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MATHEMATICS
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2021 Spring MATH 140 Practice Exam 1 Versions A and B

Enter the appropriate value to answer the question or solve the problem.

1. Determine the limit:



2. Evaluate the limit:


3. If


4. s(t) is the position of a body moving along a coordinate line; s(t) is measured in feet and t in seconds, where t ≥ 0.
Determine the position, velocity, and speed of the body at the indicated time.

; t=1


Enter the appropriate value to answer the question or solve the problem.
5. Differentiate:



6. Find an equation of the tangent line to the curve:


7. Differentiate:

8. Determine an equation of the tangent line to the curve at the point .


9. Differentiate: f (x) = x sin6 (x)

Enter the appropriate value to answer the question or solve the problem.

10. Determine :


11. Calculate y'.




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