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mathematics
college mathematics for business

Questions and Answers of College Mathematics For Business

In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = -x3 - 2x - 5
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = x3 - 3x + 5
Find each limit in Problem. In (x- 1) lim- x2 x - 1
In Problem find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the x, y coordinates of the inflection points.f(x) = 4e3x - 9e2x
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = -x3 + 3x + 7
In Problem find the intervals on which the graph of f is concave upward, the intervals on which the graph of f is concave downward, and the x, y coordinates of the inflection points.f(x) = 16e3x -
Find each limit in Problem. In (1 + x2) lim
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). -5x f(x) (x – 1)2
In problem use the given sign chart to sketch a possible graph of f. f'(x) + + + + + +0 0 + + + + + + 2 ........ ......
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = -3x3 - 9x2 + 72x + 20
In problem use the given sign chart to sketch a possible graph of f. f'(x) 0 + +++ + + + + + 0
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). x* + x - 2 f(x) x²
Find each limit in Problem. In(1 + Vx) lim
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = 3x3 + 9x2 - 720x - 15
In problem use the given sign chart to sketch a possible graph of f. f"(x) + + + + + ND + + + + + + + + + + 2... .......
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = x4 + 4x3 + 30
In problem use the given sign chart to sketch a possible graph of f. f" (x) ND + + + + + + + + 3 X
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). x2 f(x) X - 1
Find each limit in Problem. x? + lim 2r + 1 x-2 x2 + x + 1
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = x4 - 8x3 + 32
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = (x + 3)ex
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). 3x2 - 2 f(x) .2 — 9
Find each limit in Problem. x + x? - x – 1 lim .3 x-1x + + 4x2 + 5x + 2
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). f(x) x - 2
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = (x + 2)ex
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = (x2 - 4)2/3
Find each limit in Problem. x - 12x + 16 lim 2-6x + 12x - 8
In Problem find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema.f(x) = (x2 - 4)1/3
In Problem find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines.f(x) = 4 + 8x - x2
Find each limit in Problem. 3x2 + 5x lim 4x + 7 4r3
In Problem find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines.f(x) = x3 - 3x + 1
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = (3 - x)ex
Find each limit in Problem. lim 2x
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = (x - 2) (x2 - 4x - 8)
In Problem find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines.f(x) = 10 - 12x + 6x2 - x3
Find each limit in Problem. 1 + e* lim *1 + x?
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = e-0.5x2
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = (x + 1) (x2 - x + 2)
In Problem find the intervals on which f(x) is increasing and the intervals on which f(x) is decreasing. Then sketch the graph. Add horizontal tangent lines.f(x) = x4 - 18x2
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = x2 ln x
Find each limit in Problem. e lim In (1 + 4e*)
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = -0.25x4 + x3
In Problem use a graphing calculator to approximate the critical numbers of f(x) to two decimal places. Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). 1 f(x) x? + 2x – 8
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = (ln x)2
Find each limit in Problem. -ex - 2r et lim- .3
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = 16x(x - 1)3
In Problem n is a positive integer. Find each limit. In x lim x" オ→の
In Problem use a graphing calculator to approximate the critical numbers of f(x) to two decimal places. Find the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). x + 3x + 2 f(x) x + 2x + 1
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = (x2 + 3) (9 - x2)
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). f(x) %3D 3 - x?
In Problem show that the line y = x is an oblique asymptote for the graph of y = f(x), summarize all pertinent information obtained by applying the graphing strategy, and sketch the graph of y =
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = (x2 - 4)2
In Problem show that the line y = x is an oblique asymptote for the graph of y = f(x), summarize all pertinent information obtained by applying the graphing strategy, and sketch the graph of y =
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = 2x6 - 3x5
In Problem n is a positive integer. Find each limit. et lim ex"
Find all horizontal asymptotes for each function in Problem. e2 + 10 f(x) %3D e - 1
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = 1 - e-x
In Problem for the given cost function C(x), find the oblique asymptote of the average cost function C(x).C(x) = 10,000 + 90x + 0.02x2
Find all horizontal asymptotes for each function in Problem. 10- е e f(x) -2r 1 + e
In Problem for the given cost function C(x), find the oblique asymptote of the average cost function C(x).C(x) = 7,500 + 65x + 0.01x2
Problem involve functions f1-f6 and their derivatives, g1-g6 . Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj.f1
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = e0.5x + 4e-0.5x
Find all horizontal asymptotes for each function in Problem. 3e + 1 f(x) 5e - 1
Problem involve functions f1-f6 and their derivatives, g1-g6 . Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj.f2
In Problem for the given cost function C(x), find the oblique asymptote of the average cost function C(x).C(x) = 95,000 + 210x + 0.1x2
Find all horizontal asymptotes for each function in Problem. 4e 10 f(x) 2e + 2
In Problem for the given cost function C(x), find the oblique asymptote of the average cost function C(x).C(x) = 120,000 + 340x + 0.4x2
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = -4 + 2 ln x
Problem involve functions f1-f6 and their derivatives, g1-g6 . Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj.f3
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). x? - 1 f(x) x? - x - 2 ||
Problem involve functions f1-f6 and their derivatives, g1-g6 . Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj.f4
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). х — 4 f(x) x? - х - 2
Problem involve functions f1-f6 and their derivatives, g1-g6 . Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj.f5
In Problem summarize the pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x).f(x) = ln(x + 4) - 2
Problem involve functions f1-f6 and their derivatives, g1-g6 . Use the graphs shown in figures (A) and (B) to match each function fi with its derivative gj.f6
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). Зх + 2 х2 — 4х + 4 f(x)
In Problem use the given graph of y = f′(x) to find the intervals on which f is increasing, the intervals on which f is decreasing, and the x coordinates of the local extrema of f. Sketch a
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). 2x2 + 5x – 12 f(x) x? + x - 12
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). 2x? - х- 15 f(x) x² + 2х — 15
In Problem use the given graph of y = f′(x) to find the intervals on which f is increasing, the intervals on which f is decreasing, and the x coordinates of the local extrema of f. Sketch a
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). x + 4x2 - 21x f(x) x? – 2x – 3
In Problem summarize all pertinent information obtained by applying the graphing strategy and sketch the graph of y = f(x). x3 + 7x? 18x f(x) x² + 8x – 9
In Problem use the given graph of y = f′(x) to find the intervals on which f is increasing, the intervals on which f is decreasing, and the x coordinates of the local extrema of f. Sketch a
In Problem use the given graph of y = f(x) to find the intervals on which f′(x) > 0, the intervals on which f′(x) < 0, and the values of x for which f′(x) = 0. Sketch a possible graph of
One commonly used measure of inflation is the annual rate of change of the Consumer Price Index (CPI). A TV news story says that the annual rate of change of the CPI is increasing. What does this say
In Problem use the given graph of y = f(x) to find the intervals on which f′(x) > 0, the intervals on which f′(x) < 0, and the values of x for which f′(x) = 0. Sketch a possible graph of
An outboard motor has an initial price of $3,200. A service contract costs $300 for the first year and increases $100 per year thereafter. The total cost of the outboard motor (in dollars) after n
In Problem find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. Do not graph. f(x) = x + -
Another commonly used measure of inflation is the annual rate of change of the Producer Price Index (PPI). A government report states that the annual rate of change of the PPI is decreasing. What
In Problem find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. Do not graph. 9. f(x) + X
The marketing research department of a computer company used a large city to test market the firm’s new laptop. The department found that the relationship between price p (dollars per unit) and the
A doctor prescribes a 500 mg pill every eight hours. The concentration of the drug (in parts per million) in the bloodstream t hours after ingesting the pill is(A) Graph C(t).(B) What is the
A doctor prescribes a 1,000 mg pill every twelve hours. The concentration of the drug (in parts per million) in the bloodstream t hours after ingesting the pill is(A) Graph D(t).(B) What is the
In Problem find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. Do not graph.f(x) = ln (x2 + 1)
In Problem find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. Do not graph.f(x) = ln (x2 + 3)
In Problem find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. Do not graph. x2 f(x) x - 2
A dairy is planning to introduce and promote a new line of organic ice cream. After test marketing the new line in a large city, the marketing research department found that the demand in that city
In Problem find the critical numbers, the intervals on which f(x) is increasing, the intervals on which f(x) is decreasing, and the local extrema. Do not graph. x? f(x) x + 1

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