TEST BANK
Calculus
James Stewart, Daniel K. Clegg, Saleem Watson
9th Edition
Chapter 1-17 (Each Chapter with Forms A-H)
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Chapter 1 FORM A
1. Find the domain of the function.
2. Determine whether f is even, odd, or neither.
3. The graphs of and are given.
a) For what values of is ?
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b) Find the values of and .
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4. It makes sense that the larger the area of a region, the larger the number of species that inhabit the
region. Many ecologists have modeled the species-area relation with a power function and, in
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particular, the number of species S of bats living in caves in central Mexico has been related to the
surface area A measured in of the caves by the equation
(a) The cave called mission impossible near puebla, mexico, has suface area of .
How many species of bats would expect to find in that cave?
(b) If you discover that species of bats live in cave estimate the area of the cave.
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5. Express the function in the form of .
6. The position of a car is given by the values in the following table.
Estimate the instantaneous velocity when by averaging the velocities for the periods
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7. Consider the following function.
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Determine the values of a for which exists.
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8. Find the limit.
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9. Evaluate the limit.
10. Find the limit.
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11. Evaluate the limit.
12. Evaluate the limit.
13. Evaluate the limit.
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14. Find a number such that if , then , where .
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15. Find the point at which the given function is discontinuous.
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16. Write an equation that expresses the fact that a function f is continuous at the number .
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17. Find a function g that agrees with f for and is continuous on .
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18. Let and . Find .
19. Find the limit .
20. Find the numbers, if any, where the function is discontinuous.