Pre-Calculus help

Discussion in 'Undergraduate Math' started by jd1m5, Mar 25, 2008.

1. jd1m5Guest

Generate Functions:

Write the area A of the rectangle as as function of the length of the rectangle.
1. A wire 10 meters long is to be cut into two pieces. One piece is bent into a square and the other into a circle. Write the total area as a function of the length of the piece that is bent into a square.

2.Inscribe a right circular cylinder of height h and radius r in a sphere of radius R. Write the volume V of the cylinder as a function of h.

3.Water is poured into a container in the shape of a right circular cone with radius 4 feet and height 16 feet. Write the volume V of the water in the cone as a function of the height h of the water.

4. Show that the largest (with maximum area) rectangle with a fixed perimeter 100 feet must be a square of side 25 feet.

jd1m5, Mar 25, 2008

2. William ElliotGuest

(L/4)^2 + pi((10 m - L)/2pi)^2, L measured in meters
A = L(100 ft - 2L)/2, L measured in ft

Solve dA(L)/dL = 0

William Elliot, Mar 25, 2008

3. The Qurqirish DragonGuest

Use the pythagorean theorem on R,r, and h/2 to get r in terms of R and
h. Substitute into the volume formula for a cylinder.
Use similar triangles to get a relationship between h and the radius
at that height. Substitute into the volume formula for a cone.

The Qurqirish Dragon, Mar 25, 2008
4. mathedmanGuest

THis sure looks as if you want someone to do your homework for you!
If that is true, and we did, then you'd be a slimy, low-life cheat.
People despise cheats. They are scum.

mathedman, Mar 25, 2008