S 2y(yª – 4)¯³ dy

Q: Y=c メャ Lin x Find and cz when y'-98 Y (14-7)=0 and

A:

Q: y³y −3= ... Oa. 1/y Ob.y O C. 1 c. Od.0

A: Given expression isy³.y-3

Q: •2 cy sỏ , (xy2 + x) dxdy.

A:

Q: V1+e-z dr.wo ez

A:

Q: A 1 x る8 %3D 은 AB=C Find X+g?

A:

Q: Solve Ja-yi ) dy

A:

Q: 7x + 6 Find dy for y = dy =

A:

Q: 1 1+x2 (y + 2x)¯i dy dæl 0 0

A: Double integral

Q: S,(2x-y)dxdydz

A: Consider the integral: ∫12∫0z2∫0y-z2x-ydxdydz

Q: (2y) dy. CSC

A: We will start with the substitution, csc-1(2y) = x and apply the integration by parts. And, will use…

Q: (x²y – 2ry) dy dx

A:

Q: e-(6x+5y) dxdy

A:

Q: g-3y-70 dy

A:

Q: Find dy. y = 33 + 10x4 – 5x5 dy = (Simplify your answer.)

A:

Q: •3 2ye dx dy y? Evaluate

A:

Q: 4. (x? — у?)dx — 2хydy %3D 0

A:

Q: Find xy dydr. 4

A:

Q: 1 V1- x2 dy dx 0.

A:

Q: Vx2 – 4 d.x 3.

A: Please refer the attached image for complete solution.

Q: Evaluate (2xy + y3 + 8x)dx + (x2 + 3y²x + 6y)dy (2.0) (1,1) Select one: O a. 6 O b. 8 O C. 5 O d. 7

A: Given :                   ∫(1,1)(2,0) 2xy + y3 + 8x dx + x2 + 3y2x + 6y dy

Q: 3. Evaluate ry? dz dr dy.

A:

Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

A:

Q: dy 10. y/2ay – y²

A: To integrate∫dyy(2ay-y2)

Q: The accompanying diagram shows a right triangle. If the triangle is rotated 90° counterclockwise…

A:

Q: 12 (Sim x truy)dx Jy

A: For the given problem, we first solve one integral with respect to one variable keeping the other…

Q: on(1-y)csc²( y) dy

A: This question can be solved using the concept of integration by substitution.

Q: (4 – y²) dy dx 0Jo

A: Using double integration.

Q: Find dy for y = (4x +2)2. dy = (Simplify your answer.)

A:

Q: 2. Find d if y= 2² +25 da

A: