1) If , then __16__

Use this to find the equation of the tangent line to the parabola at the point . The equation of this tangent line can be written in the form where __16__

and where _____

but i think b = 27 but apparently its not.

2)For what values of x does the graph of have a horizontal tangent? Enter the x values in order, smallest first, to 4 places of accuracy: ___ ____

I don't really know how to solve this one.

3)

Given that

Calculate

4)A particle moves along a straight line and its position at time is given by where s is measured in feet and t in seconds.

Find the velocity (in ft/sec) of the particle at time : __90__

The particle stops moving (i.e. is in a rest) twice, once when and again when where . is ___

and is ____

What is the position of the particle at time ? __3488___

Finally, what is the TOTAL distance the particle travels between time and time ? _____

5 )If a ball is thrown vertically upward from the roof of foot building with a velocity of ft/sec, then what is the maximum height the ball reaches? ________

What is the velocity of the ball when it hits the ground? ______

Any help is greatly appreciated.