Number 
Question 
Answer 
See the work 
1.

Let h(x)= 53x^3. Compute h'(3). Answer:________ Use this to find the equation of the tangent line to the curve y= 53x^3 at the point (3,76). m=_____ b=______

h'(3)= 81
m= 81
b= 167

The work
Point Cost: 3 
2.

If a ball is thrown straight up into the air with an initial velocity of 75 ft/s, it height in feet after t second is given by y= 75t16t^2. Find the average velocity for the time period begining when t = 1 and lasting (i) 0.1 seconds______ (ii) 0.01 seconds_____ (iii) 0.001 seconds____ Finally based on the above results, guess what the instantaneous velocity of the ball is when t = 1.

(i) 41.4 (ii) 42.84 (iii) 42.984 43 
The work
Point Cost: 3 
3.

Find an equation of the line tangent to the graph of y= 16x9x^2 at the point (1, 14). Answer: y=______

y=1424(x1) 
The work
Point Cost: 3 
4.

If f(x) = 5x^210x32, find f'(a).

10a10

The work
Point Cost: 3 
5.

Let
determine wether or not ƒ'(0) exists

Yes it does 
The work
Point Cost: 3 
6.

Let
determine wether or not ƒ'(0) exists

yes 
The work
Point Cost: 3 
7.

The limit
represents the derivative of some function ƒ(x) at some number a. Find ƒ and a. ƒ(x)=______ a=________

ƒ(x)= cos(x)
a= 5π

The work
Point Cost: 3 