← Find the center of mass of a thin plate of constant density covering the given region. The region bounded by y=8-x and the axes OA. x=32, y=32 OB. x=8.y=8 OC. X= OD. x= 256 256 3

Q: Sketch the region enclosed by the given curves. y = V5x, y = y 4 2 -30 -20 -10 10 20 30 -4 -30 -20…

A: The given curves are y=fx=5x3y=g(x)=15x

Q: Find the surface area in r(r,0)=(rcos)i + (rsin0) j+0k, 0≤0≤2ñ, 0≤r≤1. the accompanying (1, 0, 2)…

A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the center of mass of a thin plate of constant density 6 covering the given region. The region…

A:

Q: Find the Centroid of the shaded area y -30– 30 15

A: Lets draw co-ordinates in the figure as such: Also lets guess mass-density per unit area is unit.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: givenx=20-5y2x=5y2-20intersection point of these curves is20-5y2=5y2-20y=±2at this…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region enclosed by y = 4x and y 4x2. Find the area of the region. %3D

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Q: Consider the area shown in (Figure 1). Suppose that a=2.1 in., b= 4.2 in., c = 1.4 in. Figure 1 of 1

A: From the figure we get:

Q: Find the volume

A: We have to find the volume from the given region