Find the producers’ surplus (to the nearest dollar) at a price level of p = $26 for the price–supply equation p = S(x) = 5 ln (x + 1) Use x computed to the nearest higher unit.
> Find each indefinite integral. Check by differentiating.
> At a discount department store, the price– demand equation for premium motor oil is given by where x is the number of cans of oil that can be sold at a price of $p. Find the average price over the demand interval [50, 250].
> Graph y = x and the Lorenz curve of Problem 80 over the interval [0, 1]. Discuss the effect of the area bounded by y = x and the Lorenz curve getting larger relative to the equitable distribution of income.
> Find the Gini index of income concentration for the Lorenz curve with equation.
> Find the interest earned at 3.7%, compounded continuously, for 5 years for the continuous income stream with rate of flow ((t) = 200t.
> A company manufactures a portable DVD player. It has fixed costs of $11,000 per week and a marginal cost given by where C(x) is the total cost per week at an output of x players per week. Find the cost function C(x) and determine the production level (
> Graph the price–supply equation and the price-level equation p = 20 of Problem 72 in the same coordinate system. What region represents the producers’ surplus?
> Find the producers’ surplus at a price level of p = $20 for the price–supply equation
> Find the area bounded by the graphs of y = ((x) and y = g(x) to two decimal places. Use a graphing calculator to approximate intersection points to two decimal places.
> Find the area bounded by the graphs of y = ((x) and y = g(x) to two decimal places. Use a graphing calculator to approximate intersection points to two decimal places.
> If ((x) = ax3 + bx2 + cx + d, where a, b, c, and d are any real numbers, use Simpson’s rule with n = 1 (so there are 2n = 2 subintervals) to show that
> use the chain rule to find the derivative of each function.
> Problems are mixed—some require the use of Table 1, and others can be solved with techniques considered earlier.
> Problems are mixed—some require the use of Table 1, and others can be solved with techniques considered earlier.
> Problems are mixed—some require the use of Table 1, and others can be solved with techniques considered earlier.
> Problems are mixed—some require the use of Table 1, and others can be solved with techniques considered earlier.
> use Table 1 to find each indefinite integral.
> use Table 1 to find each indefinite integral.
> use Table 1 to find each indefinite integral.
> use substitution techniques and Table 1 to find each indefinite integral.
> use substitution techniques and Table 1 to find each indefinite integral.
> use substitution techniques and Table 1 to find each indefinite integral.
> write each function as a sum of terms of the form axn , where a is a constant.
> use substitution techniques and Table 1 to find each indefinite integral.
> use substitution techniques and Table 1 to find each indefinite integral.
> use substitution techniques and Table 1 to find each indefinite integral.
> Show that Simpson’s rule with n = 1 (so there are 2 subintervals) gives the exact value of ∫5 1 (3x2 - 4x + 72 dx.
> Show that Simpson’s rule with n = 3 (so there are 6 subintervals) gives the exact value of ∫5 -1 (3 - 2x) dx.
> Let ((x) = 10 - 3x and suppose that the interval [5, 75] is partitioned into 35 subintervals of length 2. Without calculating T35, explain why the trapezoidal rule gives the negative of the exact area between the graph of f and the x axis from x = 5 to x
> Use Simpson’s rule with n = 4 (so there are 2n = 8 subintervals) to approximate and use the fundamental theorem of calculus to find the exact value of the definite integral.
> Use the trapezoidal rule with n = 5 to approximate ∫111 x3 dx and use the fundamental theorem of calculus to find the exact value of the definite integral.
> Use Table 1 in Appendix C to find the antiderivative. //
> Use Table 1 in Appendix C to find the antiderivative. //
> use the chain rule to find the derivative of each function.
> could the given matrix be the transition matrix of an absorbing Markov chain?
> Use Table 1 in Appendix C to find the antiderivative. //
> Use Table 1 in Appendix C to find each indefinite integral //
> Use Table 1 in Appendix C to find each indefinite integral //
> Use Table 1 in Appendix C to find each indefinite integral //
> Use Table 1 in Appendix C to find each indefinite integral //
> Use Table 1 in Appendix C to find each indefinite integral //
> Use Table 1 in Appendix C to find each indefinite integral //
> Find the derivative of (x) and the indefinite integral of g(x).
> Find the derivative of (x) and the indefinite integral of g(x).
> Find the derivative of (x) and the indefinite integral of g(x).
> write each function as a sum of terms of the form axn , where a is a constant.
> A student enrolled in a steno typing class progressed at a rate of N′(t) = (t + 10)e-0.1t words per minute per week t weeks after enrolling in a 15- week course. If a student had no knowledge of steno typing (that is, if the student could stenotype at
> After a person takes a pill, the drug contained in the pill is assimilated into the bloodstream. The rate of assimilation t minutes after taking the pill is R(t) = te-0.2t Find the total amount of the drug that is assimilated into the bloodstream durin
> Interpret the results of Problem 84 with both a graph and a description of the graph. Data from Problem 84: Find the producers’ surplus (to the nearest dollar) at a price level of p = $26 for the price–supply equation p = S(x) = 5 ln (x + 1) Use x com
> The rate of change of the monthly sales of a new basketball game is given by S′(t) = 350 ln (t + 1) S(0) = 0 where t is the number of months since the game was released and S(t) is the number of games sold each month. Find S(t). When, to the nearest m
> Interpret the results of Problem 78 with both a graph and a description of the graph. Data from Problem 78: Find the Gini index of income concentration for the Lorenz curve with equation y = x2ex - 1
> Find the Gini index of income concentration for the Lorenz curve with equation y = x2ex - 1
> Find the interest earned at 4.15%, compounded continuously, for 4 years for a continuous income stream with a rate of flow of ((t) = 1,000 - 250t
> Interpret the results of Problem 72 with both a graph and a description of the graph.
> An oil field is estimated to produce oil at a rate of R1t2 thousand barrels per month t months from now, as given by R(t) = 10te-0.1t Use an appropriate definite integral to find the total production (to the nearest thousand barrels) in the first year
> use the chain rule to find the derivative of each function.
> use absolute value on a graphing calculator to find the area between the curve and the x axis over the given interval. Find answers to two decimal places.
> use absolute value on a graphing calculator to find the area between the curve and the x axis over the given interval. Find answers to two decimal places.
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> write each function as a sum of terms of the form axn , where a is a constant.
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> Problems are mixed—some may require use of the integration by-parts formula along with techniques we have considered earlier; others may require repeated use of the integration-by-parts formula. Assume that g(x) > 0 whenever lnÂ
> illustrate each integral graphically and describe what the integral represents in terms of areas. Problem 22
> illustrate each integral graphically and describe what the integral represents in terms of areas. Problem 20
> The integral can be found in more than one way. First use integration by parts, then use a method that does not involve integration by parts. Which method do you prefer?
> The integral can be found in more than one way. First use integration by parts, then use a method that does not involve integration by parts. Which method do you prefer?
> use the chain rule to find the derivative of each function.
> The integral can be found in more than one way. First use integration by parts, then use a method that does not involve integration by parts. Which method do you prefer?
> Problems are mixed some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
> Problems are mixed some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
> Problems are mixed some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
> Problems are mixed some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
> Problems are mixed some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
> Problems are mixed some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
> Problems are mixed some require integration by parts, and others can be solved with techniques considered earlier. Integrate as indicated, assuming x > 0 whenever the natural logarithm function is involved.
> If you want to use integration by parts to find ∫(5x – 7)(x – 1)4 dx, which is the better choice for u: μ = 5x - 7 or u = (x – 1)4 ? Explain your choice and then integrate
> integrate by parts. Assume that x > 0 whenever the natural logarithm function is involved.
> write each function as a sum of terms of the form axn , where a is a constant.
> integrate by parts. Assume that x > 0 whenever the natural logarithm function is involved.
> Find the derivative of (x) and the indefinite integral of g(x).
> evaluate each definite integral to two decimal places.
> Find real numbers b and c such that (x) = ebect.
> Find real numbers b and c such that (x) = ebect.
> Find real numbers b and c such that (x) = ebect.
> Find real numbers b and c such that (x) = ebect.
> Repeat Problem 85, using quadratic regression to model both sets of data. Data from Problem 85: The following tables give price–demand and price–supply data for the sale of soybeans at a grain market, where x is the n
> Find the consumers’ surplus and the producers’ surplus at the equilibrium price level for the given price– demand and price–supply equations. Include a graph that identifies the cons
> Find the consumers’ surplus and the producers’ surplus at the equilibrium price level for the given price– demand and price–supply equations. Include a graph that identifies the cons
> identify the absorbing states for each transition diagram, and determine whether or not the diagram represents an absorbing Markov chain.
