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college mathematics for business

Questions and Answers of College Mathematics For Business

In Problem find each indefinite integral. Check by differentiating. x dx
In Problem find the general or particular solution, as indicated, for each first-order differential equation. dy - Vx. y(0) = 0 %3D dx
Evaluate the integrals in Problem .3 5 dx
Find all antiderivatives of dy (A) dx dx 8x – 4x – 1 (B) = e' – 41-1 dt
Problem involve estimating the area under the curves in Figures A–D from x = 1 to x = 4. For each figure, divide the interval [1, 4] into three equal subintervals.Draw in left and right rectangles
In Problem find the general or particular solution, as indicated, for each first-order differential equation. dy -2re: y(0) = 3 dx
Evaluate the integrals in Problem x? dx 2.
In Problem find each indefinite integral and check the result by differentiating. (2r) dr 1 +x?
Problem involve estimating the area under the curves in Figures A–D from x = 1 to x = 4. For each figure, divide the interval [1, 4] into three equal subintervals.Using the results of Problem 15,
In Problem find each indefinite integral. Check by differentiating. x3 dx
Approximate ∫51 (x2 + 1) dx, using a right sum with n = 2. Calculate an error bound for this approximation.
In Problem find the general or particular solution, as indicated, for each first-order differential equation. dy = e-3; y(3) = -5 dx
Evaluate the integrals in Problem x² dx
Problem involve estimating the area under the curves in Figures A–D from x = 1 to x = 4. For each figure, divide the interval [1, 4] into three equal subintervals.Using the results of Problem 16,
In Problem find the general or particular solution, as indicated, for each first-order differential equation. dy dx 1 +x 2 y(0) = 5
In Problem find each indefinite integral and check the result by differentiating. Vi ī+x(4r³)dx
Evaluate the integrals in Problem 3 -dx
Use the following table of values and a left sum with n = 4 to approximate ∫171 f(x) dx: 1 9 13 17 f(x) 1.2 3.4 2.6 0.5 0.1
In Problem find each indefinite integral. Check by differentiating. 10x/2 dx
Problem involve estimating the area under the curves in Figures A–D from x = 1 to x = 4. For each figure, divide the interval [1, 4] into three equal subintervals.Replace the question marks with L3
In Problem find the general or particular solution, as indicated, for each first-order differential equation. dy 1 sy(0) = 1 %3D dx 4(3 - x)*
Evaluate the integrals in Problem .3
Find the average value of f(x) = 6x2 + 2x over the interval [-1, 2].
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) =
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval.f(x) = 100; [1, 6]
Find each integral in Problem | (6x + 3) dx
In Problem write each function as a sum of terms of the form axn, where a is a constant. 5 f(x) 4
In Problem use the chain rule to find the derivative of each function.f(x) = (5x + 1)10
In Problem perform a mental calculation to find the answer and include the correct units.Find the total area enclosed by 5 non-overlapping rectangles, if each rectangle is 8 inches high and 2 inches
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) =
In Problem use the chain rule to find the derivative of each function.f(x) = (4x - 3)6
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval.f(x) = -50; [8, 12]
Find each integral in Problem 20 5 dx 10
In Problem write each function as a sum of terms of the form axn, where a is a constant. 6. f(x)
In Problem perform a mental calculation to find the answer and include the correct units.Find the total area enclosed by 6 non-overlapping rectangles, if each rectangle is 10 centimeters high and 3
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) =
Find each integral in Problem (4 12) dt
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval.f(x) = x + 5; [0, 4]
In Problem use the chain rule to find the derivative of each function.f(x) = (x2 + 1)7
In Problem write each function as a sum of terms of the form axn, where a is a constant. Зх - 2 f(x) =
In Problem perform a mental calculation to find the answer and include the correct units.Find the total area enclosed by 4 non-overlapping rectangles, if each rectangle has width 2 meters and the
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) =
Find each integral in Problem 3t dt
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval.f(x) = x - 2; [-3, -1]
In Problem write each function as a sum of terms of the form axn, where a is a constant. x² f(x) + 5х — 1 5х- 1 ||
In Problem perform a mental calculation to find the answer and include the correct units.Find the total area enclosed by 5 non-overlapping rectangles, if each rectangle has width 3 feet and the
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) =
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval.f(x) = 3x; [-4, 4]
Find each integral in Problem "1 + u du
In Problem use the chain rule to find the derivative of each function.f(x) = ex2
In Problem write each function as a sum of terms of the form axn, where a is a constant. 5 f(x) = Vĩ + Vx
In Problem perform a mental calculation to find the answer and include the correct units.A square is inscribed in a circle of radius 1 meter. Is the area inside the circle but outside the square less
Find each integral in Problem -2r2 xe хе dx
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) =
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval. f(x) = V9 - x²;[-3,3]
In Problem write each function as a sum of terms of the form axn, where a is a constant. 4 f(x) = Vĩ - x,
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval.f(x) = -10x; [-100, 50]
In Problem use the chain rule to find the derivative of each function.f(x) = 6ex3
In Problem use geometric formulas to find the unsigned area between the graph of y = f(x) and the x axis over the indicated interval. f(x) = -V25 - x²;[-5, 5]
In Problem perform a mental calculation to find the answer and include the correct units.A square is circumscribed around a circle of radius 1 foot. Is the area inside the square but outside the
Problem refer to the rectangles A, B, C, D, and E in the following figure.Which rectangles are left rectangles? 15 10+ 5 B D E 10 15 20 25
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) = 1
In Problem use the chain rule to find the derivative of each function.f(x) = ln (x4 - 10)
In Problem write each function as a sum of terms of the form axn, where a is a constant.f(x) = 3√x (4 + x - 3x2)
Problem refer to the rectangles A, B, C, D, and E in the following figure.Which rectangles are right rectangles? 15 10+ 5 B D E 10 15 20 25
In Problem express the relationship between f'(x) and f(x) in words, and write a differential equation that f(x) satisfies. For example, the derivative of f(x) = e3x is 3 times f(x); y' = 3y.f(x) = 1
In Problem find the general or particular solution, as indicated, for each first-order differential equation. dy 6x dx
In Problem use the chain rule to find the derivative of each function.f(x) = ln (x2 + 5x + 4)
In Problem find each indefinite integral and check the result by differentiating. | (3r + 5)2(3) dr
In Problem write each function as a sum of terms of the form axn, where a is a constant.f(x) = √x (1 - 5x + x3)
In Problem(A) Calculate the change in F(x) from x = 10 to x = 15.(B) Graph F′(x) and use geometric formulas (see the endpapers at the back of the book) to calculate the area between the graph of
In Problem find each indefinite integral. Check by differentiating. 7 dx
In Problem match the indicated conditions with one of the graphs (A)–(D) shown in the figure.f′(x) > 0 and f″(x) < 0 on (a, b) f(x) f(x) f(x) fr) to to a a b. a a b. (A) (B) (C) (D)
Problem refer to the following graph of y = f(x):Identify the x coordinates of the points where f′(x) does not exist. fx) a d e
Problem refer to the graph of y = f(x) shown here. Find the absolute minimum and the absolute maximum over the indicated interval.[1, 9] f(x) 15 10 10
In Problem find the horizontal and vertical asymptotes. f(x) x + 3 x - 4
In Problem match the indicated conditions with one of the graphs (A)–(D) shown in the figure.f′(x) < 0 and f″(x) > 0 on (a, b) f(x) f(x) f(x) fr) to to a a b. a a b. (A) (B) (C) (D)
Find the dimensions of a rectangle with an area of 200 square feet that has the minimum perimeter.
Problem refer to the following graph of y = f(x):Identify the x coordinates of the points where f(x) has a local maximum. fx) a d e
In Problem find the horizontal and vertical asymptotes. 2x – 7 f(x) 3x + 10
Problem refer to the graph of y = f(x) shown here. Find the absolute minimum and the absolute maximum over the indicated interval.[0, 2] f(x) 15 10 10
In Problem match the indicated conditions with one of the graphs (A)–(D) shown in the figure.f′(x) < 0 and f″(x) < 0 on (a, b) f(x) f(x) f(x) fr) to to a a b. a a b. (A) (B) (C) (D)
Problem refer to the following graph of y = f(x):Identify the x coordinates of the points where f(x) has a local minimum. fx) a d e
Problem refer to the graph of y = f(x) shown here. Find the absolute minimum and the absolute maximum over the indicated interval.[2, 5] f(x) 15 10 10
Find the dimensions of a rectangle with a perimeter of 148 feet that has the maximum area.
In Problem find the x and y coordinates of all inflection points.f(x) = x4 - 12x2
Problem refer to the graph of y = f(x) shown here. Find the absolute minimum and the absolute maximum over the indicated interval.[5, 8] f(x) 15 10 10
In Problem find the indicated derivative for each function.f″(x) for f(x) = 2x3 - 4x2 + 5x - 6
In Problem find the x and y coordinates of all inflection points.f(x) = (2x + 1)1/3 - 6
A company manufactures and sells x smartphones per week. The weekly price–demand and cost equations are, respectively,p = 500 - 0.4x and C(x) = 20,000 + 20x(A) What price should the company charge
In Problem find (A) f′(x), (B) the partition numbers for f′, and (C) the critical numbers of f.f(x) = x1/5
In Problem find the absolute maximum and absolute minimum of each function on the indicated intervals.f(x) = 2x - 5(A) [0, 4] (B) [0, 10] (C) [-5, 10]
In Problem find the indicated derivative for each function.h″(x) for h(x) = 2x-1 - 3x-2
In Problem find (A) f′(x), (B) the partition numbers for f′, and (C) the critical numbers of f.f(x) = x-1/5
In Problem find the absolute maximum and absolute minimum of each function on the indicated intervals.f(x) = 8 - x(A) [0, 1] (B) [-1, 1] (C) [-1, 6]
In Problem summarize all the pertinent information obtained by applying the final version of the graphing strategy and sketch the graph of f.f(x) = x3 - 18x2 + 81x
In Problem find the absolute maximum and absolute minimum of each function on the indicated intervals.f(x) = x2(A) [-1, 1] (B) [1, 5] (C) [-5, 5]
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). x + 3 f(x) X - 3
In Problem find the indicated derivative for each function.d2y/dx2 for y = x2 - 18x1/2
In Problem summarize all the pertinent information obtained by applying the final version of the graphing strategy and sketch the graph of f.f(x) = (x + 4) (x - 2)2

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