Find the derivatives of all orders of the function.y = 
x3 + 
x2 + 4x - 15
What will be an ideal response?
y ' = 4x2 + 5x + 4, y " = 8x + 5, y ''' = 8, y(n) = 0 for n ? 4
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Evaluate the integral.
A. 
?(15? - 8)
B. 
?(15? - 8)
C. 
?(15? - 16)
D. 
?(15? - 16)
Solve the problem.A child on a swing initially swings through an arc length of 12 meters. The child stops pushing and sits patiently waiting for the swing to stop moving. If friction slows the swing so the length of each arc is 80% of the length of the previous arc, how far will the child have traveled before the swing stops?
A. The child will travel an infinite distance. B. 25 m C. 60 m D. 24 m
Find an equation of variation for the given situation. s varies directly as the square of t, and s = 147 when t = 7.
A. s = 21t2
B. s = 
t2
C. s = 3t2
D. s = 
t2
Solve the inequality. Write the solution set in interval notation and graph it.a - 2 < 4
A. (6, ?)
B. (-?, 6]
C. (-?, 6)
D. [6, ?)