Let E be the region that lies inside the cylinder x2 + y2 = 64 and outside the cylinder (x- 4)2 +y2 =16 and between the planes z = -2 and z = 6. Then, the volume of the solid E is equal to %3D S°S**S* rdrd@dz. 2n -2°0 8cos (@) Select one: O True O False Let E be the solid that lies under the plane z = 3x + y and above the region in the xy-plane enclosed by 2 y ==, x=2, and y = 2x. Then, the volume of the solid E is equal to 8 3 Select one: O True False

Q: Find the area of the shaded region. y-2 C4, 2) O4, 2 A) 2 (B) n-2 D) n

A: The area of the region can be found by the following formula  Area =∫abydx Area =∫ab|f(x)-g(x)|dx…

Q: Use the graphing utility to graph the curves x = 4y² and x = = 4√//y.

A:

Q: Find length of the cardioid r-a03from 0 0 to 0 t %3D

A: To find Length of cardioid r=aθ3  where θ=0 to θ=π

Q: Find the volume of the solid above the triangle with vertices (0, 0), (1, 0) and (1, 2), below the…

A:

Q: Find the area of ​​the plane x + y + z = 6 in cylinder X² + y² = 4

A: According to the given information, it is required to find the area of the plane in the cylinder.

Q: 2. Sketch the graphs of y = x² - 6x + 12, x = 5, x-axis and y-axis. Shade the region bounded by the…

A: The given equation of the curve is: and

Q: 3. Region R is a first quadrant region bounded by f(x) = x?, the y axis and the line y = 4. The…

A: Use volume formula

Q: Find the volume V of the solid obtained by rotating the region enclosed by the curves x = 5y2 and x…

A: first we need to identify the region which is enclosed. Then setting up the integral with right…

Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y =…

A:

Q: Find the area of the surface when y = vx, from (4, 2) to (9, 3) is rotated about the x-axis.

A: Surface area formula for rotating about x-axis is S=∫2πydS where dS=1+dydx2dx

Q: find the volume of the region de limited by S the sm face parametu zed by R(u, u) - sin (u) cos(v)i+…

A:

Q: What is the solid formed when the area bounded by

A: Given: 2x+y=2 The  coordinate axis is revolved about the y axis. To find: What is the solid form.

Q: (b) Find the volume and the surface area of the truncated cone made by the rotation of the solid…

A: Formula of cone: Volume of the cone, V=πr3h3 Surface area, A=πrs+πr2 where, r= radius of the base h=…

Q: Find the valume of the solid generated by revolving the region bounded by y= -2x2 and y= x2 - 3, in…

A: We’ll answer the first part of this question since due to complexity. Please submit the question…

Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3