From a thin piece of cardboard 48 in. by 48 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?


32 in.by 32 in. by 8 in.; 8192 in3

Mathematics

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Integrate the function., x > 7

A.  + C
B. -  + C
C.  + C
D. -  + C

Mathematics

Prove the identity.sin(x + y) cos(x - y)  = sin x cos x + cos y sin y 

What will be an ideal response?

Mathematics

Perform the indicated operations. Write the result in the form a + bj.6j(2 - 3j)

A. 12j + 18j2 B. 12j - 18 C. 12j - 18j2 D. 18 + 12j

Mathematics

Write a general term an for the sequence. Assume that n begins with 1.1 ? 6, 2 ? 7, 3 ? 8, 4 ? 9, 5 ? 10, . . .

A. an = n(n + 5) B. an = n(n - 5) C. an = n + 5n D. an = n(n + 6)

Mathematics