A man 6 feet tall walks at a rate of 11 feet per second away from a light that is 15 feet above the ground (see the figure below). When he is 13 feet from the base of the light, at what rate is the length of his shadow changing?

?

 

?

 ft,  ft

?



A. ft/sec
B.  ft/sec
C.  ft/sec
D.  ft/sec
E.  ft/sec


Answer: C

Mathematics

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Determine the function f(x) that has been graphed. The function will be of the form f(x) a + k or f(x) = a(x - h)3 + k. Assume a = 1 or a = -1.

A. f(x) =  + 2
B. f(x) =  - 2
C. f(x) =  + 2
D. f(x) =  - 2

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (-8x + 3y)i + (7x - 10y)j; C is the region bounded above by y = -3x2 + 150 and below by  in the first quadrant

A. - 2450 B. 4410 C. -2980 D. 2000

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Graph the function. Show at least one period.y = -4 sin 

A.

B.

C.

D.

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The list shows the scores for a basketball team. Use the list to complete the frequency distribution table and construct a histogram.20?21?15?23?2831?32?30?19?3234?42?29?23?20  

What will be an ideal response?

Mathematics