Find an equation for the tangent to the curve at the given point.h(x) = t3 - 16t + 5, (4, 5)
A. y = 32t + 5
B. y = 37t - 123
C. y = 5
D. y = 32t - 123
Answer: D
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Provide an appropriate response.Graph the equation 
for several values of a in order to get an idea of what these curves look like. (Try both 
and 
Show that the graph will have an inner loop for every a such that 
and find the values of ? that correspond to the inner loop.
What will be an ideal response?
Write the expression as a single logarithm.2log4 (4x - 3) + 5log4(6x + 8)
A. log4 (4x - 3)2(6x + 8)5
B. 10log4 (4x - 3)(6x + 8)
C. log4 [(4x - 3)2 + (6x + 8)5]
D. log4 
Find the indicated term of the sequence.The fifth term of the geometric sequence 4, -20, 100, . . .
A. 625 B. -12,500 C. -2500 D. 2500
Solve.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 12 ft and the vertical clearance must be 8 ft at a point 15 ft from the center. Find an equation for the ellipse.
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1