Consider a solid object with the base in the first quadrant
bounded by y(x) = 1-( x^2/16) , x-axis, and y-axis. If the cross
section that perpendicular to the x-axis is in the form of square,
determine the volume of this object!
(1 point) The region in the first quadrant bounded by y=4x2 ,
2x+y=6, and the y-axis is rotated about the line x=−2. The volume
of the resulting solid is: ____
a) Find the area of the region bounded by the line y = x and the
curve y = 2 - x^2. Include a sketch.
Find the volume of the solid created when rotating the region in
part a) about the line x = 1, in two ways.
A. Find the region bounded by the curves y = (x−3)^2 and y =
12−4x. Show all of your work.
B. Find the equation of the tangent line to the curve 5x^2 −6xy
+ 5y^2 = 4 at the point (1,1) Show all of your work. Thanks