- #1
Brianaa
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As shown in diagram attached:
http://i894.photobucket.com/albums/ac149/bri22xo_photo/calcdiag.jpg
A clock sits on a desk so that its center is 35 inches from the floor. The MINUTE hand is 5 inches long. Let theta (θ) be the angle between the 12 o'clock position and the minute's hand position at any time (t) minutes after the hour.
a) Using a trigonometric function of theta (θ) write an expression for y the distance from the tip of the minute to the floor.
b) Express theta (θ) as a function of time (t).
c) In terms of θ, find an expression for dy/dt the rate at which y changes.
d) How many minutes after the hour is y increasing most rapidly? Use dy/dt to justify answer.
http://i894.photobucket.com/albums/ac149/bri22xo_photo/calcdiag.jpg
A clock sits on a desk so that its center is 35 inches from the floor. The MINUTE hand is 5 inches long. Let theta (θ) be the angle between the 12 o'clock position and the minute's hand position at any time (t) minutes after the hour.
a) Using a trigonometric function of theta (θ) write an expression for y the distance from the tip of the minute to the floor.
b) Express theta (θ) as a function of time (t).
c) In terms of θ, find an expression for dy/dt the rate at which y changes.
d) How many minutes after the hour is y increasing most rapidly? Use dy/dt to justify answer.
