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.
solve the initial values:
if Y(3)-4Y"+20Y'=51e^3x
Y"(0)=41, Y'(0)= 11. Y(0)= 7 > solution is Y(x)= e^3x+2 e^2x
sin(4x)+6
so, what is the solution for:
Y(3)-8Y"+17Y'=12e^3x
Y"(0)=26, Y'(0)= 7. Y(0)= 6
Y(x)=???
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?