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348 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
5.8 Hyperbolic Functions
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____ 1. Evaluate and in that order.
a.
b.
c.
d.
e.
____ 2. Evaluate the function 3sinh 2. If the value is not a rational number, give the answer to
three-decimal-place accuracy.
a. 30.098
b. 7.254
c. 21.761
d. 10.881
e. 7.524
____ 3. Evaluate and in that order.
a.
b.
c.
d.
e.
5.8 Hyperbolic Functions 349
____ 4. Evaluate and in that order.
a.
b.
c.
d.
e.
____ 5. Evaluate . Round your answer to three decimal places.
a. 20.794
b. 13.693
c. 11.075
d. 12.484
e. 8.254
____ 6. Find the derivative of the function .
a.
b.
c.
d.
e.
____ 7. Find the derivative of the function .
a.
b.
c.
d.
e.
350 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
____ 8. Find the derivative of the function .
a.
b.
c.
d.
e.
____ 9. Find the derivative of the function .
a.
b.
c.
d.
e.
____ 10. Find an equation of the tangent line to the graph of the function at the
point .
a.
b.
c.
d.
e.
____ 11. Find the indefinite integral.
a.
b.
c.
d.
e.
5.8 Hyperbolic Functions 351
____ 12. Find the indefinite integral.
a.
b.
c.
d.
e.
____ 13. Evaluate the integral .
a.
b.
c.
d.
e.
____ 14. Evaluate the integral .
a.
b.
352 Chapter 5: Logarithmic, Exponential, and Other Transcendental Functions
c.
d.
e.
____ 15. Find the derivative of the function .
a.
b.
c.
d.
e.
____ 16. Find the derivative of the function .
a.
b.
c.
d.
e.
____ 17. Find .
a.
b. 4
c.
d. –4
e.
5.8 Hyperbolic Functions 353
5.8 Hyperbolic Functions
Answer Section
