Sketch the region enclosed by the given curves. x = 3y2, x = 4 + 2y2 y y 12 10 8 6 6 8 10 12 2 1 2 y y 12 10 8 6 6 8 10 12 -1 1 2 Find its area.

Q: e area of the blue region. It is the area under the curve. y 10 8 6 4 2 y = 3x+1 y = 6-x X 1 2 3 4 5…

A: The graph of the function is given.The aim is to find the area of the blue region.

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 volume V of the solid obtained by rotating the region bounded by the given curves about the…

A: The given curve is- y=3e-x We have to find the volume (V) of the solid obtained by rotating the…

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: Set up an integral for the volume obtained when the region is rotated about the line x = -3. DO NOT…

A: To set up the integral to calculate the volume of the solid obtained by rotating the below region…