Let R be the region bounded by the curve y = 3√x and the line y = 3x. Then the double integral / f(x, y)dA is equal to: Select one: OA. f(x, y)dydx -3√x 3x B. None of the choices -3 3√x OC. f(x, y)dxdy 3 3x ff(x, y)dydx O D. D. 3 OE. f(x, y)dydx 3

Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

A:

Q: (xy+ yz+ xz)dV B = {(x, Y, 2) | 0 < I < 5,0 < y < 4,0 < z< 7} . Do not round. Hint: dV can be…

A:

Q: (2rz - yz)dr + (2yz – zr)dy – (² – xy + y²)dz = 0.

A: Given that, 2xz-yzdx+2yz-zxdy-x2-xy+y2dz=0

Q: Find Ix, Iy, Io, x, and for the lamina bounded by the graphs of the equations. y = √√x, y = 0, x =…

A:

Q: Evaluate (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 3

A: To solve the line integral ∫(2x - y)dx + (x + 8y)dy over the curve C, which is the x-axis segment…

Q: Calculate using polar coordinates: 1-x² x. y. √ x²+y² dy dx So So

A:

Q: ton (5-e

A: Known fact: tanπ2-θ=cot θ.

Q: Find the extremum of f(x,y) = 9x2y² +4y² + 4x². %3D Answer:

A: Topic= Derivative the extremum is 0.

Q: Evaluate xy dx + (x+ y)dy along the.curve y = 4x from (- 3,36) to (- 2,16). C xy dx + (x + y)dy =] C…

A:

Q: Find I, Iy, Io, X, andy for the lamina bounded by the graphs of the equations. y = √√√x, y = 0, x =…

A: Given that the equations is:                                To find: for the lamina bonded by the…

Q: the extremum of f(x,y) = 7x²y² +5y² 9x?. +

A: Given that: f(x, y)=7x2y2+5y2+9x2

Q: I. Evaluate the following: a. (x³ + cos y + 5 dy = - 3yx²) dx b. xdy – ydx = (4x2 + y2)dy c. dx +…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: d 3) Find 6 '+2t – 9)

A: To find:

Q: Find the extremum of f(x,y) = 3x²y² +5y² + 5x?. Answer:

A: Given:- f(x, y) = 3x2y2+5y2+5x2 To find:- Extremum of f(x, y)

Q: c). Evaluate √√x² + y² ds along the curve r(t) = (4 cost)i + (4 sint)j +3tk, -2x≤t≤2π.

A: We solve the given line integral.

Q: Find the extremum of f(x,y) = 7x²y2 +4y2 4x2. Answer:

A:

Q: Find I, I, I, X, and y for the lamina bounded by the graphs of the equations. y = √√√x, y = 0, x =…

A: The region is bounded  by The graph of region

Q: ²5° c) Evaluate x² (1 + x³)³ dx

A: We solve given integral by method of substitution.  To make integral easier,  we substitute some…

Q: 3.Find [, L (3x² + y)dydx

A:

Q: What are the foci of(x/a)2+(y/b)2 = 1 if a&lt;b?

A: We have the following given ellipse -  xa2 + yb2 = 1   where a&lt;b

Q: dy Given y = x3 In x, is: d.. Select one: a. 3x2 In x + x2 b. r2 c. 3x In x + x³ d. 3x2 In x

A: Using the product rule of differentiation, it can be written that…

Q: Find dy for y=3x4-5√√/7x. dy=[

A:

Q: Given P (8, 0) and Q (0, -6). The perpendicular bisector of PQ meets the axis of the axis at A and…

A: The points are P(8,0) and Q(0,-6)

Q: Find the extremum of f(x,y) = 5x²y² +5y² + 6x?. Answer:

A:

Q: dx Find ; a2+x2 Find S x² + Vx – 2 dx Find Sx²e=* dx Find ſ e5x+2 dx

A:

Q: Use calculus to show that the maximum possible area of a triangle with one vertex at (0, 0) and the…

A:

Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

A:

Q: dy Find for the given functions. dx3 a) y = /2x + 3 b) y = 2.x – 1

A:

Q: Evaluate (2x - y) dx + (x + 3y) dy. C: x-axis from (0, 0) to (0, -3) and (0, -3) to (8, -3)

A:

Q: dy +Yax = 3x²y²dx, 3x2.

A: Given differential equation:-       dy + ydxx = 3x2y2dx

Q: Evaluate (2x – y) dx + (x + 6y) dy. C: x-axis from x = 0 to x = 3

A: