Use calculus to find the dimensions of the box that give the maximum possible volume. Also calculate the maximum volume. Indi- cate your final answers by either writing them in the provided blanks or clearly labeling them so it’s clear which are which. x= y= Maximum Volume:
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Suppose that 24 square feet of cardboard are available to build a rectan- gular box with a square front that is missing its top panel (see diagram to the right). Use calculus to find the dimensions of the box that give the maximum possible volume. Also calculate the maximum volume. Indi- cate your final answers by either writing them in the provided blanks or clearly labeling them so it’s clear which are which.
x=
y=
Maximum Volume:
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
