Verify the identity.
= - sin(2?)
What will be an ideal response?
= 
= - sin (2?)
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Solve the problem.Ken is 6 feet tall and is walking away from a streetlight. The streetlight has its light bulb 14 feet above the ground, and Ken is walking at the rate of 1.9 feet per second. Find a function, d(t), which gives the distance Ken is from the streetlight in terms of time. Find a function, 
, which gives the length of Ken's shadow in terms of d. Then find 
.
A. (S ? d)(t) = 1.05t B. (S ? d)(t) = 1.43t C. (S ? d)(t) = 1.81t D. (S ? d)(t) = 3.21t
Solve the problem.The sales of a mature product (one which has passed its peak) will decline by the function S(t)= Soe-at, where t is time in years. Find the sales after 18 years if 
and 
(Round to the nearest whole number.)
A. 67,355 B. 2,059,009 C. 1822 D. 911
Fill in each blank with the appropriate response.The graph of y = -6(x - 2)2 + 8 can be obtained from the graph of y = x2 by shifting horizontally 
units to the 
, vertically stretching by a factor of 
, reflecting across the 
-axis, and shifting vertically 
-10.0px;" /> units in the 
direction.
A. 2; right; 8; y; 6; downward
B. 2; right; 8; x; 6; upward
C. 2; right; 6; x; 8; upward
D. 2; left; 6; x; 8; upward
The 2× 2 Leslie matrix for a population of birds has eigenvalues r = 1.2 and r = 1.4 . Find the long-term growth rate for the population.
What will be an ideal response?