Stewart_Essential Calc_2ET ch02sec08
MULTIPLE CHOICE
1.Use the linear approximation of the function  at  to approximate the number .
a.
b.
c.
d.
e.
ANS: A PTS: 1 DIF: Medium REF: 2.8.5
MSC: Bimodal NOT: Section 2.8
2.Determine the values of x for which the given linear approximation is accurate to within 0.07 at a = 0.
a.
b.
c.
d.
e.
ANS: C PTS: 1 DIF: Medium REF: 2.8.8
MSC: Bimodal NOT: Section 2.8
3.Find the differential of the function.
a.
b.
c.
d.
e.
ANS: E PTS: 1 DIF: Easy REF: 2.8.17a
MSC: Bimodal NOT: Section 2.8
4.Use differentials to estimate the amount of paint needed to apply a coat of paint  cm thick to a hemispherical dome with diameter  m.
a.
b.
c.
d.
e.
ANS: A PTS: 1 DIF: Medium REF: 2.8.24
MSC: Bimodal NOT: Section 2.8
NUMERIC RESPONSE
1.The circumference of a sphere was measured to be  cm with a possible error of  cm. Use differentials to estimate the maximum error in the calculated volume.
ANS:
PTS:1DIF:MediumREF:2.8.23b
MSC: Numerical Response NOT: Section 2.8
Stewart_Essential Calc_2ET ch05sec05
MULTIPLE CHOICE
1.Evaluate the integral by making the given substitution.
a.
b.
c.
d.
e.
ANS: D PTS: 1 DIF: Medium REF: 5.5.4
MSC: Bimodal NOT: Section 5.5
2.Evaluate the indefinite integral.
a.
b.
c.
d.
e.
ANS: B PTS: 1 DIF: Medium REF: 5.5.20
MSC: Bimodal NOT: Section 5.5
3.Evaluate the indefinite integral.
a.
b.
c.
d.
e.
ANS: A PTS: 1 DIF: Medium REF: 5.5.47
MSC: Bimodal NOT: Section 5.5
4.Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calculators after t weeks is
calculators per week. Production approaches 5,700 per week as time goes on, but the initial production is lower because of the workers’ unfamiliarity with the new techniques. Find the number of calculators produced from the beginning of the third week to the end of the fourth week.
Round the answer to the nearest integer.
a.
b.
c.
d.
e.
f.
ANS: F PTS: 1 DIF: Medium REF: 5.5.64
MSC: Bimodal NOT: Section 5.5
NUMERIC RESPONSE
1.Evaluate the indefinite integral.
ANS:
PTS:1DIF:MediumREF:5.5.33
MSC: Numerical Response NOT: Section 5.5
2.Evaluate the definite integral.
ANS: 0
PTS:1DIF:MediumREF:5.5.46
MSC: Numerical Response NOT: Section 5.5
3.Evaluate the definite integral.
ANS:
PTS:1DIF:MediumREF:5.5.51
MSC: Numerical Response NOT: Section 5.5
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