Find the derivative of the function by using the rules of differentiation.
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What will be an ideal response?



Mathematics

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Suppose a wire that is 107 feet long is cut into one piece of length x feet and another of length  feet. The first piece is bent into a square, and the second is bent into a circle. The total area enclosed is given by

 square feet.
A: Make a graph of A versus x. In choosing your viewing window, bear in mind that the formula makes sense only when x is between 0 and 107.B:  What is the area at the left-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.C: What is the area at the right-hand endpoint? What physical situation does that represent? Round your answer to two decimal places, if necessary.D:  How should the wire be used so that the maximum area is enclosed?

What will be an ideal response?

Mathematics

Solve the inequality. Express your answer using interval notation.3x + 8 < 20

A. (4, ?)

B. [4, ?)

C. (-?, 4]

D. (-?, 4)

Mathematics

Solve the equation.-4x + 9 = 9 - 4x

A. 0 B. no solution C. all real numbers D. 9

Mathematics

Solve the equation. = y

A. 2 B. 6 C. No solution D. 6, -4

Mathematics