A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express...

A solid is formed by attaching a hemisphere to each end of a cylinder. If the total volume is to be 120cm3, find the radius (in cm) of the cylinder that produces the minimum surface area. Express...

If the price of each ticket to a concert is $16, a total of 4000 tickets will be sold. For each $1 increase in price, ticket sales will decrease by 100. What should the ticket price be set at in order...

While you were out cross country skiing, you make a perfectly shaped spherical snowball. Unfortunately the temperature increases and the volume of your snowball decreases at a rate of -1cm/min. At...

The height h of a right triangle is increasing at a rate of 1 unit/s. Find the rate at which theta (in rad/s) is changing when h =8. HelP!?

How I do this?

Evaluate. Assume u>0 when ln u appears. ∫(x^3+1)^6 3x^2dx

The maximum of two numbers x, y it is shown by max (x; y). looks what max (x; y) = (x+y+|x-y|) / 2. a) calculate max (-3; 4). b) Obtain the...

For which values a, b, c, d the f(x) =(ax+b)/(cx+d) satisfy f(f(x))=x for all x.

Esteem the function f(x)=1/(x³-1) for near values of 1 and then calculate them lim of 1/(x³-1) when x->1- and lim of 1/(x³-1) when x->1+.

f(x)= √( 1-√( 1-x²)) and f(x)= √( 1- x²)+√( x²-1)

15 / x[In(x)]^4 dx Ans: -5 / [In(x)]^3 + C

Can someone answer me this question?

Determine where the curve y = x3+4x2-2x+1 is concave up and concave down. Help!?

Use the second derivative test to show that (3,27) is a maximum point on the graph of f(x) = x3(4-x). Help!?

Using the second derivative, determine where f(x) = x2(1-x) is concave upward? Help!?

Determine the extreme values of the function f(x) = x2-8x+9, where -1≤x≤5. What is the absolute minimum and the absolute maximum?

Hello, I am having trouble with the following problem: If A and B are both acute angles and sin(A)=6/13 and cos(B)=48/49 find the value of cos9-A)-sin(-B). Write the answer as a simplified...

The height h of an equilateral triangle is increasing at a rate of 3cm/min. How fast is the area changing when h is 5 cm?

Im stuck in this problem form my calculus hw

what combinations of vertical, horizontal, and oblique asymptotes are not possible for a rational function?