Sure, I don't mind answering some questions if they're as brief as the ones in the OP.
Whelp I dunno how much work is involved in these, but if you wanted to answer these problems then at the very least he could use them to compare his own work too. (aka he's probably just going to want to copy it >_<'' )
2) The position of a particle is given the equation s(t) = (1/3)t^3 - 8t^2 + 28t where t is measured in seconds and s in meters.
Use Calculus to describe the details of the particle's motion for 0 <= t <= 5
A) Find the velocity and acceleration functions.
B) Graphs all three functions: Position, velocity, and acceleration.
C) When is the particle speeding up? When is it slowing down? Give a reason for your answers.
3)
Let g(x) = [integral symbol with x at the top and -1 at the bottom] f(t) dt
A) graph the function f(x) =
(1/4)x + 2 FOR -2 <= x < 4
8 FOR x = 4
2x-5 FOR 4 < x <=6
-x+13 FOR 6 < x <= 9
B) Computer G (3) and G' (-12)
C) Determine the instantaneous rate of change of g, with respect to x, at x=2
D) What is the absolute minimum value of g on the interval [-2,4]. Justify your answer.
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