MTH 271 Test 1 – show your work

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MTH 271 Test 1 – show your work

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1. Answer the following questions if you can find the limit, or state that the limit does not exist.

a. image2.png

b. image4.png

c. image6.png what is image8.png

d. image10.png image12.png

e. image14.png

f. image16.png

g. image18.png

h. image20.png

2. Answer the following questions:

a. image22.png

b. image24.png

c. image26.png

d. image28.png

image29.png

3. Answer the following questions – find the derivative of the following functions:

a. image31.png

b. image33.png

c. image35.png

d. image37.png

e. image39.png

4. Find the equation of the tangent line and use meta-calculator to draw the graph of f(x) and the tangent line

a. image41.png

b. image43.png

c. image45.png

5. An amusement park designs its roller-coaster ride based on the functionimage47.png, where t is the time of the ride in seconds. The designer wants to achieve the speed image49.png andimage51.png, what are the design parameters a and b should be?