Write the fractions that represent the shaded and unshaded portions of the given figure.
A. 
, 
B. 
, 
C. 
, 
D. 
, 
Answer: D
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An object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, write an equation that relates the displacement d of the object from its rest position after t seconds. Also assume that the positive direction of the motion is up.a = 20;
T = 4? seconds
A. d = -20 cos 
B. d = -20 sin 
C. d = -4 cos 
D. d = -20 cos 
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = x2, g(x) = x2 + 1
A. g shifts the graph of f vertically down 1 unit
B. g shifts the graph of f vertically down 1 unit
C. g shifts the graph of f vertically up 1 unit
D. g shifts the graph of f vertically up 1 unit
Solve the problem.A rumor is spread at an elementary school with 1200 students according to the model 
where N is the number of students who have heard the rumor and d is the number of days that have elapsed since the rumor began. How many students will have heard the rumor after 5 days?
Fill in the blank(s) with the appropriate word(s).
Solve the problem.f(x) = 
is defined on the interval 
. In (a) and (b), approximate the area under f (to three decimal places) as follows:(a)Partition 
into four subintervals of equal length and choose u as the left endpoint of each subinterval.(b)Partition 
into four subintervals of equal length and choose u as the right endpoint of
each subinterval.(c)Use a graphing utility to approximate the actual area A. What will be an ideal response?