I. Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following: %3D 1. f(g(-3)) 2. f(h(7)) 3. g(h(24))

Q: Suppose that w varies directly as x and the square of y and inversely as the square oot of z. If x…

A: Given query is to find percentage increase in w when indicated percentage increase happened in…

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Given MPC = 0.7Y+ 0.2 and C= 50 when Y = 0. What is the consumption function? %3D

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Q: Suppose that f(x) dx = 5. Calculate (4f(x) + 3) dæ-

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Q: Find P(2 < X < 5) using the cumulative function given by

A: The P(a ⩽ X &lt; b) can be obtained using cumulative function as P(a ⩽ X &lt; b)= F(b) - F(a)

Q: Find the consumer's surplus if the demand for an item is given by D(x) = 72- x, assuming supply and…

A: solve the following

Q: Consider the following. = -0.1s3 + 6s² + 400 Find the amount s of advertising (in thousands of…

A: The point of diminishing returns refers to the inflection point of a return function or the maximum…

Q: Find the linear approximation to f(x)=x2+1x−2 near a=3.

A: Given: f(x) = x2 +1x − 2; a = 3

Q: Find E(X) X  0 1 2 3 P(X) 0.2 0.4 0.2 0.2 Use Excel

A: The probability distribution is: X P(X) 0 0.2 1 0.4 2 0.2 3 0.2

Q: Graph the function f(x) = u₂(x) ln x + u5(x) (ln(10 − x) – In x) -

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Q: If u = 3x' – 6x, find the percentage error in u at x = 1, if the error in x is 0-05.

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Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: An efficiency study of the morning shift at a factory indicates that an average worker arriving on…

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Q: in an intramural basketball league for men, the gas 12-rizal has won 12 out of 25 games. express a…

A: they want to win 3 game in a row to meet 60% detailed solution with explanation is given below

Q: f(x) : 4 6 5

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Q: If f(x) = ln ( v3x² +5 ), what is f'(x)?

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Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

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Q: If f(x) =3 ln x and g(x) = e2 , find go f(x). %3D

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Q: Find [f(x) + 5g(x)]dx if 6. f(x)dx = 4 and g(x)dx = -5. juo 6. f(x) + 5g(x)]dx -3

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Q: Let f(x)= 2x ; 0<x<1. Find E(3X+5)

A: Given, f(x)=2x   ;0&lt;X&lt;1

Q: Write the formula for the cost function C(x) in terms of R(x) and P(x).

A:

Q: Calculate L4 for f(x)=57cos⁡(x^2) over [2π/4,2π/2].

A: Given, f(x)=57cos(x2)   over [2π4,2π2] f(x)=57cos(x2)   over [π2,π]

Q: Find the most general antiderivative of the function. f(x)= 8x-11/10

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Q: If the total revenue function for a blender is R(x) = 84x − 0.01x2 where x is the number of units…

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Q: An investment of 6,000 grows at a rate of 4% for one year, then at a rate of 9% for three years.…

A: Investment amount = 6000 Rate of return for first year = 4% Rate of return for three years = 9% * 3…

Q: If f(x) = 4x² ln(7x), then %3D f'(x) = f" (x) = f" (x) =

A: The given function is: f(x)=4x2ln(7x) so, f'(x)=4x2ddx(ln(7x))+ln(7x)ddx(4x2)…

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A: To determine the percent of susceptible that had been infected after 6 weeks.

Q: Compare the values of Ay and dy if f(x) = x³ + x². 2x + 1 - æ is changes from 2 to 2.05.

A:

Q: The following are the prices of shares of XYZ Co. Ltd. from Monday Price Day Thursday Price 200 160…

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Q: Consider the following model for Malaysia from year 2009 to 2018. Y = 15.2689+0.8546 X, – 0.3259 X;…

A: Let Y: Consumption expenditure(RM) X1: Income(RM) X2: Wealth(RM) n=10 Since R2 value=0.9985 implies…

Q: A manufacturer of flashbulbs knows that 5 percent of his product is defective. Suppose he will…

A: Question: A manufacturer of flashbulbs knows that 5 percent of his product is defective. Suppose he…

Q: e. f(x) = 2* DA. O(x²) B. 2(x²) Oc. O(x²) . f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²)…

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Q: Find the family of antiderivatives of f(x) = 3e3x.

A: The given function is fx=3e3x. We have to find the family of antiderivatives of fx=3e3x. We know…

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A: Given that  The function  To find the area between the graphs from x=0 to x=10

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Q: A species of butterflies is calculated to triple the size of its population every year. Which of the…

A: Current number of butterflies=1500

Q: Find the antiderivative of f(x)=2x/(x^2+1)

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Q: If FIX) is an antiderivative of x-2 + x1, then what is the value of F(1) - F(-1)? A) 3 (в) -2 -1

A: Solved below

Q: Find G'(x). In(9) G(x) = (4e- 7t + 1) dt G'(x) =

A: Given query is to find the derivative of the expression.

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A: the number of people with Alzheimer's disease in the USA ae 65 years and over is projected to be…

Q: Compute f xT+ x² dx 3

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Q: Let C be the cost to produce x batches of widgets, and let Rix) be the revenue in thousands of…

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Q: Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost…

A: Total Cost function is given as , Cx=0.01x2+0.6x+20 find ∆C and C'x when x=40 and ∆x=1.

Q: ion of a city in 2000 was 900,000 while the at demographic studies show that each ye ile 3% of the…

A: Given,   City Suburbs of the city Population in the year 2000 900,000 400,000

Q: Compute f(x) and f(x) dx for the function f(x) = ∞  ∑…

A: f(x)=∑n=0∞x2n2n !.....(1)This is the well known series of the cosh(x)cosh(x)=∑n=0∞x2n2n !Now as we…

Q: If the average cost per unit C(x) to produce x units of plywood is given by C(x) = 300/x+10 , what…

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Q: Find f(0) iff (x) et?

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Q: How can we show that  f(t)=e4t-3t^2 is not an mgf?

A: For any Random Variable,  Var(X) &gt; 0 Now We know, E(Xr) = f(r)(t) |t=0 Where f(r)(t) denotes r th…