Search & Filtering
For the following exercises, draw the given optimization problem and solve.
1) Find the volume of the largest right circular cylinder that fits in a sphere of radius 1.
Find the volume in the first octant bounded by x+y+z=9, and the inside cylinder 3y=27-x^3
Show whether the following functions are uniformly continuous on the given domain.
1. F(x)=x^3 on [-1,1]
2. F(x)= 2x/2x-1 on [1, infinity]
3. F(x)= sinx/x on (0,1)
4. F(x)= 1/x on (0,1)
Find the area bounded by the given curves; y= 1/(1+x^2), x=1,x=-1. sketch the curve indicating the area bounded.
y=sin(2x)/x, x=Pi, dx=.25
find the differentiate
If y=sin(2x)/x and x =Pi and ex=.25 find the differentaite
Find the dimensions of the right circular cone of the greatest lateral area that can be inscribed in a sphere of radius α
analyze and trace the curve of f(x) = (x+1)^2/3 (x-3)^2
if f(x) = { x/tan2x, x>0 , x+2, x≥ 0
find the type of discontinuity and state whether it is continuous
What are the dimensions of a rectangular field of area A, that requires the least
amount of fencing?
