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Calc 1 2.1

 

<== Calculus 1
Number Question Answer
See the work

1.

 

Let h(x)= 5-3x^3. Compute h'(3).
Answer:________
Use this to find the equation of the tangent line          
to the curve y= 5-3x^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= 75t-16t^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= 1-6x-9x^2
at the point (1, -14).
Answer: y=______

 

y=-14-24(x-1)
The work

Point Cost: 3

4.

 

If f(x) = 5x^2-10x-32, find f'(a).

 

10a-10

 

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