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mathematics
college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

In Problems 31–44, perform the indicated operations and simplify. (5a2b)² (2b + 5a)²
In Problems 31–44, perform the indicated operations and simplify. (2x - 1)² (3x + 2) (3x - 2)
In Problems 31–44, perform the indicated operations and simplify. (m2)² (m-2) (m +2) -
In Problems 35–42, imagine that the indicated “solutions” were given to you by a student whom you were tutoring in this class.(A) Is the solution correct? If the solution is incorrect, explain
In Problems 31–44, perform the indicated operations and simplify. (x − 3)(x + 3) - (x − 3)² - 2 -
In Problems 31–44, perform the indicated operations and simplify. (x - 2y) (2x +y) - (x + 2y) (2x - y)
In Problems 31–44, perform the indicated operations and simplify. (3m + n) (m 3n) − (m+3n) (3m - n) -
In Problems 19–56, factor completely. If a polynomial cannot be factored, say so.4u3v - uv3
In Problems 19–56, factor completely. If a polynomial cannot be factored, say so.8x3 - 27y3
In Problems 19–56, factor completely. If a polynomial cannot be factored, say so.5x3 + 40y3
In Problems 47–50, perform the indicated operations and simplify. [(2x − 1)² x(3x + 1)]² -
Find the tax owed on a purchase of $182.39 if the state sales tax rate is 9%. (Round to the nearest cent).
In Problems 47–50, perform the indicated operations and simplify. [5x(3x +1) — 5(2x - 1)²]² -
In Problems 47–50, perform the indicated operations and simplify. 2{(x3)(x² - 2x + 1) = x[3 - x(x - 2)]}
In Problems 47–50, perform the indicated operations and simplify. {(ε =₂x) (Z + x) - [(x-7)x - x]x}x_
How does the answer to Problem 51 change if the two polynomials can have the same degree? Data in Problem 51If you are given two polynomials, one of degree m and the other of degree n, where m is
In Problems 19–56, factor completely. If a polynomial cannot be factored, say so.15x2(3x - 1)4 + 60x3(3x - 1)3
Four thousand tickets are to be sold for a musical show. If x tickets are to be sold for $20 each and three times that number for $30 each, and if the rest are sold for $50 each, write an algebraic
Use the method of Lagrange multipliers in Problems 7–10. Maximize subject to f(x, y) = 2xy x + y = 6
Use the method of Lagrange multipliers in Problems 7–10. Minimize subject to f(x, y) = 6xy y x = 6
Use the method of Lagrange multipliers in Problems 7–10. Minimize subject to f(x, y) = x² + y² 3x+4y= 25
In Problems 9–16, find the indicated values of the functions f(4, -1) f(x, y) = 2x + 7y - 5 and g(x, y) = 88 x² + 3y
In Problems 9–16, find the indicated first-order partial derivative for each function z = f(x, y). fx(x, y) if f(x, y) = 7x + 8y - 2
Use the method of Lagrange multipliers in Problems 7–10. Maximize subject to f(x, y) = 25x² - y² 2x + y = 10
In Problems 9–16, find the indicated values of the functions f(0, 10) f(x, y) = 2x + 7y - 5 and g(x, y) = 88 x² + 3y
In Problems 9–16, find the indicated first-order partial derivative for each function z = f(x, y). fy(x, y) if f(x, y) = x² 3xy + 2y² -
In Problems 9–16, find the indicated values of the functions f(8, 0) f(x, y)= 2x + 7y - 5 and g (x, y) = 88 x² + 3y
In Problems 9–16, find the indicated values of the functions f(5, 6) f(x, y) = 2x + 7y - 5 and g(x, y) = 88 x² + 3y
In Problems 9–16, find the indicated values of the functions g(1, 7) f(x, y) = 2x + 7y - 5 and g(x, y) = 88 x² + 3y
In Problems 9–16, find the indicated values of the functions g(3, -3) f(x, y) = 2x + 7y - 5 and g(x, y) = 88 x² + 3y
In Problems 9–16, find the indicated first-order partial derivative for each function z = f(x, y). дz ду if z = (5x + 2y) 10
In Problems 9–16, find the indicated first-order partial derivative for each function z = f(x, y). дz ax if z = (2x - 3y) 8 =
In Problems 17–24, find the indicated value. fx(1, 3) if f(x, y) = 5x3y - 4xy2
In Problems 17–24, find the indicated value. fy(1,0) if f(x, y) = 3xe"
In Problems 17–24, find the indicated value. fx(4, 1) if f(x, y) = x2 y2 - 5xy3
Use the method of Lagrange multipliers in Problems 13–22. Maximize and Minimize f(x, y, z) = x+y+z subject to x² + y² + z² = 12
In Problems 17–24, find the indicated value. fy(2, 4) if f(x, y) = x4 In y
In Problems 17–24, find the indicated value. fy(2, 1) if f(x, y) = e²² - 4y
In Problems 17–24, find the indicated value. fy(3, 3) if f(x, y) = ³x - y²
In Problems 17–24, find the indicated value. f(1,-1) if f(x, y) 2xy 1 + x²y²
In Problems 21–30, find the indicated value of the given function. V(4, 12) for V(R, h) = TR²h
In Problems 17–24, find the indicated value. f(-1,2) if f(x, y) = 1² - y² 1 + x²
In Problems 21–30, find the indicated value of the given function. T(4, 12) for T(R, h) = 2πR(R + h)
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fxx(x, y) if f(x, y) = 6x - 5y + 3.
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fy(x, y) if f(x, y) = e¹²
Explain why f(x, y) = x2 has a local extremum at infinitely many points.
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fyx(x, y) if f(x, y) = ³x+2y
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fyy(x, y) if f(x, y) In x y
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). f(x, y) if f(x, y) 3 ln x 1²
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fxx(x, y) if f(x, y) = (2x + y)5
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fyx (x, y) if f(x, y) = (3x -8y)6
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fry(x, y) if f(x, y) = (x² + y4) 10
In Problems 31–42, find the indicated second-order partial derivative for each function f(x, y). fyy(x, y) if f(x, y) = (1 + 2xy²)8
The Cobb–Douglas production function for a petroleum company is given by Where x is the utilization of labor and y is the utilization of capital. If the company uses 1,250 units of labor and 1,700
In Problems 61-66, find fxx (x, y), fry (x, y), fyx(x, y), and fyy(x, y) for each function f. f(x, y) || X y 1 y X
In Problems 61-66, find fxx (x, y), fry (x, y), fyx(x, y), and fyy(x, y) for each function f.f(x, y) = x2y2 + x3 + y
In Problems 61-66, find fxx (x, y), fry (x, y), fyx(x, y), and fyy(x, y) for each function f.f(x, y) = xexy
In Problems 5–10, evaluate each integral. [xe -x 2x dx
Sketch a graph of the area between the graphs of y = ln x and y = 0 over the interval [0.5, e] and find the area.
In Problems 5–10, evaluate each integral. fx1 x ln x dx
In Problems 5–10, evaluate each integral. 1 √xmx² dx x ln x
In Problems 5–10, evaluate each integral. x SH 1 + x² dx
In Problems 5–10, evaluate each integral. √ =( xp. dx x(1 + x)²
In Problems 11–16, find the area bounded by the graphs of the indicated equations over the given interval. 1 y ==;y X -e, 1 ≤ x ≤2
Problems 9–14 refer to Figures A–D. Set up definite integrals in Problems 9–12 that represent the indicated shaded area. Shaded area in Figure C. a f(x) h(x) a y = f(x) (A) b (C) b y =
Problems 9–14 refer to Figures A–D. Set up definite integrals in Problems 9–12 that represent the indicated shaded area. Shaded area in Figure A. a f(x) y = f(x) (A) b h(x) a b Joue y =
Problems 9–14 refer to Figures A–D. Set up definite integrals in Problems 9–12 that represent the indicated shaded area. Shaded area in Figure D a f(x) h(x) a y =f(x) (A) b (C) b y =
In Problems 11–16, find the area bounded by the graphs of the indicated equations over the given interval. y = x; y = -x³², -2 ≤x≤ 2
In Problems 9–14, evaluate each definite integral to two decimal places. 0 8 e0.06(8-1) dt
In Problems 5–10, evaluate each integral. 1 2√1 + x J =dx
In Problems 9–12, integrate by parts. Assume that x > 0 whenever the natural logarithm function is involved. [xe² xe3 dr dx
Problems 15–28 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
In Problems 9–14, evaluate each definite integral to two decimal places. -10 1 e0.07(10-1) dt
In Problems 11–16, find the area bounded by the graphs of the indicated equations over the given interval. y = -x + 2; y = x² + 3, -1 ≤x≤ 4
Problems 15–28 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
In Problems 11–16, find the area bounded by the graphs of the indicated equations over the given interval. y = 5 - 2x - 6x2; y = 0, 1 ≤ x ≤ 2
In Problems 11–16, find the area bounded by the graphs of the indicated equations over the given interval. y = x²; y = -x²; -2 ≤ x ≤ 2
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = x + 4; y = 0; 0 ≤ x ≤ 4
Problems 15–28 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
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = x² = 20; y = 0;-3 ≤x≤0 -
The Gini indices of Uganda and South Africa are 0.78 and 0.48, respectively. In which country is income more equally distributed?
Problems 15–28 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
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = x² + 2; y = 0;0 ≤ x ≤ 3
The Gini indices of Thailand and Vietnam are 0.54 and 0.38, respectively. In which country is income more equally distributed?
Problems 15–28 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
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = -x² + 10; y = 0; -3 ≤ x ≤ 3
Problems 15–28 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
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = -2x²; y = 0; -6 ≤ x ≤ 0
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = x³ +1; y = 0; 0 ≤ x ≤ 2 :
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = x(1 x); y = 0; -1 ≤ x ≤0
In Problems 19–22, set up definite integrals that represent the shaded areas in the figure over the indicated intervals.The union of interval [a, b] and interval [c, d].
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = -x(3x); y = 0; 1 ≤ x ≤ 2
Sketch a graph of the area bounded by the graphs of y = x2 - 6x + 9 and y = 9 - x and find the area.
In Problems 24–29, evaluate each integral. [x Jo x²e dx
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = -e; y = 0; -1 ≤x≤ 1
In Problems 24–29, evaluate each integral. "3 Jo x² √x² + 16 dx
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = e; y = 0; 0 ≤x≤ 1
In Problems 24–29, evaluate each integral. 1₁ 1 4x²√4x² - 25 2 dx
In Problems 15–28, find the area bounded by the graphs of the indicated equations over the given interval. Compute answers to three decimal places. y = 1 X y = 0; 1 ≤ x ≤e
Problems 15–28 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

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