If the infinite curve y = e−3x, x ≥ 0, is rotated about the
x-axis, find...
If the infinite curve y = e−3x, x ≥ 0, is rotated about the
x-axis, find the area of the resulting surface. (answer needs to be
in fraction form if possible)
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.
Find the area between the curve and the x axis from [-1,5] .
f(x)=5x2-3x+4 .Use the Fundamental Theorem of
Calculus.
Find the Area using Right Hand Riemann Sums with n=10
Explain the difference between the two methods. Which of the two
methods is more accurate? How can you make the less accurate way
more accurate without changing the process?