Thread: Review Sheet

Hello!
I am in dire need of help! I just recieved this Review Sheet that I completely do not understand.
I believe some of the stuff is from last year, Pre-Calc. and I'm completely blank as far as that goes. I'm currently a high school students taking the class for AP-credit and for some reason I can't remember anything from class and/or review books.

Please if you can, help me out by explaining what and how I need to do these problems.
I have another review sheet but I believe if I understand this one I will be able to do the other one on my own.

Thank you!

your 1st question involves an understanding of finding critical points of a function by finding its derivative. your second question simply involves the following points:acceleration is given by the derivative of velocity and the velocity is given by the derivative of the postion.

1. (a) use the facts that and to solve for and .

(b) straight forward problem, once you find and .

2 (a) what tells you the direction that a particle moves ?

(b) acceleration is the derivative of velocity

(c) .

you'll have to use substitution to find the antiderivative and the given initial condition to find the constant of integration.

(d) total distance

Originally Posted by skeeter

1. (a) use the facts that and to solve for and .

(b) straight forward problem, once you find and .

2 (a) what tells you the direction that a particle moves ?

(b) acceleration is the derivative of velocity

(c) .

you'll have to use substitution to find the antiderivative and the given initial condition to find the constant of integration.

(d) total distance

That the problem I do not understand how to use and to find critical points.

for 2 (a) It's veolcity. When the function is bellow the x-axis then it is moving to the left but when it's above then it's moving to the right. That I know.

Like I'm it's a bit fuzzy because we had this from way back in the year and now he, the teacher, expects us to remember everything.

Originally Posted by MathmaticAvatar

That the problem I do not understand how to use and to find critical points.

find f'(x) , sub in -1 for x and set = 0 ... you'll get an equation in terms of a and b.

find f''(x) , sub in -2 for x and set = 0 ... you'll get an equation that you can solve for a

once you get a , go back and find b.

find f''(x), sub in -2 for

for 2 (a) It's veolcity. When the function is bellow the x-axis then it is moving to the left but when it's above then it's moving to the right. That I know.

ok ... what is the sign of v(1.5) ? how will that answer the question ?

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