Instruction: Course Name: Calculus with Analytical Geometry-1 Course Code: MATH 132 Do not use Artificial Intelligent Apps 1. Solution must be hand-written 2. Step by step clear explanation 7. Find the volume of the solid for the region that is generated by revolving about the x-axis and the regions bounded by the curve and line y = 4−x² and y=2-x.

V = y = x + 1, y = 0, x=0, x= 5; Sketch the region. y 7 6 5

please donot provide solution in image format thank you!

Consider the solid whose base is the region bounded by the x-axis, y = x, and y=-4x + 5. Find the volume of the solid if the slices perpendicular to the y-axis are rectangles with height sin(y). Give the exact volume below in the form A + B sin(C) where A, B and C are constants to be determined. Click on the symbol for the equation editor to enter in math mode. b a sin (a) ∞ a

please find the surface area please also write the answer in fraction form. no decimals please.

Please help me evaluate this one. Thanks.

6x + y2 = 16,  x = y Find the area of the region