Let R be the region bounded by y = 8 sin , Y = = 8(x – 2)°, and y 5x + 3, and containing the point (2,8). a) Find the area of R b) Find the volume of R rotated about the x-axis c) Find the volume of R...

Let R be the region bounded by y =<br>8 sin<br>, Y =<br>= 8(x – 2)°, and y<br>5x + 3, and containing the<br>point (2,8).<br>a) Find the area of R<br>b) Find the volume of R rotated about the x-axis<br>c) Find the volume of R rotated about the y-axis<br>d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the<br>volume of this shape.<br>

Extracted text: Let R be the region bounded by y = 8 sin , Y = = 8(x – 2)°, and y 5x + 3, and containing the point (2,8). a) Find the area of R b) Find the volume of R rotated about the x-axis c) Find the volume of R rotated about the y-axis d) Suppose R is the base of a shape in which cross-sections perpendicular to the x-axis are squares. Find the volume of this shape.

Jun 03, 2022

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Let R be the region bounded by y = 8 sin , Y = = 8(x – 2)°, and y 5x + 3, and containing the point (2,8). a) Find the area of R b) Find the volume of R rotated about the x-axis c) Find the volume of R...

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