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Calculus Early Transcendentals 8th Edition by James Stewart - Test Bank
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Calculus Early Transcendentals 8th Edition by James Stewart - Test Bank
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,Stewart - Calculus 8e ET Chapter 1 Form A1. If , find .
2. Solve each equation for x.
(a) (b)
3. Simplify the expression.
4. Fill in the blanks.
Let , where .
__________ __________
5. Determine whether f is even, odd, or neither.
6. Find the range of the function.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
,Stewart - Calculus 8e ET Chapter 1 Form A
7. The graphs of and are given.
a) For what values of is ?
b) Find the values of and .
8. A spherical balloon with radius inches has volume
.
Find a function that represents the amount of air required to inflate the balloon from a radius of
inches to a radius of inches.
9. 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.
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
, Stewart - Calculus 8e ET Chapter 1 Form A
10. The relationship between the Fahrenheit and Celsius temperature scales is given by the linear
function.
Complete the table and find the slope.
11. Plot the graph of the function in (a) the standard viewing window and (b) the indicated window.
f (x) = x , [-3, 3] [-5, 5]
12. Plot the graph of the function f in an appropriate viewing window.
f (x) = 2x – 5x + 4x + 27
13. Find the points of intersection of the graphs of the functions. Express your answers accurate to five
decimal places.
= 0.3 – 1.1x – 3.5; = –0.2 + 0.4x + 6.9
14. Determine whether f is one-to-one.
y
x
© 2016 Cengage Learning. All Rights Reserved. May not be scanned, copied or duplicated, or posted to a publicly accessible website, in whole or in part.
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