A volume is described as follows: 1. the base is the region bounded by y = 6 - ² and y = 0 3 2. every cross section parallel to the x-axis is a triangle whose height and base are equal. Find the volume of this object. volume =

Q: How can I calculate the cross-sectional area of ​​a cone with vertex up?

A: Vertical Cross section of right circular cone is circle. Area of the circle is π (radius)2 Let the…

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: Find the volume of the region bounded by z = 156 - y, z = y, y = x², and y = 78 - x². (Use symbolic…

A: The region is bounded by  and .We have to find the volume of the region.

Q: find the parabolas x= y2,y= 255¢ and the ine area Of the region bounded by the

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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: The base of a three-dimensional figure is bound by the line x = -y² - 2y + 3 on the interval [0, 1].…

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Q: Find the area bounded by y = + 1, y = V1– 2x, and y = 0. 4 y=: sqrt(1 - 2x) 3 2 -3 -2 -1 2 3 6. y=:…

A: This question is based on integration .we found the area surrounded by the curve using integration.…

Q: b. Enclosed by the curves y² = 4x + 4 and the line y = 4x – 16.

A: Use double integral

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Find the area of the bounded region bounded by the following equations. a) y = x + 4, x = -4, y-…

A: Given, We need to find the area bonded by the region by the curves. We use the method of integration…