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  6.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. d. 0 e.   7.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. 0 c. d. e. does not exist   8.Evaluate the using L’Hôpital’s Rule if necessary.   a. b. c. d. 0 e.   9.Evaluate the using L’Hôpital’s Rule if necessary.   a. b. c. d. e. 0   10.Evaluate the limit using L'Hopital's Rule if necessary.   a. 0 b. c. d. 1 e. does not exist     .
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MULTIPLE CHOICE 1.Find the center of mass of the point masses lying on the x-axis.   a. b. c. d. e.   2.Find the center of mass of the point masses lying on the x-axis.   a. b. c. d. e.   3.Find the center of mass of the point masses lying on the x-axis.   a. b. c. d. e.   4.Consider a beam of length feet with a fulcrum x feet from.
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  11.Use integration tables to evaluate the integral .   a. b. c. d. e.   12.Use integration tables to evaluate the integral .   a. b. c. d. e.   13.Evaluate the integral .   a. b. c. d. e.   14.A hydraulic cylinder on an industrial machine pushes a steel block a distance of x feet where the variable force required is pounds. Find the work done in pushing the.
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  6.Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.   a. b.   7.Determine whether the improper integral diverges or converges.   a. b.   8.Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.   a. b. c. d. e. diverges   9.Determine whether the improper integral diverges or converges.   a. b.   10.Determine whether the improper integral .
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15.Evaluate . Round your answer to three decimal places.   a. b. c. d. e.   16.Find .   a. b. c. d. e.   17.Suppose a damping force affects the vibration of a spring so that the displacement of the string is given by . Find the average value of y on the interval from to . Round your answer to three decimal places.   a. 0.406 b. 0.131 c. 0.122 d. 0.129 e. 0.382   18.Suppose.
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MULTIPLE CHOICE 1.Determine the work done by lifting a 100 pound bag of sugar 13 feet.   a. 1,300 ft-lb b. 13,000 ft-lb c. 130 ft-lb d. 2,300 ft-lb e. 230 ft-lb   2.A force of 10 pounds compresses a 21-inch spring 8 inches. How much work is done in compressing the spring from a length of 15 inches to a length of 13.
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  6.Use partial fractions to find the integral .   a. b. c. d. e.   7.Use partial fractions to find .   a. b. c. d. e.   8.Use partial fractions to find the integral .   a. b. c. d. e.   9.Use partial fractions to find the integral .   a. b. c. d. e.   10.Use partial fractions to find the integral .   a. b. c. d. e.     .
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  6.Find the indefinite integral by making the substitution .   a. b. c. d. e.   7.Find the indefinite integral by making the substitution .   a. b. c. d. e.   8.Find the indefinite integral by making the substitution .   a. b. c. d. e.   9.Find the indefinite integral by making the substitution .   a. b. c. d. e.   10.Find .   a. b. c. d. e.     .
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  6.Find the arc length of the graph of the function    over the interval .   a. b. c. d. e.   7.Use the integration capabilities of a graphing utility to approximate the arc length of the graph of  on the interval . Round your answer to three decimal places.   a. 3.620 b. 5.020 c. 10.540 d. 3.820 e. 5.270   8.Electrical wires suspended between two towers form a.
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  6.Find the center of mass of the given system of point masses.     a. b. c. d. e.   7.Find the center of mass of the given system of point masses.     a. b. c. d. e.   8.Find the center of mass of the given system of point masses.     a. b. c. d. e.   9.Find for the lamina of uniform density bounded by the graphs of the equations .   a. b. c. d. e.   10.Find.
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15.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. 1 d. e.   16.Evaluate the limit using L'Hopital's Rule if necessary.   a. 1 b. c. 0 d. e.   17.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. d. e. does not exist   18.Apply the Extended Mean Value Theorem to the functions and on the interval , and find all values c in the interval.
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MULTIPLE CHOICE 1.Find the arc length of the graph of the function over the interval [14, 16].   a. b. c. d. e.   2.Find the arc length of the graph of the function over the interval [0,6].   a. b. c. d. e.   3.Find the arc length of the graph of the function over the interval [1,2].   a. b. c. d. e.   4.Find the arc length of the.
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MULTIPLE CHOICE 1.Find the indefinite integral by making the substitution .   a. b. c. d. e.   2.Find the indefinite integral by making the substitution .   a. b. c. d. e.   3.Find the indefinite integral by making the substitution .   a. b. c. d. e.   4.Find the indefinite integral by making the substitution .   a. b. c. d. e.   5.Find the indefinite integral by making the substitution .   a. b. c. d. e.     .
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  11.Find the Maclaurin series for the function .   a. b. c. d. e.   12.Factor a common factor from the polynomial and identify the function approximated by the remaining Taylor polynomial.   a. b. c. d. e.   13.Use a power series to approximate the value of the integral with an error of less than 0.01. Round your answer to two decimal places.   a. 0.81 b. 0.74 c. 0.89 d. 0.88 e. 0.84   14.Use.
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MULTIPLE CHOICE 1.Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.   a. b. c. d. e. diverges   2.Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.   a. b. c. d. e. diverges   3.Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.   a. b. c. d. e. diverges   4.Determine whether the improper integral diverges.
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  11.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. d. 0 e.   12.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. d. e. 0   13.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. d. e.   14.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. d. 0 e. does not exist       .
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  16.Set up and evaluate integrals for finding the moment about the y-axis for the region bounded by the graphs of the equations. (Assume .) .   a. b. c. d. e.   17.Find the volume of the solid generated by rotating the circle about the y-axis.   a. b. c. d. e.   18.Find the volume of the solid generated by rotating the circle about.
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  11.Solve the differential equation .   a. b. c. d. e.   12.Evaluate the definite integral .   a. 4 b. 7 c. 5 d. 0 e. 8   13.Find the definite integral.   a. 64 b. 56 c. 8 d. 104 e. 7   14.Find the definite integral.   a. b. c. d. e.   15.Find the area of the following region. Round your answer to two decimal places.   a. 4.76 b. 5.54 c. 3.93 d. 11.07 e. 1.85         .
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15.Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of  about the y-axis. Round your answer to three decimal places.   a. 58.659 b. 117.319 c. 235.685 d. 5.323 e. 2.661   16.Find the area of the surface generated by revolving the curve about the y-axis. .   a. b. c. d. e.   17.An ornamental light bulb is designed by revolving.
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  11.Determine whether the improper integral diverges or converges.   a. converges b. diverges   12.Determine whether the improper integral diverges or converges. Evaluate the integral if it converges.   a. b. c. diverges d. e.   13.Find the area between the x-axis and the graph of the function .   a. b. c. d. e.   14.Suppose the capitalized cost C is given by where is the original investment, t.
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  6.Find the fluid force of a square vertical plate submerged in water, where meters and the weight-density of water is 9800 newtons per cubic meter.   a. b. c. d. e.   7.Find the fluid force of a triangular vertical plate submerged in water, where the dimensions are given in meters and the weight-density of water.
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MULTIPLE CHOICE 1.Use the definition to find the Taylor series (centered at c) for the function.   a. b. c. d. e.   2.Use the definition to find the Taylor series centered at for the function .   a. b. c. d. e.   3.Use the definition to find the Taylor series centered at for the function .   a. b. c. d. e.   4.Use the definition to find the Taylor series.
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  6.Neglecting air resistance and the weight of the propellant, determine the work done in propelling a 12-ton satellite to a height of 100 miles above Earth. Assume that the Earth has a radius of 4000 miles.   a. 1,756.10 mi-ton b. 1,170.73 mi-ton c. 702.44 mi-ton d. 936.59 mi-ton e. 2,575.61 mi-ton   7.Neglecting air resistance and the.
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  11.Use partial fractions to find .   a. (1/)arctan(x/) b. c. (1/)arcsin(x/)+C d. e. arctan(x/)   12.Evaluate the definite integral . a. b. c. d. e.   13.Use substitution to find the integral . a. b. c. d. e.   14.Use substitution to find the integral .   a. b. c. d. e.   15.The predicted cost C (in hundreds of thousands of dollars) for a company to remove p% of a chemical from its waste water is shown in the table below..
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  6.Use the binomial series to find the Maclaurian series for the function .   a. b. c. d. e.   7.Use the binomial series to find the Maclaurian series for the function .   a. b. c. d. e.   8.Use the binomial series to find the Maclaurin series for the function.   a. b. c. d. e.   9.Find the Maclaurian series for the function .   a. b. c. d. e.   10.Find the Maclaurian series for the function .   a. b. c. d. e.     .
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MULTIPLE CHOICE 1.Write the form of the partial fraction decomposition for the following rational expression.   a. b. c. d. e.   2.Write the form of the partial fraction decomposition for the following rational expression.   a. b. c. d. e.   3.Write the form of the partial fraction decomposition for the following rational expression.   a. b. c. d. e.   4.Use partial fractions to find .   a. b. c. d. e.   5.Use partial fractions to find the integral .   a. b. c. d. e.     .
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  11.Find the area of the surface generated by revolving the curve about the x-axis. .   a. b. c. d. e.   12.Find the area of the surface generated by revolving the curve about the x-axis. .   a. b. c. d. e.   13.Set up and evaluate the definite integral for the area of the surface formed by revolving the graph of about the x-axis.   a. b. c. d. e.   14.Find the.
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  11.Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis.   a. b. c. d. e.   12.Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the -axis.   a. b. c. d. e.   13.Find the volume of the solid generated by revolving the.
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MULTIPLE CHOICE 1.Evaluate the limit first by using techniques from Chapter 1 then by using L'Hopital's Rule.   a. b. c. d. 0 e. does not exist   2.Evaluate the limit first by using techniques from Chapter 1 then by using L'Hopital's Rule.   a. b. 0 c. d. e. does not exist   3.Evaluate the limit using L'Hopital's Rule if necessary.   a. b. c. 0 d. e. does not exist   4.Evaluate the limit first.
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