The volume generated when ℝ is rotated about the x-axis.

Q: Can u help me find surface and volume on number 4

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate the y-coordinate of the centroid of the shaded area.

A: Figure shows the cross section of the composite section: Divide the composite section into figure…

Q: Find the volume of the se

A: Given, the curve                   y2(a+x)=x2(a-x)

Q: y = cosx x = y = 0, x = 0

A:

Q: enclosed betw parabola y = x2

A:

Q: A metal casting is done with the limits of x-y = 4 and x = y2 - 4y+ 4, which is revolved around the…

A: Metal casting limits is x-y=4,   x=y2-4y+4 (about x -axis) Now v=π∫x1x2fx2-gx2dx

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: The area enclosed by the ellipse (x²/9) + (y²/4) = 1 is revolved about the line x = 3. What is the…

A: We first sketch the region using a graphing calculator

Q: f(x) = 19 – x², x 20 f(x) = x - 3, x 2 0

A: We will find the volume as following.

Q: Let R be the region in the first quadrant bounded by the curves y = x³ and y = 2x – x² Compute the…

A: Volume about y-axis

Q: 6. Determine the Centroid location of the Area from the y-axis. 3 in. 3 in.- 6 in. 2 in. 4 in.

A:

Q: The volume of a cylinder is V = Th. Part A Solve the formula for h in terms of t. h = Part B A…

A:

Q: b) y = x +1, y = x °+1 (in the first quadrant), about the x-axis. (method of shells)

A:

Q: Determine the y-coordinate of the centroid of the shaded area. x = ky? I---x

A: The given problem is to find the y coordinate of the centroid of the given shaded region. Shaded…

Q: Find volume if area enclosed is rotated about y= -2.

A: To find the volume if the area enclosed by the below curves is rotated about y = -2.

Q: y2=x, y=x. What is the volume of the curve is rotated about the y-axis

A: According to the washer method volume of solid rotated around the y-axis is given by:

Q: A light bulb is designed by revolving the graph of y = the surface area of the bulb and use the…

A:

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