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mathematics
mathematical applications for the management

Questions and Answers of Mathematical Applications for the Management

Evaluate the integrals in Problem. Identify the formula used.∫ x dx/7 - 3x2
Evaluate the definite integrals in Problem. 4 dz
Evaluate the integrals in Problem. Identify the formula used. x In x dx 2 dx
Evaluate the definite integrals in Problem. '2 etx-3 dx
Evaluate the integrals in Problem. Identify the formula used. 3 ² + 1)2 + 9 dx
Evaluate the definite integrals in Problem. e3x dx
Evaluate the integrals in Problem. Identify the formula used.∫ dx/9 - (2x + 3)2
Evaluate the definite integrals in Problem. V - 8x dx V2x – 8 x
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.y = √4 - x ; x = 4; y = 3
Evaluate the integrals in Problem. Identify the formula used. dx V(3x + 1)? + 1
Evaluate the definite integrals in Problem. V4x + 9 dx
In Problems, use the sum formulas I–V to express each of the following without the summation symbol. n 2i 1- 3 n n² n i=1
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.y = √x + 3 ; x = -3; y = 2
Evaluate the integrals in Problem. Identify the formula used. x dx Jo 6 - 5х
In Problem, p and C are in dollars and x is the number of units. If the demand function for a good is p = 110 - x2 and the supply function for it is p = 2 - 1.2x + 0.2x2, find the consumer’s
In Problem, use integration by parts to evaluate the integral. Note that evaluation may require integration by parts more than once. (In x)? dx
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.f (x) = 6/x ; g(x) = -x - 5
Evaluate the integrals in Problem. Identify the formula used.∫ 3x dx/(2x - 5)2
Evaluate the definite integrals in Problem. 2 L 15x (x* – 6)° dx -2
In Problem, use integration by parts to evaluate the integral. Note that evaluation may require integration by parts more than once.∫e2x √ex + 1 dx
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.f (x) = 3/x; g(x) = 4 - x
Evaluate the integrals in Problem. Identify the formula used.∫ dx/25 - 4x2
Evaluate the definite integrals in Problem. L(2x – x**(1- x) dx *3
In Problem, use integration by parts to evaluate the integral. Note that evaluation may require integration by parts more than once.∫ x2 √x - 3 dx
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.f (x) = x3; g(x) = 2x - x2
Evaluate the integrals in Problem. Identify the formula used.∫ dx/√9x2 - 4
Evaluate the definite integrals in Problem. (3– 3x2)°(x² – 2x) dx
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.f (x) = x3; g(x) = x2 + 2x
Evaluate the integrals in Problem. Identify the formula used.∫x ex2dx
Evaluate the definite integrals in Problem. 5x? (4х3- 2)* dx
In Problem, evaluate the improper integrals that converge. 00 x*e-* dx 4 - 00
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.g(x) = 1 - x2; h(x) = x2 + x
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.h(x) = x2; k(x) = √x
Evaluate the integrals in Problem. Identify the formula used.∫ 5 dx/x√4 - 9x2
Evaluate the definite integrals in Problem. 4 (x² + 2 2)³x dx
In Problem, find the value of each sum. 4 Σ1- :2 4j + 1) j=0
In Problem, evaluate the improper integrals that converge. 00 x'e ** dx X. -00
In Problem, equations are given whose graphs enclose a region. In each problem, find the area of the region.y = x2; y = 4x - x2
Evaluate the integrals in Problem. Identify the formula used.∫x√x4 - 36 dx
Evaluate the definite integrals in Problem. (x + 2)13 dx
In Problem, approximate each integral by(a) The Trapezoidal Rule.(b) Simpson’s Rule.Use n = 4 and round answers to three decimal places. .5 | In (x + x + 2) dx
In Problem, evaluate the improper integrals that converge. 00 9x (3x + 7)2 8
Evaluate the integrals in Problem. -2x dx
Evaluate the integrals in Problem. Identify the formula used. fV + 46 *3 4 dx
Evaluate the definite integrals in Problem. 4 (x – 4)° dx 13
In Problem, approximate each integral by(a) The Trapezoidal Rule.(b) Simpson’s Rule.Use n = 4 and round answers to three decimal places. .5 In (x - x + 1) dx
In Problem, evaluate the improper integrals that converge. 00 2x (x² + 1)2 dx 1)2 00 8
Evaluate the integrals in Problem. dx x* + 1
Evaluate the integrals in Problem. Identify the formula used.∫√9x2 + 4 dx
Evaluate the definite integrals in Problem. dz 3
The environmental effects of a chemical spill in the Clarion River can be estimated from the river’s flow volume. To measure this flow volume, it is necessary to find the cross-sectional area of
In Problem, evaluate the improper integrals that converge. -2 3x + 5 -00
In Problem, use integration by parts to evaluate the integral.∫√x ln x dx
Evaluate the integrals in Problem. .2 | 5x(6x + 1)/2
Evaluate the integrals in Problem. Identify the formula used.∫x 5x2 dx
Evaluate the definite integrals in Problem. Р3 3 dy
Use the Trapezoidal Rule to approximate ∫31 (x ln x) dx With n = 4 subintervals.
In Problem, evaluate the improper integrals that converge. -1 -00
In Problem, use integration by parts to evaluate the integral. •4 [x V + 9 dx
Evaluate the integrals in Problem. p4/1 + Vx ) dx
Evaluate the integrals in Problem. Identify the formula used.∫ dy/√9 + y2
Evaluate the definite integrals in Problem. 4 3Vx dx 2
With data from the U.S. Department of Energy, the number of billions of barrels of U.S. crude oil produced per year from 2010 and projected to 2030 can be modeled by the function f(t) = -0.001t2 +
In Problem, evaluate the improper integrals that converge. dx (x² + 1)2
In Problem, use integration by parts to evaluate the integral.∫ x3/√9 - x2 dx
Evaluate the integrals in Problem. .2 (x² + x) dx
Evaluate the integrals in Problem. Identify the formula used.∫w√4w + 5 dw
Evaluate the definite integrals in Problem. 5 41 dx
In an effort to make the distribution of income more nearly equal, the government of a country passes a tax law that changes the Lorenz curve from y = 0.998x2.6 for one year to y = 0.57x2 + 0.43x for
In Problem, use integration by parts to evaluate the integral.∫q3√q2 - 3 dq
For each shaded region in Problem,(a) Find the points of intersection of the curves,(b) Form the integral that represents the area of the shaded region, and (c) Find the area of the shaded
Evaluate the integrals in Problem. 3 dx 2x - 7 2
Evaluate the integrals in Problem. Identify the formula used.∫ x dx/(3x + 2)2
Evaluate the definite integrals in Problem. x* – 5x + 2x) dx
For each integral in Problem, do the following.(a) Approximate its value using the Trapezoidal Rule.(b) Approximate its value using Simpson’s Rule.(c) Find its exact value by integration.(d) State
The figure shows typical supply and demand curves. On the figure, sketch and shade the region whose area represents the consumer’s surplus. Demand Supply
In Problem, evaluate the improper integrals that converge. -2 dx V? – 1)3 -00 8
In Problem, use integration by parts to evaluate the integral.∫x ln (4x) dx
Evaluate the integrals in Problem. Identify the formula used. Vx - 25 dx J5
Evaluate the definite integrals in Problem. •4 (4x3 — 6х2 - 5х) dx 2
For each integral in Problem, do the following.(a) Approximate its value using the Trapezoidal Rule.(b) Approximate its value using Simpson’s Rule.(c) Find its exact value by integration.(d) State
Find the area between y = 2x + 4 and y = x2 - x.
In Problem, evaluate the improper integrals that converge. -110 dx
In Problem, use integration by parts to evaluate the integral.∫ x ln (2x - 3) dx
Evaluate the integrals in Problem. Identify the formula used. •3 I Vx + 16 dx
Evaluate the definite integrals in Problem. 4 (бх — 9) dx
Suppose a continuous income stream has an annual rate of flow f(t) = 85e-0.01t, in thousands of dollars per year, and the current interest rate is 7% compounded continuously.(a) Find the total income
In Problem, evaluate the improper integrals that converge. 00 xer dx
In Problem, use integration by parts to evaluate the integral.∫ x/√x - 3 dx
Evaluate the integrals in Problem. Identify the formula used.∫ dv/v (3v + 8)
Evaluate the definite integrals in Problem. •4 | '(10 – 4x) dx
In Problem, evaluate the improper integrals that converge. 00 e3x dx
In Problem, use integration by parts to evaluate the integral. S'in x dx
Evaluate the integrals in Problem. Identify the formula used. dq 25 + q 5.
Evaluate the definite integrals in Problem. -1 L 24w? dw – 2
Use the numerical integration feature of a graphing calculator to approximate ∫41 √x3 + 10 dx.
In Problem, evaluate the improper integrals that converge. 1 Vx
In Problem, use integration by parts to evaluate the integral.∫ ln (x - 1)/√x - 1 dx
Evaluate the integrals in Problem. Identify the formula used. q dq ба + 9 2
Evaluate the definite integrals in Problem. 3 | 36z dz

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