D3.9. Given the field D = 60 sino ap+1.5p cosa, C/m², evaluate both sides of the divergence theorem for the region bounded by p = 2, p = 0, =л, z = 0, and z = 5.

Q: Find the area of the surface swept out by revolving the para- metric curve x = 5 cost + 5t sin t y =…

A: Area under curve.

Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

A:

Q: 5. Determine the point intersection between curve y= x(3-x)and the line y= x. Hence, find the area…

A: To find the intersection points of the given equations y = x(3-x)  and y = x

Q: Find the Area bounded by the curves y? = x and x = 2y – y².

A: Draw the graphs of the given curves and mark the intersection area.

Q: The area of the region bounded by the curves y = sin x, y= cos x, x = 0, x = - is 2 Select one: O a.…

A: Area of region bounded by curves.

Q: Q2) Find the area between a curve y-x+1 and the line y-2-xx≥ 0. AMP

A:

Q: Evaluate the line integral xyz ds where C is the line segment joining the points (1, – 1, 1) to (1,…

A:

Q: Daic. Find slope field for the folowing. y'=xy+Y• Then sketch the 5olution curve through (,).

A: The given equation is

Q: Use cylindrical coordinates to evaluate fffxdV where E is the region bounded by z = 1 = 2x² + 2y²…

A: By using cylindrical coordinates to evaluate the given integral.

Q: Find : ( 39 - Sincm) dx +(2x*) dy when C is the boundary of the limited area by curvess y= e* and in…

A: Given that I=∫c3y-sin x dx+2x2 dy                                   ……(1)   Boundary is given as…

Q: F(1, y.:)= (x², 2x²y*, 5yz*) Given: Find (a) div F (b) curl F

A:

Q: Given: Find (a) div F (b) curl F

A:

Q: y= 20-X and the line x= 2a , lts asymptote. a. Find the area of between the cissoid

A: The area under the curve is A=∫abfx−gxdx where, f(x) is the upper curve, g(x) is the lower curve and…

Q: A) Give f(x)-V-3 find f-*(x) ,x >0 B) : Find the area bounded by the curve y = f(x) =v2x +1 and the…

A: We have to find  A) f-1(x) for f(x) =√(x-3)  B) area bounded by the curve y = √(2x+1) and the lines…

Q: Find the area of the region bounded by the x-axis and the curves y = 2 sin(x) and y = 2 cos(x) where…

A: First draw the graph of the both function and define the required area to be calculated.

Q: Find the area of the region R enclosed by the curves y = x2 – 2x and the х — ахis.

A: Given: y=x2-2x

Q: 2) Find the area between the two curves y = 10 x² and y = -x + 8. Hint: First find the points where…

A: The given curve is: y=10-x2       ....1y=-x+8      .....2