7. b) Simply base area times height.
c) Base area plus 4 times the side area.
d) Isolate h taking care of priority of operations.
e) Replace in V.
Solve for x.
You should be able to do the rest.
These problems involve advanced Algebra II problems. I am 100% clueless on all four of these problems... I am in Algebra II honors, top of the class.
I would VERY much appreciate it, if you uploaded your work via a scanner or w/e, so I can view it. If you can't do that, I need you to explain your answers.
Problems:
7. If 1200 cm^2 of material is available to make a box with a square base and an open top. Find the largest possible volume of the box. Use the following steps:
a.) Draw a picture
b) Find the volume in terms of x and h
c) Find the surface area in terms of x and h. Then solve for h in terms of x.
d) Find the volume in terms of x
e) To find max, solve the following equation derived from calculus: 1200-3x^2=0
f) Find h
g) Find V
Here is the other three problems in image form:
10 : Put divide by to get Then multiply by to get
Square both sides
Put and use the formula to solve quadratic equations.
Exercice #11 is pretty much like #7. You should be able to work it out once you've understood #7.
12 : g o f = g(f(x)) and f o g = f(g(x)) Use either f(x) or g(x) as variable.
e.g. Simplify by multiplying by .
See if this helps you with #7. It is a Word document. Good luck! Molly
square open top box.doc