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college mathematics for business economics

Questions and Answers of College Mathematics For Business Economics

Graph Problems 59–62 on a graphing calculator, and identify each curve as unlimited growth, exponential decay, limited growth, or logistic growth: p = 500e 0.03x; 0≤x≤ 100,0 ≤p ≤ 500
Graph Problems 59–62 on a graphing calculator, and identify each curve as unlimited growth, exponential decay, limited growth, or logistic growth:N = 50(1 e-007t); 0 ≤ t ≤ 80, 0 ≤ N ≤ 60
Graph Problems 59–62 on a graphing calculator, and identify each curve as unlimited growth, exponential decay, limited growth, or logistic growth: A 200e0.08; 0 ≤t≤ 20,0 ≤A≤ 1,000
Graph Problems 59–62 on a graphing calculator, and identify each curve as unlimited growth, exponential decay, limited growth, or logistic growth: N = 100 1 + 9e-0.31 0 ≤ ≤ 25,0 ≤ N≤ 100
The population of Mexico was 116 million in 2013 and was growing at a rate of 1.07% per year, compounded continuously.(A) Assuming that the population continues to grow at this rate, estimate the
In Problems 33–36,(A) Find Δy and dy for the function f at the indicated value of x. (B) Graph Δy and dy from part (A) as functions of Δx. (C) Compare the values of Δy and dy from part (A) at
In Problems 33–36,(A) Find Δy and dy for the function f at the indicated value of x. (B) Graph Δy and dy from part (A) as functions of Δ x. (C) Compare the values of Δ y and dy from part (A)
In Problems 9–20, find the general or particular solution, as indicated, for each first-order differential equation. dy dx 3x-2
In Problems 9-34, find f'(x) and simplify.f(x) = x3 ln x
In Problems 9–20, find the general or particular solution, as indicated, for each first-order differential equation. dy dx 7 X
Evaluate the integrals in Problems 13–32. 10 So 0 4 dx
Evaluate the integrals in Problems 13–32. .8 9x dx
Evaluate the integrals in Problems 13–32. .6 0 x dx
Evaluate the integrals in Problems 13–32. 4 S x²³ dx X
Evaluate the integrals in Problems 13–32. 4 (5x + 3) dx
Evaluate the integrals in Problems 13–32. L² (2x. 2 (2x - 1) dx
Evaluate the integrals in Problems 13–32. S 0 et dx
Evaluate the integrals in Problems 13–32. 2 S²4 0 4e* dx
Evaluate the integrals in Problems 13–32. 2 S² - dx X
In Problems 21–24, give the order (first, second, third, etc.) of each differential equation, where y represents a function of the variable x. xy' + y² = et
Evaluate the integrals in Problems 13–32. L₁ -2 (x³ + 7x) dx
In Problems 23–26, calculate the indicated Riemann sum Sn for the function f(x) = 25 - 3x2 .Partition [-2, 8] into five subintervals of equal length, and for each subinterval [xx-1, xk], let ck =
In Problems 21–24, give the order (first, second, third, etc.) of each differential equation, where y represents a function of the variable x. y"3y" + 3y - y = 0
Evaluate the integrals in Problems 13–32. Le 2 (2x +9) dx
In Problems 23–26, calculate the indicated Riemann sum Sn for the function f(x) = 25 - 3x2 .Partition [0, 12] into four subintervals of equal length, and for each subinterval [xk-1, xk], let Ck =
Evaluate the integrals in Problems 13–32. S 5 (2x + 9) dx
In Problems 27–30, calculate the indicated Riemann sum Sn for the function f(x) = x2 - 5x - 6.Partition [0, 3] into three subintervals of equal length, and let C1 = 0.7, C2 = 1.8, and c3 = 2.4.
In Problems 27–30, calculate the indicated Riemann sum Sn for the function f(x) = x2 - 5x - 6.Partition [0, 3] into three subintervals of equal length, and let C1 = 0.2, C2 = 1.5, and c3 = 2.8.
Evaluate the integrals in Problems 13–32. [² 2 (6 - x³) dx
In Problems 27–30, calculate the indicated Riemann sum Sn for the function f(x) = x2 - 5x - 6.Partition [1, 7] into six subintervals of equal length, and let C1 = 1, C2 = 3, C3 = 3, C4 = 5, C5 = 5,
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B C d cD X Area A = 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
In Problems 27–30, calculate the indicated Riemann sum Sn for the function f(x) = x2 - 5x - 6.Partition [1, 7] into six subintervals of equal length, and let C1 = 2, C2 = 2, C3 = 4, C4 = 4, C5
Evaluate the integrals in Problems 13–32. -3 -3 (x² + 4x + 2) s dx
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. S² 1 (2x-2-3) dx
Evaluate the integrals in Problems 33–48. S (5 16x-³) dx
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Problems 33–38 refer to the following slope fields: Solve the differential equation dy/dx = x - 1 and find the particular solution that passes through (0, -2). II *** (A) 111111 Figure for
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. 1 3√x dx
Evaluate the integrals in Problems 33–48. -25 4 2 Vx =dx
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. [₁ 2 12(x² - 4)5x dx
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. [ 32 (x² + 1)²x dx 0
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. +9 1 3 x-1 S₁²= -dx
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. √₂x+1 x + 1 -dx
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. 10 -5 -0.05x dx
In Problems 31–42, calculate the definite integral by referring to the figure with the indicated areas. A b a B 24 C d c\D X Area A 1.408 Area B = 2.475 Area C= 5.333 Area D = 1.792
Evaluate the integrals in Problems 33–48. -25 -0.01.x e J-10 dx
In Problems 43–54, calculate the definite integral, given that 61 dx [xdx = 7.5 [2²dx=21 [x² * = 3
Evaluate the integrals in Problems 33–48. ne In t - dt t 1
In Problems 43–54, calculate the definite integral, given that x dx = 7.5 61 [x² dx =21 2² dx =91 3
Evaluate the integrals in Problems 33–48. [² (In t) t -dt
Evaluate the integrals in Problems 33–48. [xe 0 xe-r Xe dx
Evaluate the integrals in Problems 33–48. 0 1 xe dx
Evaluate the integrals in Problems 33–48. Le dx en
Evaluate the integrals in Problems 33–48. [ -1 e-² dx е
In Problems 43–54, calculate the definite integral, given that x dx = 7.5 61 [x² dx = 21 [2dx = 91 3
In Problems 43–54, calculate the definite integral, given that x dx = 7.5 61 [x² dx = 21 2² dx = 91 3
In Problems 55–60, discuss the validity of each statement. If the statement is always true, explain why. If it is not always true, give a counterexample. If fof(x) dx = 0, then f(x) = 0 for all x
Graph the particular solution found in Problem 53 in the appropriate Figure A or B (or a copy).Data in Problem 53Show that y = 1 - Ce-x is a solution of the differential equation dy/dx = 1 - y for
In Problems 55–60, discuss the validity of each statement. If the statement is always true, explain why. If it is not always true, give a counterexample. If f(x) = 0 for all x in [a, b], then ff(x)
Evaluate the integrals in Problems 57–62. [x J2 2x²-3 dx xV2x²
Evaluate the integrals in Problems 57–62. [x√3 0 x√3x² + 2 dx
Evaluate the integrals in Problems 57–62. S x² x 1 -dx 2x + 3
Evaluate the integrals in Problems 57–62. J x + 1 2x² + 4x + 4 -dx
Evaluate the integrals in Problems 57–62. et - et е Lo . et)2dx -1 (e¯* + e¹) ²
Problems 63 refer to the following figure: f(x) 5 -5+ f(x) = 0.25x² - 4 5 Figure for 63 and 64 ·x
Evaluate the integrals in Problems 57–62. In (15) t-5 6 dt
Use a numerical integration routine to evaluate each definite integral in Problems 63–66 (to three decimal places). 1 L'e -1 et dx
Problems 64 refer to the following figure: f(x) 5 −5+ f(x) = 0.25x² - 4 5 Figure for 63 and 64
Use a numerical integration routine to evaluate each definite integral in Problems 63–66 (to three decimal places). 1 J-21 + + x² dx
Use a numerical integration routine to evaluate each definite integral in Problems 63–66 (to three decimal places). So 0 V9 - x² dx
For Problems 65–68, use a graphing calculator to determine the intervals on which each function is increasing or decreasing.f(x) = e-x2
For Problems 65–68, use a graphing calculator to determine the intervals on which each function is increasing or decreasing.f(x) = x4 - 2x2 + 3
Given the supply functionFind the average price (in dollars) over the supply interval [20, 30]. P = S(x) Р 10(e0.02x1)
If the temperature in an aquarium (in degrees Celsius) is given by Over a 2-hour period, what is the average temperature over this period? C(t) = t³ 2t + 10 0≤1≤2
For Problems 65–68, use a graphing calculator to determine the intervals on which each function is increasing or decreasing.f(x) = ex2
In Problems 45–60, find the indicated derivative and simplify. y' if y = 3(x² - 2) 4
In Problems 39–46, find the logarithmic derivative. f(x) = x2 ex
In Problems 45–60, find the indicated derivative and simplify. y' if y= 2(x³ +6)5
In Problems 47–50, use the price–demand equation to determine whether demand is elastic, is inelastic, or has unit elasticity at the indicated values of p. x = f(p) = 12,000 - 10p² (A) p =
A model for the average daily revenue of a hotel t days after opening is.Where f(t) is in thousands of dollars. Find the relative rate of change of revenue after 21 days. f(t) = 200 + 151²
In Problems 45–60, find the indicated derivative and simplify. d 음2(P + 31)-3 -2 dt
In Problems 47–56, find the indicated derivatives and simplify. f'(x) for f(x) = (2x + 1)(x² - 3x)
In Problems 47–50, use the price–demand equation to determine whether demand is elastic, is inelastic, or has unit elasticity at the indicated values of p. x = f(p) = 1,875 - p² (A) p = 15 (C) p
In Problems 47–56, find the indicated derivatives and simplify. y' for y = (x³ + 2x²) (3x −1)
In Problems 47–50, use the price–demand equation to determine whether demand is elastic, is inelastic, or has unit elasticity at the indicated values of p. x = f(p) = 950 - 2p - 0.1p² (A) p =
In Problems 45–60, find the indicated derivative and simplify. dh dw if h(w) = Vw² + 8
In Problems 47–56, find the indicated derivatives and simplify. dy dt for y= (2.5t ²) (4t + 1.4)
In Problems 47–50, use the price–demand equation to determine whether demand is elastic, is inelastic, or has unit elasticity at the indicated values of p. x = f(p) (A) p = 50 (C) p = 100 875 - p
In Problems 45–60, find the indicated derivative and simplify. dg dw if g(w) = V3w - 7
In Problems 47–56, find the indicated derivatives and simplify. dt [(3-0.41³) (0.51²-21)]
In Problems 45–60, find the indicated derivative and simplify. g'(x) if g(x) = 4xe³x
In Problems 47–56, find the indicated derivatives and simplify. y' for for y y = 5x 5r x² + 2x – 3

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