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maximum altitude attained by the rocket

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1. If f is continuous at x= a and g is differentiable at x=a then:
Lim x->a f(x)g(x) = f(a)g(a)
(if true explain why true, if false, explain and give an example of why it is false)

2. Let f(x) = 2/3x^3 + x^2 â?" 12x + . Find the values of x for which:
A f prime (x) = -12
B f prime(x) =o
C f prime (x) = 12

3. The altitude in meters of a rocket t sec into flight is given by
S=f(t)=s(t)= -0.6t^3 + 34.2t^2 + 144t + 0.3 (t greater than equal > 0)
A. Find an expression v for the rockets velocity at any time t.
B. Computer rockets velocity at t= 0, 20, 40, 60
C. Find the maximum altitude attained by the rocket (using results from B)

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Solution Summary

Find an expression v for the rockets velocity at any time t.

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