Provide an appropriate response.As x moves from left to right though the point c = 3, is the graph of f(x) = x +  rising, or is it falling? Give reasons for your answer.

What will be an ideal response?


The derivative of the function is f'(x) = 1 - , which is positive for all x > 1. By the first derivative test, the function is increasing at c = 3.

Mathematics

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Estimate the product by rounding.

A. 25 B. 30 C. 20 D. 24

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Solve the problem.A rotating beacon is located 14 ft from a wall. If the distance from the beacon to the point on the wall where the beacon is aimed is given by a = 14|sec 2?t|,where t is in seconds, find a when t = 0.31 seconds. Round your answer to the nearest hundredth.

A. -38.03 ft B. 24.91 ft C. 31.47 ft D. 38.03 ft

Mathematics

Solve.x = 2644 + 2530

A. 5137 B. 6174 C. 5174 D. 5074

Mathematics

Solve the problem.Bob can overhaul a boat's diesel inboard engine in 30 hours. His apprentice takes 60 hours to do the same job. How long would it take them working together assuming no gain or loss in efficiency?

A. 90 hr B. 20 hr C. 12 hr D. 8 hr

Mathematics