let p(x) = x° + 10x- 36x3 + 36x² – 37x + 26. What is the relationship between p(x) and f(x) = 5x +…

A: The objective of the question is choose the correct option.

Q: 4 (2+ VT)5 5. Calculate 0.

A:

Q: 3. Given that 3e¬4rt + 2se" – 4w²rt = 3. aw (a) Find using implicit differentiation. at (b) Find at…

A: “Since you have posted a multiple question, we will solve first question for you. To get remaining…

Q: x2 1. Let f(x) = 3Vx² – 1 and g(x) x4 – 81 (a) Determine the domain of f and g. (b) Compute gof and…

A: Find domain.  According to guidelines we solve only first question.

Q: Solve the differential equation. dy = 5 ex-y dx

A:

Q: Let a = ci + jand b = 9i + 54j. Find c so that a and b are orthogonal. c = i

A:

Q: x cos x² 2. X C0 dx -siny

A:

Q: Find parametric and symmetric equations for the line satisfying the given conditions. Through the…

A: Given query is to find the parametric and symmetric equation.

Q: Using Lagrange multipliers, find three positive numbers whose sum is 24 and such that the sum of…

A:

Q: Four-bar linkages are one of the simplest family of mechanical linkage systems. Draw diagrams and…

A: Four-bar linkages are one of the simplest family of mechanical linkage systems.

Q: The evaluation of 3y3 e*y dxdy is е - 1 е -2 None of them O

A:

Q: Find a formula for the nth partial sum of the series and use it to find the series' sum if the…

A: The given series, 91.2+92.3+93.4+......+9nn+1+.......

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = 0 for f(x) = sin(x). (Use symbolic…

A:

Q: Evaluate the integral using Integration by Parts. 8x sin(x) dx (Use symbolic notation and fractions…

A: Please see the answer below.

Q: Let a = ci +jand b = 12i + 9j. Find cso that the angle between a and bis 6' Round your answers to…

A: Solve by dot product

Q: Area inside the circle r = 3 cos 0 and outside the cardiod r = 1+ cos 0

A: The region which is inside the circle r=3 cos θ and outside the cardioid r=1+cos θ is:

Q: th (a) Write a nonrecursive formula for the n term of the arithmetic sequence a based on the given…

A:

Q: Find the vector component of v = 2i – j+ 3k along b = i+ 4j + 8k and the vector component of v…

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 4/3 and whose components have…

A: use lagrange multipliers to find a vector in 3-space whose length is 43 and whose components have…

Q: f(x, y) = 2y – 6ry - x 2.

A:

Q: The integral of the given function csc x dx is equal to 3cos' x-10sinx cos'x-15sin xcOsx 15sin'x…

A: To evaluate the given integral.

Q: 1. Given: - 4r? with f'(r) = (r+ 2)2" r(r+8)(r – 2) (x+2)3 8(7r-4) (x+2)4 f(r) = and f"(x) = %3D %3D…

A: fx = x3-4x2x+22 ; f'x = xx+8x-2x+23; f''x = 87x-4x+24

Q: Find f. f" (0) = 2e® + 3 sin 0, f(0) = 0, f' (0) = 1 Using O for 0. O f(0)=2e^O -3sin O f(0)=2e^O…

A: Given query is to find the function f(O).

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:

Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

A:

Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

A:

Q: -4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the…

A:

Q: Prove from the precise definition of a limit: lim x = 4 x-2

A: We have to solve the limit using definition.

Q: -3/2 dx S(35 + 4x – 4x²)

A: Explained below

Q: e) True or False: If 25 oranges are placed into 22 baskets, then at least one basket must contain at…

A:

Q: (a) Write a nonrecursive formula for the term of the arithmetic squence a based on the given…

A:

Q: Find P,(1,200, 1,800) and P,(1,200, 1,800), and interpret the results.

A: