From a thin piece of cardboard 84 in. by 84 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume?

What will be an ideal response?


48 in. by 48 in. by 12 in.; 27,648 in.3

Mathematics

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Evaluate the integral.

A. x + 11 ln + C
B. x + 9 ln + C
C. (x2/2 + 10x) ln + C
D. -  + C

Mathematics

Simplify the expression. Use positive exponents. Assume variables represent nonnegative numbers.

A. 3 B. 3x C. 3x4  D. 3x8 

Mathematics

Estimate the difference by rounding the number to the nearest ten.

A. 737 B. 740 C. 730 D. 700

Mathematics

Simplify the expression. Assume all variables represent positive real numbers.

A. 245x 
B. 7
C. 5x2
D. 7x

Mathematics