Single Variable Calculus, 8th Edition Test Bank

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Stewart - Calculus 8e 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 ?
b) Find the values of and .
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
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.
Stewart - Calculus 8e Chapter 1 Form A
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
.
7. Consider the following function.
Determine the values of a for which exists.
8. Find the limit.
9. Evaluate the limit.
10. Find the limit.

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