1. ## 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!

2. 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.

3. 1. (a) use the facts that $\displaystyle f'(-1) = 0$ and $\displaystyle f''(-2) = 0$ to solve for $\displaystyle a$ and $\displaystyle b$.

(b) straight forward problem, once you find $\displaystyle a$ and $\displaystyle b$.

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

(b) acceleration is the derivative of velocity

(c) $\displaystyle y(t) = \int v(t) \, dt$.

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

(d) total distance $\displaystyle = \int_0^2 |v(t)| \, dt$

4. Originally Posted by skeeter
1. (a) use the facts that $\displaystyle f'(-1) = 0$ and $\displaystyle f''(-2) = 0$ to solve for $\displaystyle a$ and $\displaystyle b$.

(b) straight forward problem, once you find $\displaystyle a$ and $\displaystyle b$.

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

(b) acceleration is the derivative of velocity

(c) $\displaystyle y(t) = \int v(t) \, dt$.

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

(d) total distance $\displaystyle = \int_0^2 |v(t)| \, dt$

That the problem I do not understand how to use $\displaystyle f'(-1) = 0$ and $\displaystyle f''(-2) = 0$ 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.

5. Originally Posted by MathmaticAvatar
That the problem I do not understand how to use $\displaystyle f'(-1) = 0$ and $\displaystyle f''(-2) = 0$ 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 ?
...