Find the derivative of the function.
?

?

A.
B.
C. ?
D.
E.


Answer: A

Mathematics

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Express the function in terms of x.If f(u) = u5 and u = x3 + 8, then express 5u4 ? 3x2 in terms of x alone.

A. (15x5 + 8)4 B. 15(x5 + 8)4 C. x2(15x3 + 8)4 D. 15x2(x3 + 8)4

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Simplify the expression. ? ? Write the answer without using negative exponents. Assume that all variables are restricted to those numbers for which the expression is defined.

What will be an ideal response?

Mathematics

Solve the problem.A surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 120 feet from a piling that is directly across from a pier on the other side of the lake. From his transit, the angle between the piling and the pier is 40°. What is the distance between the piling and the pier to the nearest foot?

A. 143 ft B. 77 ft C. 101 ft D. 92 ft

Mathematics

Tell whether the parabolic graph of the equation opens up, down, to the left, or to the right. ?   ?

A. opens down B. opens up C. opens to the right D. opens to the left

Mathematics