Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x 1 %3| about the line x = 1.

Q: Find the area bounded by the curves -x + y² = 8, x = -2y and y = -2.

A:

Q: Find the area bounded by the curve y2 = 4x and the line 2x + y = 4.

A: so we have and the other function is

Q: Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis

A: We have to find the area bounded by the curves.

Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

A:

Q: Find the area of the “triangular” region bounded on the left by x + y = 2, on the right by y = x2,…

A: Graph the given equations first.We have to find the area of the shaded region

Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: find the area of the cylinder z=x+y2 that lies below the second-quadrant area bounded by x axis,…

A: Given that: find the area of the cylinder z=x+y2 that lies below the second-quadrant area bounded by…