Evaluate (2a³y +9y³)dA, D is the region bounded by y 33522 a. 5 Ob. 4811 5 C. None of the choices. 26522 3 24057 5 O d. e. ²7x 3 x and y = 2√x.

Q: Find the slope of the tangent line that passes through point (1, 2) to the graph 8y³ + x²y O-2/97…

A:

Q: 4. (a) Find (b) Hence evaluate d dx √1+x² X S (1+x²)³/2 dx.

A:

Q: 2 Consider the vector-valued function R(t) with Ả'(t) = (sec²(t – 1), √t' (a) Find R(t) given Ả(1) =…

A:

Q: Find and classify all critical points of the function f(x, y) = x + 2y - ln(x4y8) Item 5.pdf

A:

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx VI…

A:

Q: If A = {x+|x-1| : xER}, then which of ONE the following statements is TRUE? A. Set A has a supremum…

A: This question is related to set theory, we will solve it using given information.

Q: Set up the integral representing the area of the region between the curves x = -2, x= 3, y=x²-3, and…

A: Given problem:- Set up the integral representing the area of the region between the curves x = - 2,x…

Q: The force on the triangular plate that is submerged in water as shown below waters surface 6m 4m is…

A:

Q: 5. x-y(2-y) and x=-y

A: The given curves are; x=y2-y and x=-y Now find the point of intersection between the given curves.…

Q: find the surface area of the portion of the curve x²+y²=4 from x=0 to x=2 when it is revolved about…

A:

Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis π b is…

A: Area

Q: 1 The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) T O (26/3) T (1372/9) π O (248/9) T

A:

Q: y"+y' = 0; y(0) = 0, y'(0) = 1 cost + sint t + cost + sint O B) 1- e-t t-e-t OA) OD)

A:

Q: Let f(x) = x + 5 and let g(x) = x^2 + 5x. Specify the domain of f(x)/g(x).

A:

Q: x² 8. (x) tan 3x+cot 3x 9.f(x) = 2 sin 4x cos 4x =

A:

Q: 2 I 2 Vr +25 dz

A:

Q: The power series representation of f(x) = ln(x2-1) is given by Α. 24-1-1x", -1x<1 n=1 n+1 B. None of…

A: To find the power series representation of the given function.

Q: Part I: PARAMETRIC EQUATIONS. Find the second derivative of y with respect to x from the parametric…

A:

Q: At what angles between 0 and will one leaf of r = 4 sin 20 and the circle r = 2 will intersect? 5T…

A:

Q: Equation Conversion from Rectangular to Polar Coordinates x=rcos 8 y = r sin 0 1. Convert each…

A:

Q: Which of the following integrals represents the area inside the curve r = 3 + 2 cos 0 and outside…

A:

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ +1| + C dx…

A: Given

Q: 2x² 3x²-5x (a)y=-

A:

Q: Let F(x, y) be a continuously differentiable vector field satisfying property problem. Show that…

A: Answer is given in next step.

Q: d'y dx2 -sec³t -csc³t Find a. O b. O c. sec³t Od. csc³t Oe. in terms of t of x = sint, y = cost none…

A:

Q: S (3-√5x) dx √7x

A:

Q: create 2 sample word problems of chain rule

A: 1) Differentiate cos(sin(ax)) by using chain rule   d/dx { cos(sin(ax)) }  =  - sin(sin(ax)) * {…

Q: The power series representation of f(x) = n(x²-1) is given by O A. -1 -x+1, -1<x<1. n=in+l O B.…

A:

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y-axes. If the region is revolved…

A:

Q: dx Consider S= using rationalizing substitution. x1/2 + x2/3 Find the integrand in terms of z. A…

A: find out the integrand in terms of z.

Q: 7. A rope that weighs 0.5lb/ft is attached to a bucket filled with cement plaster. The cement…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: Given: 4x+8y=8, y=0 x-axis, x=0 y-axis So, the bounded region is as shown below. Apply the disk…

Q: 1. Consider a point in Cartesian coordinates given by (3√//3, -3,-8). (a) Find a corresponding…

A:

Q: Equation Conversion from Polar to Rectangular Coordinates r² = x² + y² r cos 0 = x r sin 0 = y |× y…

A:

Q: W (4) Find Laplace Transform F(s) for the variable x or y in the equations a- y" +2y'-3y=32e³; y'(0)…

A:

Q: Choose the correct answer for Wronskian, W for the following differential equation, y"-y=9e*…

A:

Q: A manufacturer is planning to sell a total of 500 machines to both foreign and domestic firms. The…

A: Let's find revenue function.

Q: 4x8 Evaluate efv dx 2 Use rationalizing substitution. A e√e² -2 -2√2 Arctan = √√e² - 2 + C e* 4 (B)…

A:

Q: What is y2 = 3x in polar form? r = 3 sin 0 sin 0 O Option 4 r = 3 csc 0 cote Option 2 r = 3 sin 0 -…

A: Given y2=3xTo find polar form:

Q: Set-up the integral using horizontal element for the area of the plane region, 0≤x≤ = 21. bounded by…

A:

Q: -3x² 2(T T + 10 25)

A: Follow the procedure given below.

Q: of Let f (x, y) = tanh-¹(x-y) with x=e" and y= usinh (t). Then the value of dt (u,t) =(4, In 2) is…

A:

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³ + 1| + C dx…

A: The integration of the integral is 1/[x^(1/3)+x^(1/2)].

Q: Select all statements which are TRUE. For statements with cross products, assume the vectors are in…

A: Let's find.

Q: How many arbitrary constants can be obtained from the answer if the given y"+y'+6y=9x³+x²-x is…

A: We know, The number of arbitrary constants in the general solution of a differential equation is…

Q: Part III: Equation Conversions 4 1. Convert r= into a rectangular equation. 2-sine 2. Convert 2x -…

A: Topic:-  polar and rectangular coordinate system

Q: The value of the integral in terms of u is? (a). 2u³ + 6u + Arctanu + C (c). 2u³-21n|u³+1| + C dx…

A: To evaluate: ∫dxx3+x Let I = ∫dxx3+x Assuming x=u6⇒dx = 6u5du

Q: The series representation of f(x) = n(x²-1) is given by power OA ¹+¹, -1<x<1. n=] } + [ B. None of…

A:

Q: Set up the integral representing the area of the region between the curves x = -1, x = 4, y = 2x -…

A: Consider the figure

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A: