nx and y=cosx from x=- to x=- 4 4

Q: To integrate by u-substitution, which part of the integrand should you choose as u? S cos de sin² z…

A: We have to find out the substitution

Q: S For x1/2 dx and using the substitution = x1/2, the resulting integral takes the form: x-x3 -du S-…

A:

Q: Evaluate sin sin (Inx) dx. Integration by parts will be used repeatedly. What is the expression…

A: Integrating By Parts : ∫u.v dx =u∫v dx -∫dudx∫v dxdx

Q: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

A:

Q: (c) y = 1, y = 1/2, x = 2 (d) y = √x, y = 22, x=9 (e) x = 2y², x = 4 + y² (f) x = 1 - y², x = y² – 1…

A: The area between any two curves is given by formula A = ∫ [f(x) - g(x)] dx  with limits from a to b…

Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

A:

Q: S The integral S x dx x²+√√x²-1-1 sece tane de sece - 1 sec²0 do 1+tano cose dᎾ 1 - sino sine de 1 +…

A:

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vectors A and B such that A is parallel to 2, 1,-1, B is perpendicular to 2, 1,-1…

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: We have to solve for single payment.

Q: Find ¹₁ (5z + 2y)dA where D = {(2, y) | z² + y² ≤ 16, z ≥ 0}

A:

Q: QUESTION 4 To evaluate use integration by parts. What is the expression after the second integration…

A: We have to solve above integral

Q: Exercises To Solve [No.5] Lim 9-5 -4 S dx -8x-15 Cosx Sinx+25inx+5 dx.

A: Solved below.

Q: dx can be transformed to which of the following when trigonometric substitution is used? (x²+4)² sin…

A: We have to find the integral

Q: 1x3 Inx dx = fx) ((1/4) Inx-B) + C?

A: Integrating by parts.   Hence we get answer 0.

Q: Integrate f(x, y, z)= -√√x²+² over the circle r(t)=(acost)j + (asint)k, 0≤t≤2.

A:

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: QUESTION 12 Evaluate Stan" (x) sec¹x dx 1 -tan (m + 1)(x) + m-1 -tan (m + 1)(x) - — ¹ m-1 -tan (m +…

A:

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A:

Q: Question 9 The volume of the solid generated by revolving the region bounded by x²=4y and y2=4x…

A: Solution is here

Q: Evaluate Stan" (x) sec¹x dx 1 A m+1 I m+3 B 1 -tan (m + 1)(x) +- m-1 1 -tan (m + 3)(x) + m+1 -tan…

A:

Q: 3x5 3x4+6x3-3x2 - 6x uate -dx, using method of partial fractions. x²-2x O [ (x − 1) 1/6(x+2) 16/3 -…

A:

Q: ind the open intervals on which the function shown in the graph is increasing and decreasing.…

A: Topic:- function

Q: Let S be the surface with equation (z - 4)² = 4x² + 4y². Viewing S as a surface of revolution, find…

A:

Q: QUESTION 20 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

A: The problem is to find the inner radius of the disk which is used to find the volume of solid…

Q: find the inverse Laplace Transform of the functions     a.) 5/3s b.)14/((3s+2)(s-4))

A:

Q: for the implicit equation zey +In(y) = x³-12? da dy 3x2 02-2 = xey + Y 3x² - ey dy da xey + What is…

A: Topic = Derivative

Q: ve [No.5] -2 2 зах 9x²-6x+5

A: On solving this we will get

Q: Tercises To Solve [No.5]

A:

Q: 1 3 Find the area bounded by the curve y== -x3. -x² + 3x and the line y=x. 16 10 square units 8…

A:

Q: For the following exercises, find aj dt and direct substitution. 225. f(x, y) = ln(x + y), x=e¹, y =…

A: Given;  f(x,y)=ln(x+y), x=et, y=et.

Q: Evaluate fun" (x) setx de Stan" 1 -tan (m + 1)(x) + — -tan (m-1)(x) + C m-1 ₁ (m + 2)(x) + -tan" (x)…

A: On solving this we will get Option (3) is correct

Q: Question Find the area of the region that is bounded above by the curve f(x) = (x + 8)2 and the line…

A: This question can be solved using the concepts of area bounded by curves.

Q: remaining

A:

Q: 2. Which of the following statements is TRUE? (Circle ALL that apply) a. |ū - v is always less than…

A: We need to check whether the given statements are true. We will check one by one.

Q: Solve using Euler's Method dy dx sin(x+y) ex,y (0)-4, h-0.1 -

A:

Q: Give the general form of the equation of the plane that is perpendicular to the plane x+2y = z + 5…

A: equation of line

Q: Ji 16 sin² x cos² x dx dx B

A:

Q: Suppose m and n are constants and m #n- Evaluate * sin(mx) cos(nx) dx cos(m+n)x] + C 1 −cos(m−n)x+·…

A: Indefinite Integration

Q: (B) Find equations of the tangent and the normal lines to the curve y-exy = sinh x² +ln(x+√y point…

A: Given the curve y-exy=sinhx2+lnx+y at the point P0,1

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

Q: Given the function f(x) = = Find the difference quotient Find f'(x) by determining lim f(x +h)-f(x)…

A:

Q: Suppose m and n are constants and m #n. Evaluate I sin O 1 1 -cos(m-n)x- - cos(m+n)x+ C n-m m+n 1 1…

A:

Q: x² - 25 to fill in the table: Xx - 5 6 5.5 5.1 5.01 Based on ONLY the table of values above, what…

A:

Q: 48. Evaluate: A. (x + 1)³/² + C 5 B. (x + 1) 5/3 + C C. (x + 1) 5/² + C D. (x + 1) 5/4 + C 49.…

A: As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And The common integral; ∫eax+bdx=1aeax+b+C…

Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. -15…

A:

Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/4 3/8…

A: Please follow the next steps.

Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

A: Given query is to find the equation of the tangent.

Q: Using the tangent line to the graph of the function f(x) = In(x2 + 1) at x = 2, what is an…

A:

Q: Find the area of the region that is bounded above by the curve f(x) = (x + 3)² and the line g(x) =…

A:

Q: The curves C1 and C2 are both symmetric with respect to the polar axis. Each of these curves is…

A: