Find a function g = g(t) such that %3D s +3 L(g) = s2 – 2s + 5 -

Q: Suppose that a political campaign by Loki estimates that the candidate's polling percentage y and…

A: (a) We have y = e0.3x+(5ln x)2 Here we need to find the value of x when y = 2%

Q: Show that the two functions yn = Aet (interest compounding) and y2 Aet (discounting) are mirror…

A: Mirror image with reference to y-axis: Given a function f(x), a new function g(x)=f(−x) is a…

Q: From the beginning of the year 2000, the annual world demand for oil has increased. To account for…

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Q: Suppose the amount of a certain drug in the bloodstream is modeled by C(t)=8te-0.2t ,then the…

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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 profit funchtion for the given marginal profit and initial condition. Marginal Profit dP/dx…

A: Integrate it

Q: If a substance is injected into the bloodstream, the percent of the maximum dosage that is present…

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

A: According to question given thatC=0.001x3+9x+128We have to calculate the number of units that…

Q: Find the maximum sustainable harvest of the given function. f(S) = 24S025, where S is measured in…

A: Consider the given function fS=24S0.25 , where S is measured in thousands Suppose HS be the harvest…

Q: 3. For g(x) = x² - 5x + 8, find the average rate of change on the interval [1, 6].

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Q: Consider choosing x and y to maximise -x-3y, while 1 3y In(3x) + In 3 3 cannot fall below 1.4. What…

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Q: For function f (x, y) y? x2+1 Find the maximum rate of decrease of f at the point (1, 2)

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Q: Find the point of diminishing returns for the profit function where x is the amount spent on…

A: Given, p(x)=5x+30x2-2.5x3  Here x represents the amount spent on marketing in million dollars. Since…

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Find number of units X that produces a maximum revenue R. R=99x^2 - 0.06x^3

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Q: Q18. The marginal propensity to consume (in billins of nupees) is = = 0.6 + d: 0.5 dx 2r1/2 when…

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

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Q: Find the relative maximum and minimum values. f(xy) = e 6x2 + 4y2 + 8

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Q: C = 36Vx – 16 + 120 Find the marginal cost C' when x=4.

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Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 16 x = 180 when p = $5…

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Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The given equation is Ct=8e-0.4t-e-0.6t. Equate the derivative of C to zero as follows:…

Q: 3 Differentiate y = 3t +²- cost+e' . t

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Q: Find the supply function x = f(p) that satisfies the initial conditions. dx 10 x = 140 when p = $5…

A: Here, dxdp=10p-5⇒dx=10p-5dp⇒∫dx=10∫1p-5dp+C...(1)

Q: Find the relative maximum and minimum values. f(xy) = 4x - 2y?

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Q: Find the relative extrema for f(x) = x* + 32a²

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Q: (e) Find the net change in h between x = -3 and x = 3. %3D

A: Explanation of the answer is as follows

Q: Find the marginal profit for producing x units. ( P = -0.3x³ + 10x² – 168.45x - 3000 dP dollars per…

A: Marginal profit is the measure of the increment of the profit function for unit increment of x, at a…

Q: Find the demand function x = f(p) that satisfies the initial conditions. dx 800 x = 20,000 when p =…

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Q: · Suppose that t hours after the injection of x milligrams of adrenalin the response is R units…

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Q: Graph the function ƒ(x) = 8 + 2x - x2 anddetermine the values of a and b that maximize the value of…

A: Consider the function  ƒx=8+2x−x2

Q: A company determines that its total cost, in thousands of 3x rands, for producing x items is C =…

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Q: A satellite radio station is launching  an aggressive advertising campaign  in  order to increase…

A: Initially, the value of the listeners is given as 27,000.   The growth rate of the S(t) is given as:

Q: Consider the cost function C(x) = −x^3 + 10x^2 + 20x. Find the maximum of the average cost function.

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Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

A: Rt=10t5t2+4

Q: The sales of a product produces revenue R(x) where x represents the amount spent on advertising.…

A: Solution :-

Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

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Q: Given the revenue function R(x) = x³ + 3x2 +x .Find the average revenue of producing 100 units. %3D

A: Given the revenue function, R(x), the average revenue of producing 100 units is R(100)100

Q: In some chemical reactions,the rate at which the amount of a substance changes with time…

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Q: Find the average rate of change of g (x) = 2x - 8x from x=2 to x= 6. Simplify your answer as much as…

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Q: Find the values of x for which y is increasing most rapidly or decreasing most rapidly. 112 Let y =…

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Q: Find the value of x for which the marginal profit is zero. C (x) = 2x, R(x) = 6x – 1,000

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Q: Find the average cost function if cost and revenue are given by C(x) = 142 + 5.4x and R(x) = 8x -…

A: Given :

Q: Find the number of units x that produces the minimum average cost per unit C in the given equation.…

A: Here we have to find the number of units x that produces the minimum average cost per unit C¯ in the…

Q: When no more than 110 units are produced, the cost of producing y units is given by C(x) C(x) =…

A: Given that, Average cost=C(x)  /  x

Q: n the United States, the percentage of adults (age 20–74) classified as obese held steady through…

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Q: The yield in bushels from a grove of orange trees is given by Y = x(1000 − x), where x is the…

A: Rewrite the given function as Y=1000x-x2. Compare the above function with the quadratic function…

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

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Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

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Q: A factory is discharging pollutants at a rate of R(t)=120 gal/day. Using enzymes and other remedies,…

A: Given- A factory is discharging pollutants at a rate of Rt = 120 gal/day. Using enzymes and other…