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college mathematics for business

Questions and Answers of College Mathematics For Business

Find y′ for y = y(x) defined implicity by the equation 2y2 - 3x3 - 5 = 0, and evaluate at (x, y) = (1, 2).
In Problem find (A) The derivative of T(x) /B(x) without using the quotient rule, and (B) T′(x) /B′(x). Note that the answer to part (B) is different from the answer to part
In Problem if it is possible to solve for y in terms of x, do so. If not, write “Impossible.”2 ln y + y ln x = 3x
In Problem solve for the variable without using a calculator.y = ln 3√ e
In Problem use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p).p = 25e-x/20, 0
In Problem find f′(x)f(x) = 8ex + e
In Problem solve for the variable to two decimal places.6,000 = 5,000e0.0325t
In Problem find (A) The derivative of T(x) /B(x) without using the quotient rule, and (B) T′(x) /B′(x). Note that the answer to part (B) is different from the answer to part
In Problem if it is possible to solve for y in terms of x, do so. If not, write “Impossible.”x2 + xy + y2 = 1
In Problem solve for the variable without using a calculator.log10 x = -3
In Problem use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p).p = 180 -
In Problem find f′(x) f(x) 15x -3 + 4V
In Problem solve for the variable to two decimal places.50,000 = Pe0.054(7)
In Problem if it is possible to solve for y in terms of x, do so. If not, write “Impossible.”4y2 - x2 = 36
In Problem find(A) The derivative of F(x) S(x) without using the product rule, and (B) F′(x) S′(x).Note that the answer to part (B) is different from the answer to part (A).F(x) = x + 1,
In Problem solve for the variable without using a calculator.log5 x = -1
In Problem use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p).p = 50 - 0.5x2,
In Problem find f′(x) 3 f(x) = 7Vx + x2
In Problem if it is possible to solve for y in terms of x, do so. If not, write “Impossible.” x2 y2 9. 16
In Problem solve for the variable to two decimal places.9827.30 = Pe0.025(3)
In Problem find(A) The derivative of F(x) S(x) without using the product rule, and (B) F′(x) S′(x).Note that the answer to part (B) is different from the answer to part (A).F(x) = x5, S(x) =
In Problem solve for the variable without using a calculator.y = log4 64
In Problem use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p).p = 125 -
In Problem find f′(x)f(x) = 5 - 6x5
In Problem solve for the variable to two decimal places.A = 3,000e0.07(10)
In Problem if it is possible to solve for y in terms of x, do so. If not, write “Impossible.”-4x2 + 3y + 12 = 0
In Problem find(A) The derivative of F(x) S(x) without using the product rule, and (B) F′(x) S′(x).Note that the answer to part (B) is different from the answer to part (A).F(x) = x3, S(x) =
In Problem solve for the variable without using a calculator.y = log3 81
In Problem use the given equation, which expresses price p as a function of demand x, to find a function f(p) that expresses demand x as a function of price p. Give the domain of f(p).p = 42 - 0.4x,
In Problem find f′(x)f(x) = x9 + 10x
In Problem solve for the variable to two decimal places.A = 1,200e0.04(5)
Use a calculator to evaluate A = 2,000e0.09t to the nearest cent for t = 5, 10, and 20.
In Problem if it is possible to solve for y in terms of x, do so. If not, write “Impossible.”3x + 2y - 20 = 0
In Problem find(A) The derivative of F(x) S(x) without using the product rule, and (B) F′(x) S′(x).Note that the answer to part (B) is different from the answer to part (A).F(x) = x4, S(x) =
In Problem evaluate the indicated limits if they exist. 2x Let f(x) Find Зх — 6' (A) lim f(x) (B) lim f(x) (C) lim f(x) X-00
In Problem refer to the following graph of y = f(x): lim f(x) = ? x2
Problem refer to the function f in the figure. Determine whether f is differentiable at the indicated value of x.x = 2 f(x) 4 -2 5
In Problem find the value(s) of x where the tangent line is horizontal.f(x) = 10x - x2
In Problem find all horizontal and vertical asymptotes. x' - 1 x³ - x? - x + 1 f(x) .3
Let f(x) = 1 - | x - 1| , 0 ≤ x ≤ 2 (see the figure). f(x) 1
The data in Table 2 give the U.S. consumption of natural gas in trillions of cubic feet.(A) Let x represent time (in years), with x = 0 corresponding to 1960, and let y represent the corresponding
Problem refer to the function.which is graphed in the figure. Sx² 8 - x if 0
Find dy if y = (1 - 2x) 3√x2.
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the total cost of producing 99 bicycles.
In Problem use the graph of f to estimate the indicated limits and function values.f(1.5) f(x) -5 -2
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the total cost of producing 100 bicycles.
In Problem use the graph of f to estimate the indicated limits and function values.f(2.5) f(x) -5 -2
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the cost of producing the 100th bicycle.
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the total cost of producing 199 bicycles.
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the total cost of producing 200 bicycles.
In Problem use the graph of f to estimate the indicated limits and function values.f(2.75) f(x) -5 -2
In Problem let g(x) = x2 and find the given values without using a calculator.g(0); g(0.1)
In Problem use the graph of f to estimate the indicated limits and function values.f(3.25) f(x) -5 -2
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the cost of producing the 200th bicycle.
In Problem let g(x) = x2 and find the given values without using a calculator.g(1); g(1.1)
In Problem use the graph of f to estimate the indicated limits and function values. (A) lim f(x) (B) lim f(x) (C) lim f(x) (D) f(1)
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the average cost per bicycle of producing 100 bicycles.
In Problem let g(x) = x2 and find the given values without using a calculator.g(10); g(10.1)
In Problem use the graph of f to estimate the indicated limits and function values. (A) lim f(x) (B) lim f(x) (C) lim f(x) (D) f(2)
In Problem let C(x) = 10,000 + 150x - 0.2x2 be the total cost in dollars of producing x bicycles.Find the average cost per bicycle of producing 200 bicycles.
In Problem let g(x) = x2 and find the given values without using a calculator.g(5); g(4.9)
In Problem find the marginal revenue function.R(x) = x(12 - 0.04x)
In Problem use the graph of f to estimate the indicated limits and function values. (A) lim f(x) (C) lim f(x) x-3 (B) lim f(x) x-3+ (D) f(3)
In Problem find the indicated quantities for y = f (x) = 5x2Δx, Δy, and Δy / Δx; given x1 = 1 and x2 = 4
In Problem find the indicated quantities for y = f (x) = 5x2 f(x1 + Ax) – f(x1), given x, = 2 and Ax = 1 Ax
In Problem find the indicated quantities for y = f (x) = 5x2 f(x1 + Ax) - f(x1). ; given x 1 and Ax = 2 Ax
In Problem find the marginal cost function.C(x) = 150 + 0.7x
In Problem use the graph of the function f shown in the figure to answer each question. (A) lim f(x) = ? (C) Is f continuous at x = 1? (B) f(1) = ?
In Problem find the marginal cost function.C(x) = 2,700 + 6x
In Problem use the graph of the function f shown in the figure to answer each question. (A) lim f(x) = ? (C) Is f continuous at x = 2? (B) f(2) = ? %3D
In Problem use the graph of the function f shown in the figure to answer each question. (A) lim f(x) = ? (C) Is f continuous at x (B) f(3) = ? = 3?
In Problem find the marginal cost function.C(x) = - (0.1x - 23)2
In Problem refer to the following graph of y = f(x): lim f(x) = ?
In Problem find the marginal cost function.C(x) = 640 + 12x - 0.1x2
In Problem refer to the following graph of y = f(x): lim f(x) = ? X -00
In Problem find the indicated quantities for y = f (x) = 5x2Δy/Δx; given x1 = 1 and x2 = 3
In Problem find the marginal revenue function.R(x) = 4x - 0.01x2
In Problem refer to the following graph of y = f(x): lim f(x) = ?
In Problem find the indicated quantities for y = f (x) = 5x2Δy/Δx; given x1 = 2 and x2 = 3
In Problem refer to the following graph of y = f(x): lim f(x) = ?
In Problem find the marginal revenue function.R(x) = 36x - 0.03x2
In Problem refer to the following graph of y = f(x):Identify any vertical asymptotes. f(x) 20+ --10+ -2 2 4 6 8 10 -10+
In Problem refer to the following graph of y = f(x): lim f(x) = ?
In Problem refer to the following graph of y = f(x):Identify any horizontal asymptotes. f(x) 20+ --10+ -2 2 4 6 8 10 -10+
In Problem find the marginal revenue function.R(x) = x(25- 0.05x)
In Problem refer to the following graph of y = f(x): lim f(x) = ?
In Problem find the marginal profit function if the cost and revenue, respectively, are those in the indicated problems.Problem 9 and Problem 13Problem 9In Problem find the marginal cost
In Problem find the marginal profit function if the cost and revenue, respectively, are those in the indicated problems.Problem 10 and Problem 14Problem 10In Problem find the marginal cost
In Problem find the marginal profit function if the cost and revenue, respectively, are those in the indicated problems.Problem 11 and Problem 15Problem 11In Problem find the marginal cost
In Problem refer to the following graph of y = f(x):Where is y = f(x) discontinuous? f(x) 20+ --10+ -2 2 4 6 8 10 -10+
In Problem find the marginal profit function if the cost and revenue, respectively, are those in the indicated problems.Problem 12 and Problem 16Problem 12In Problem find the marginal cost
In Problem find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x - 0.02x2, respectively.Average cost function
In Problem find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x - 0.02x2, respectively.Average revenue function
In Problem find f′(x) and simplify. f(x) = 2r/2 – 3x
In Problem find f′(x) and simplify. f(x) - 5x? + 1 3
In Problem find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x - 0.02x2, respectively.Marginal average cost function
In Problem evaluate dy and Δy for each function for the indicated values. y = S(x) = 75(1 - 2): x y = f(x) = 75( 1 ;x = 5, dx = Ax = -0.5 %3D
In Problem find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x - 0.02x2, respectively.Marginal average revenue function
Use the four-step process to find f′(x) for f(x) = 3x2 - 5.
In Problem find the indicated function if cost and revenue are given by C(x) = 145 + 1.1x and R(x) = 5x - 0.02x2, respectively.Profit function

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