Solve the problem.A weight attached to a spring is pulled down 3 inches below the equilibrium position. Assuming that the frequency of the system is 
cycles per second, determine a trigonometric model that gives the position of the weight at time t seconds.
A. y = 3? cos 8t
B. y = -3 cos 16t
C. y = -3 cos 
t
D. y = 3 cos 16t
Answer: B
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Assume that the sequence converges and find its limit.a1 = 6, an + 1 = 
A. -6 B. 1 C. 36 D. 6
Provide an appropriate response.Solve the following system of equations using the addition method: 3x - 2y = 6 x + 3y = 2
Fill in the blank(s) with the appropriate word(s).
Find the foci of the ellipse whose equation is given.
+ 
= 1
A. foci at (1 + 2
, 3) and (1 - 2
, 3)
B. foci at (3 + 2
, 3) and (3 - 2
, 3)
C. foci at (3 + 2
, 1) and (3 - 2
, 1)
D. foci at (- 2
, 1) and (2
, 1)
Solve the problem or provide an explanation.Graph y = x2 - 5x - 6 and f(x) = 
together on your graphing calculator. State the domain of f(x), and explain the connection between the domain of f(x) and the graph of 
A. The domain of f(x) is [-1, 6). The domain of f(x) is the set of all x-values for which the graph of 
is on or below the x-axis.
B. The domain of f(x) is (-?, ?). The domain of f(x) is the same as the domain of 
C. The domain of 
The domain of f(x) is the set of all x-values for which the graph of 
is on or above the x-axis.
D. The domain of f(x) is ?. There is no connection between the domain of f(x) and the graph of y = x2 - 5x - 6.