: 8. Consider the region R bounded by the graphs of y = f(x) > 0, x= a>0, x=b > a, and y = 0. If the volume of the solid formed by revolving R about the x-axis is 67, and the volume of the solid formed by revolving R around the line y = -2 is 107, find the area of R.

Q: 2. Graph and shade the region enclosed by the curves y= (x – 3) and y = x . Find the volume of the…

A:

Q: Consider the region R bounded by the graphs of y = ƒ(x) > 0, x = a > 0, x = b > a, and y =…

A: Given : A region R bounded by graph y=fx and x=a>0 , x=b>a  , y=0 if the volume of the solid…

Q: B) Find the area of the region enclosed by the Parabola y = 2 – x2 and the line y + x = 0 ?

A: The region is bounded by y=2-x2 and y+x=0

Q: Find the area of the region enclosed by the line y=4x and the curve y= x+ 3x.

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Q: 3. Find the area of the region bounded by the curve y = Vx – 1, the y - axis and the lines y=1 and…

A: Simplify the equation y=x-1 to obtain the expression of x. y=x-1y2=x-1x=y2+1 Draw the graphs…