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# Essential Calculus Early Transcendentals 2nd Edition by James Stewart -Test Bank

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###### Essential Calculus Early Transcendentals 2nd Edition by James Stewart -Test Bank

Stewart_Essential Calc_2ET ch01sec02

MULTIPLE CHOICE

1. The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.

What is the F-intercept and what does it represent?

 a. 0, Fahrenheit temperature corresponding to b. , Fahrenheit temperature corresponding to c. , Celsius temperature corresponding to d. 32, Celsius temperature corresponding to e. 32, Fahrenheit temperature corresponding to

ANS:   E                     PTS:    1                      DIF:    Medium          REF:    1.2.9b

MSC:   Bimodal          NOT:   Section 1.2

1. The monthly cost of driving a car depends on the number of miles driven. Julia found that in October it cost her  to drive  mi and in July it cost her  to drive  mi. Express the monthly cost C as a function of the distance driven d assuming that a linear relationship gives a suitable model.

 a. b. c. d. e.

ANS:   C                     PTS:    1                      DIF:    Medium          REF:    1.2.14a

MSC:   Bimodal          NOT:   Section 1.2

1. Many physical quantities are connected by inverse square laws, that is, by power functions of the form

.

In particular, the illumination of an object by a light source is inversely proportional to the square of the distance from the source. Suppose that after dark you are in a room with just one lamp and you are trying to read a book. The light is too dim and so you move

the distance to the lamp. How much brighter is the light?

 a. times b. times c. times d. times e. times

ANS:   C                     PTS:    1                      DIF:    Medium          REF:    1.2.15

MSC:   Bimodal          NOT:   Section 1.2

NUMERIC RESPONSE

1. The relationship between the Fahrenheit and Celsius temperature scales is given by the linear function.

Complete the table and find the slope.

ANS:   ; slope =

PTS:    1                      DIF:    Medium          REF:    1.2.9a

MSC:   Numerical Response                           NOT:   Section 1.2

1. 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.

ANS:

1. a) species
2. b)

PTS:    1                      DIF:    Medium          REF:    1.2.16

MSC:   Numerical Response                           NOT:   Section 1.2

Stewart_Essential Calc_2ET ch12sec04

MULTIPLE CHOICE

1. An electric charge is spread over a rectangular region  Find the total charge on R if the charge density at a point  in R (measured in coulombs per square meter) is

 a. coulombs b. coulombs c. coulombs d. coulombs

ANS:   C                     PTS:    1                      DIF:    Medium          REF:    12.4.1

MSC:   Bimodal          NOT:   Section 12.4

1. Find the mass and the center of mass of the lamina occupying the region R, where R is the triangular region with vertices   and , and having the mass density

 a. , b. , c. , d. ,

ANS:   C                     PTS:    1                      DIF:    Medium          REF:    12.4.5

MSC:   Bimodal          NOT:   Section 12.4

1. Find the center of mass of a lamina in the shape of an isosceles right triangle with equal sides of length  if the density at any point is proportional to the square of the distance from the vertex opposite the hypotenuse. Assume the vertex opposite the hypotenuse is located at , and that the sides are along the positive axes.

 a. b. c. d. e. None of these

ANS:   C                     PTS:    1                      DIF:    Medium          REF:    12.4.15

MSC:   Bimodal          NOT:   Section 12.4

NUMERIC RESPONSE

1. Find the mass of the lamina that occupies the region  and has the given density function. Round your answer to two decimal places.

ANS:

PTS:    1                      DIF:    Medium          REF:    12.4.3

MSC:   Numerical Response                           NOT:   Section 12.4

1. A lamina occupies the part of the disk  in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the x-axis.

ANS:

PTS:    1                      DIF:    Medium          REF:    12.4.11

MSC:   Numerical Response                           NOT:   Section 12.4

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