Given f '(x) = (x − 4)(4 − 2x), find the x-coordinate for the relative maximum on the graph of f(x).

a) 12 m/sec; 22 m/sec^2
b) 22 m/sec; 18 m/sec^2
c) 22 m/sec; 6 m/sec^2
d) 14 m/sec; 3 m/sec^2

4 answers

I think you have mixed two problems.
Sorry, you're right. The question is: Given the position function s(t), s(t) = t3 − 5t, where s is measured in meters and t is in seconds, find the velocity and acceleration of the particle at t = 3 seconds.

a) 12 m/sec; 22 m/sec^2
b) 22 m/sec; 18 m/sec^2
c) 22 m/sec; 6 m/sec^2
d) 14 m/sec; 3 m/sec^2
it'd be nice if you showed some of your work. These are not hard problems.
s = t^3-5t
v = 3t^2-5
a = 6t
Now just plug in t=3
will be answer b. Sorry I just wanted to confirm. Thank you so muchhhh
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