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Designing functions: Find a trigonometric function f that

Chapter 5, Problem 27RE

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QUESTION:

Find a trigonometric function f that satisfies each set of properties. Answers are not unique.

a. It has a period of 6 hr with a minimum value of -2 at t = 0 hr and a maximum value of 2 at t = 3 hr.

b. It has a period of 24 hr with a maximum value of 20 at t = 6 hr and a minimum value of 10 at t = 18 hr.

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QUESTION:

Find a trigonometric function f that satisfies each set of properties. Answers are not unique.

a. It has a period of 6 hr with a minimum value of -2 at t = 0 hr and a maximum value of 2 at t = 3 hr.

b. It has a period of 24 hr with a maximum value of 20 at t = 6 hr and a minimum value of 10 at t = 18 hr.

ANSWER:

Step-by-step solution Step 1 a) We need to find a trigonometric function f that has a period of 6 hr with a minimum value of -2 at t = 0 hr and a maximum value of 2 at t = 3 hr.

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