A small frog hops onto the Laxey wheel, a waterwheel in

Chapter , Problem 7.4.32

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QUESTION:

A small frog hops onto the Laxey wheel, a waterwheel in the Isle of Man, the largest in the world. Clinging to the wheel, the frog rides from its base, at a height of = 0 ft, to its top at a height of 72.5 ft, then back down. It rides the wheel once more before hopping off. Find a formula for = (), the frogs height above ground as a function of , the angle (in degrees), 90 630, and sketch its graph.

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QUESTION:

A small frog hops onto the Laxey wheel, a waterwheel in the Isle of Man, the largest in the world. Clinging to the wheel, the frog rides from its base, at a height of = 0 ft, to its top at a height of 72.5 ft, then back down. It rides the wheel once more before hopping off. Find a formula for = (), the frogs height above ground as a function of , the angle (in degrees), 90 630, and sketch its graph.

ANSWER:

Step 1 of 3

Consider that the maximum value of the frog at  degree is 72.5ft.

The minimum value of the frog at  degree is 0ft.

For, midline apply mid-point formula

                                                           

So, the amplitude is written as

                                                         

The graph is sign function, because for sign maximum value occurred at  where n=1,5,9…. With positive amplitude.

Hence, the amplitude is .

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