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
The region bounded by y=(1/2)x, y=0, x=2 is rotated around the
x-axis.
A) find the approximation of the volume given by the right
riemann sum with n=1 using the disk method. Sketch the cylinder
that gives approximation of the volume.
B) Fine dthe approximation of the volume by the midpoint riemann
sum with n=2 using disk method. sketch the two cylinders.
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.
Consider a region R bounded by the y-axis, the line
segment y=8-x for x from 0 to 8, and part of the circle
y=-sqrt(64-x^2) for x from 0 to 8. Find the centroid.