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MULTIPLE CHOICE 1.Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.   a. 148.5 b. 12 c. 79.5 d. 159 e. 15   2.Evaluate the definite integral . Use a graphing utility to verify your results. a. b. c. d. e.   3.Evaluate the definite integral of a function . Use a graphing utility to verify your results.   a. b. c. d. e.   4.Evaluate the definite integral of the algebraic function. Use.
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  6.Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.   a. b. c. d. e.   7.Sketch a few solutions of the differential equation on the slope field and then find the general solution analytically.   a. b. c. d. e.   8.A calf that weighs 70 pounds at birth gains weight at the rate .
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  11.Find the derivative of the function .   a. b. c. d. e.   12.Find an equation of the tangent line to the graph of the function at the point .   a. b. c. d. e.   13.Find the indefinite integral.   a. b. c. d. e.   14.Find the indefinite integral.     a. b. c. d. e.   15.Find the integral of  .   a. b. c. d. e.     .
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  11.Estimate the error in using (a) the Trapezoidal Rule and (b) Simpson's Rule with when approximating the following integral.   a. The error for the Trapezoidal Rule is 0.0051 and for Simpson's Rule it is 0.0013. b. The error for the Trapezoidal Rule is 0.0000 and for Simpson's Rule it is 0.0200. c. The error for.
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MULTIPLE CHOICE 1.Identify the graph of the logistic function .   a. d. b. e. c.   2.Each of the following graphs is from a logistic function . Which one has the smallest value of b?   a. d. b. e. c.   3.Each of the following graphs is from a logistic function . Which one has the largest value of b?   a. d. b. e. c.   4.The logistic function models the.
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  16.Sketch the slope field for the differential equation and use the slope field to sketch the solution that passes through the point .   a. d. b. e. c.   17.Sketch the slope field for the differential equation and use the slope field to sketch the solution satisfying the condition .   a. d. b. e. c.   18.Use Euler's Method to make a.
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  21.Find the area of the region given below bounded by the graph of .   a. b. c. d. e.   22.Find the area of the region bounded by the graphs of the equations Round your answer to four decimal places.   a. 7.2189 b. 7.5835 c. 8.2189 d. 8.5835 e. 8.8283   23.Suppose a population of bacteria is changing at a rate of where t is the time.
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  16.Find the indefinite integral of the following function.   a. b. c. d. e.   17.Find the indefinite integral.   a. b. c. d. e.   18.Find the indefinite integral.   a. b. c. d. e.   19.Find the indefinite integral.   a. b. c. d. e.   20.Find the following indefinite integral.   a. b. c. d. e.     .
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MULTIPLE CHOICE 1.Find the indefinite integral .   a. b. c. d. e.   2.Find the indefinite integral .   a. b. c. d. e.   3.Find the indefinite integral .   a. b. c. d. e.   4.Find the indefinite integral of the following function and check the result by differentiation.     a. b. c. d. e.   5.Find the indefinite integral of the following function and check the result by differentiation.     a. b. c. d. e.     .
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MULTIPLE CHOICE 1.Which of the following is a solution of the differential equation ?   a. b. c. d. e.   2.Which of the following is a solution of the differential equation ?   a. b. c. d. e.   3.Which of the following is a solution of the differential equation ?   a. b. c. d. e.   4.Find the particular solution of the differential equation that satisfies the initial condition when.
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  6.Find the particular solution of the differential equation that satisfies the boundary condition .   a. b. c. d. e.   7.Find the particular solution of the differential equation that satisfies the boundary condition .   a. b. c. d. e.   8.Solve the Bernoulli differential equation .   a. b. c. d. e.   9.Find the particular solution of the differential equation passing through the point .   a. b. c. d. e.   10.A 300-gallon tank is.
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  6.Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.   a. b. c. d. e.   7.Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the given lines.   a. b. c. d. e.   8.Find the volume of the solid generated by.
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MULTIPLE CHOICE 1.Evaluate the function 3sinh 2. If the value is not a rational number, give the answer to three-decimal-place accuracy.   a. 30.098 b. 7.254 c. 21.761 d. 10.881 e. 7.524   2.Evaluate and  in that order.   a. b. c. d. e.   3.Evaluate and in that order.   a. b. c. d. e.   4.Evaluate and in that order.   a. b. c. d. e.   5.Evaluate . Round your answer to three decimal places.   a. 20.794 b. 13.693 c. 11.075 d. 12.484 e. 8.254     .
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  11.Find the indefinite integral.   a. b. c. d. e.   12.Use the differential equation and the initial condition to find y.   a. b. c. d. e.   13.Use the differential equation and the initial condition to find y.   a. b. c. d. e.   14.Find the area of the shaded region for the function .   a. b. c. d. e.   15.Find the area of the shaded region for the function  .   a. b. c. d. e.   16.Find the area.
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  11.Find the indefinite integral.   a. b. c. d. e.   12.Find the solution of the differential equation which passes through the point .   a. b. c. d. e.   13.Find the solution of the differential equation which passes through the point .   a. b. c. d. e.   14.Use integration to find the particular solution of the differential equation which passes through the point .   a. b. c. d. e.   15.Evaluate .   a. b. c. d. e.     .
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  11.Use integration to find a general solution of the differential equation.   a. b. c. d. e.   12.Use the differential equation and its slope field to find the slope at the point .   a. 32 b. 1 c. 8 d. 64 e. 16   13.Select from the choices below the slope field for the differential equation.   a. d. b. e. none of the above c.   14.Select from the choices below the slope field for the.
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  6.Use integration to find a general solution of the differential equation.   a. b. c. d. e.   7.Use integration to find a general solution of the differential equation .   a. b. c. d. e.   8.Use integration to find a general solution of the differential equation .   a. b. c. d. e.   9.Use integration to find a general solution of the differential equation.   a. b. c. d. e.   10.Use integration to find a general solution of.
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  16.Find the smallest n such that the error estimate in the approximation of the definite integral is less than 0.00001 using the Trapezoidal Rule. Use a graphing utility to estimate the maximum of the absolute value of the second derivative.   a. 208 b. 189 c. 196 d. 201 e. 188   17.The table lists several measurements gathered in an experiment to.
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MULTIPLE CHOICE 1.Find the general solution of the differential equation .   a. b. c. d. e.   2.Find the particular solution of the differential equation that satisfies the initial condition .   a. b. c. d. e.   3.Find an equation of the graph that passes through the point (7, 3) and has the slope .   a. b. c. d. e.   4.Determine whether the function is homogeneous and determine its.
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MULTIPLE CHOICE 1.Set up the definite integral that gives the area of the region bounded by the graph of and .   a. b. c. d. e.   2.The integrand of the definite integral is a difference of two functions. Sketch the graph of each function and shade the region whose area is represented by the integral .   a. d. b. e. c.   3.Find.
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  6.Evaluate the definite integral of the algebraic function. Use a graphing utility to verify your results.   a. –516 b. 516 c. 618 d. 1185 e. –1974   7.Evaluate the definite integral of the trig function. Use a graphing utility to verify your results.   a. –7 b. –5 c. –6 d. –8 e. –4   8.Evaluate the definite integral of the function. Use a graphing utility to verify your results.   a. b. c. d. e.   9.Determine the area of the given region.   a. b. c. d. e.   10.Determine the area.
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  6.Find the area of the region bounded by the graphs of the algebraic functions.   a. b. c. d. e.   7.Find the area of the region bounded by the graphs of the algebraic functions.   a. b. c. d. e.   8.Find the area of the region bounded by the graphs of the algebraic functions.   a. b. c. d. e.   9.Find the area of the region bounded by the graphs of.
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  21.Find an equation for the function whose derivative is and whose graph passes through the point .   a. b. c. d. e.   22.Evaluate the following definite integral. Use a graphing utility to check your answer.   a. b. c. d. e.   23.Evaluate the definite integral.   a. b. c. d. e.   24.Evaluate the definite integral.   a. b. c. d. e.   25.Evaluate the following definite integral. Use a graphing utility to check your answer.   a. b. c. d. e.     .
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  21.Find the time (in years) necessary for 1,000 to double if it is invested at a rate 6% compounded continuously. Round your answer to two decimal places.   a. 1.16 years b. 11.55 years c. 1.39 years d. 11.90 years e. 11.58 years   22.Suppose that the population (in millions) of Paraguay in 2007 was 6.7  and that the expected continuous annual rate.
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  11.Match the logistic equation and initial condition with the graph of the solution.   a. d. b. e. c.   12.A conservation organization releases 40 coyotes into a preserve. After 4 years, there are 70 coyotes in the preserve. The preserve has a carrying capacity of 175. Write a logistic function  that models the population of coyotes in.
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  6.Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using subintervals. Round your answer to six decimal places and compare the result with the exact value of the definite integral.   a. The Trapezoidal rule gives and Simpson's rule gives . b. The Trapezoidal rule gives 1.3973.
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  6.The logistic function models the growth of a population. Identify the initial population.   a. 6 b. 8 c. 3 d. 24 e. 2   7.The logistic function models the growth of a population. Determine when the population reaches one-half of the maximum carrying capacity. Round your answer to three decimal places.   a. 0.549 b. 3.333 c. 1.151 d. 5.000 e. 1.000   8.The logistic function models the growth of a population..
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  6.Write and solve the differential equation that models the following verbal statement: The rate of change of with respect to is proportional to .   a. b. c. d. e.   7.Find the function passing through the point with the first derivative .   a. b. c. d. e.   8.Find the function passing through the point with the first derivative.
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MULTIPLE CHOICE 1.Use the Trapezoid Rule to approximate the value of the definite integral wth . Round your answer to four decimal places.   a. b. c. d. e.   2.Apply the Trapezoidal Rule and Simpson's Rule to approximate the value of the definite integral using subintervals. Round your answer to six decimal places and compare the.
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  16.The half life of the radium isotope Ra-226 is approximately 1,599 years. If the amount left after 1,000 years is 1.8 g, what is the amount after 2000 years? Round your answer to three decimal places.   a. 1.167 g b. 0.939 g c. 1.800 g d. 0.490 g e. 2.334 g   17.The half-life of the radium isotope Ra-226 is approximately 1,599.
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  11.Find the area of the region bounded by the graphs of the equations. .   a. b. c. d. e.   12.If the accumulation function is given by , evaluate   a. b. c. d. e.   13.Suppose that and model the revenue (in billions of dollars) for a large corporation. The model gives projected annual revenues from 2008 through 2015, with.
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  11.Find the indefinite integral of the following function.     a. b. c. + C d. e.   12.Find the indefinite integral.   a. b. c. d. e.   13.Find the indefinite integral.   a. b. c. d. e.   14.Find the indefinite integral   a. b. c. d. e.   15.Find the indefinite integral.   a. b. c. d. e.     .
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  16.Evaluate the integral.   given,   a. –180 b. 16 c. –10169 d. –11522 e. –179   17.Evaluate the integral.   given,   a. 84 b. 1074 c. 8 d. 1346 e. 295   18.Evaluate the integral.   given,   a. –65 b. –2377 c. –66 d. –2024 e. –2025   19.The graph of f consists of line segments, as shown in the figure. Evaluate the definite integral using geometric formulas. a. 4 b. 3 c. 1 d. 2 e. 5         .
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MULTIPLE CHOICE 1.Solve the first order linear differential equation.   a. b. c. d. e.   2.Solve the first-order linear differential equation .   a. b. c. d. e.   3.Solve the first order linear differential equation.   a. b. c. d. e.   4.Find the particular solution of the differential equation that satisfies the initial condition .   a. b. c. d. e.   5.Find the particular solution of the differential equation   that satisfies the boundary condition .   a. b. c. d. e.     .
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  11.Find the area of the region bounded by the graphs of the equations . Round your answer to the nearest whole number.   a. 768 b. 96 c. 49 d. 72 e. 16   12.Find the average value of the function over the interval .   a. –152 b. –52 c. 148 d. 248 e. –252   13.Find the average value of on the interval .   a. b. 35 c. d. e. 40   14.The force (in newtons) of a hydraulic cylinder.
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  6.Find the indefinite integral of the following function and check the result by differentiation.     a. b. c. d. e.   7.Solve the differential equation.     a. b. c. d. e.   8.Solve the differential equation.     a. b. c. d. e.   9.Find the indefinite integral of the following function.     a. b. c. d. e.   10.Find the indefinite integral  .   a. b. c. d. e.     .
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