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MA102 Final Exam - Single-Variable Calculus II
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MCQs on Single-Variable Calculus.

MA102 Final Exam - Single-Variable Calculus II
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25 Questions

1. What is the seventh term of the sequence given by
?
2. Find the equation of the tangent line to the curve described by
,
at the point corresponding to
.
3. If the acceleration of a particle with initial velocity
is given by
, then how far is it from its initial position at time
?
4. Which of the following could be a formula for a sequence whose first four terms are 0.7, .91, .973, and .9919?
5. What integral would you use to find the solid generated by rotating the region bounded by
and
around the line
?
6. Consider the curve described by
,
. At the point corresponding to t = 1, which of the following best describes the curve?
7. Evaluate
\int \frac{x^3}{\sqrt{x^2 +9}dx.
8. Evaluate
.
9. Find the Cartesian equation for the curve described by the polar equation
.
10. Evaluate the following integral:
.
11. What is the volume of the solid generated by rotating the positive region bounded by
and
around the x-axis?
12. What integral could you use to calculate the area of the surface of revolution generated by rotating the curve
,
around the x-axis?
13. Find the equation of the tangent line to the curve described by
, at the point corresponding to
.
14. Evaluate
.
15. Find the limit of the sequence given by
.
16. A bottle of water at 65 degrees Fahrenheit is put in a refrigerator at 35 degrees Fahrenheit. After an hour, the bottle has cooled to 50 degrees Fahrenheit. What will the temperature of the bottle be after another hour?
17. Calculate
18. Calculate
.
19. Find the indefinite integral:
.
20. Calculate
.
21. Find the equation of the tangent line to the curve described by
, at the point corresponding to
.
22. Consider the curve described by
,
. At the point corresponding to t = 1, which of the following best describes the curve?
23. Find
.
24. Find the endpoints of the interval of convergence for the following power series:
.
25. Find the endpoints of the interval of convergence of the following power series:
.

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