Show that the function  has no relative extrema on .

What will be an ideal response?


The derivation of the function  is . At every point the derivative exists and does not equal to 0. So by definition the function has no relative extremum on this interval.

Mathematics

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Solve the problem.If a boat uses 24 gallons of gas to go 71 miles, how many miles can the boat travel on 96 gallons of gas?

A. 568 mi B. 284 mi C. 17 mi D. 304 mi

Mathematics

Solve the problem.A satellite is orbiting the earth such that its displacement D north of the equator (or south if D < 0) is given by  Sketch two cycles of D as a function of t. Use , and .

A.

B.

C.

D.

Mathematics

Evaluate the polynomial for the given value.0.4x2 - 4.8x + 2.9 when x = -1.6

A. 1.821 B. 11.604 C. -11.604 D. 8.733

Mathematics

Simplify the expression.

A.
B.
C. 7x - 6
D. 7x2 - 40

Mathematics