Find the volume of the solid of revolution created when the area bounded by f(x) = 2e-² (shown in the diagram), the x-axis and the lines x = 0 and x= rotated around the y-axis. = 1 is 2 1 د 4x 1

Q: Determine the volume of the rotating object that occurs if the area of ​​the curve y1 = - x2 + 4 and…

A:

Q: y-1/10(e^(5x)+e^(-5x)), for x:[-4,4], about the x axis. Find surface area

A: Let's find surface area.

Q: Calculate ∫∫(x^2 + y^2)^3 dA. Where D is the region in the first quadrant                  D…

A: Concept Used:- In polar coordinates x=r cosθy=r sinθ ⇒x2+y2=r2 Consider the region D bounded by y=x,…

Q: Find the surface area of the portion of the half ball with radius which cuts off by the cylinder x2…

A: Concept: The surface area of the half ball is given by: A=∬1+∂z∂y2+∂z∂x2dA Where ∂z∂y, ∂z∂x is the…

Q: y = x^3/2 + 1/6x of the curve [1/√2, 1] produced by rotating the graph on the range around the…

A: Suppose that y(x) is smooth non negative function on the interval.

Q: find the lateral (side) surface area of the cone generated by revolving the line segment y=7/3x, 0…

A: What is Solid of Revolution: A solid can be formed by revolving a region in two dimensional…

Q: Find the area between the curves Area = x = y² - 2y +36 x = -y² - 20y

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Q: Cak16 area Find the sucface f revolution for enx 23 for Isx<2 about the y-axis a be

A: To find the surface area of revolution of the below curve from x = 1 to x = 2 about the y-axis.…

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.