Find the marginal cost for producing x units. C = 245,000 + 9700x dC dollars per unit %3D dx

Q: Calculate the amount of f S'(cosTx)x³ dx. (S' = ds, dx'

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Q: The cost of producing 5-galln water bottles is given by c(q)=0.005q2 +2q+1000 If 2000 5-gallon water…

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Q: Consider a company that has fixed costs of $8,300 and a marginal cost of $28 per item. What is the…

A: A company that has a fixed costs of $8,300 and a marginal cost of $28 per item.

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: -Find the average rate of change for y = xo = 1 %3D X1 = 2

A: Hello. Since your question has multiple parts, we will solve the first question for you. If you want…

Q: Locate the relative extrema of y = ln(x2 + 2x + 3).

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Q: Start with the graph of y = ln x. Find an equation of the graph thatresults from vertical…

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Q: The marginal cost of serving a typical additional client at a law firm can be modeled by dC 675…

A: Given Data The equation of the marginal cost is dC//dx=675-0.5x.   Integrate the equation of…

Q: Find for y = dx dx X [11tªdt. 0

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Q: Find the marginal profit for producing x units. P = -0.15x2 + 8000x – 1,050,000 dP dollars per unit…

A: Given: Differentiate ‘P’ with respect to ‘x’

Q: A company has a weekly marginal profit function given by P'(x) = 40x – 0.38a? – 251 dollars per item…

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Q: 2 Consider the impact function of a certain drug, I = 0.25D/100 – D, with I a percentage and D in…

A: We will find out the required value.

Q: Find the rate of change of total profit, in dollars, with respect to time where R(x) = 90x – 0.5æ2…

A: A detailed solution is given below

Q: A​ company's total​ cost, in millions of​ dollars, is given by ​C(t)=120−30e^−t where t=time in…

A: Given that, the company's total cost function isCt=120-30e-t. and t represents time in years.  In…

Q: 5. Calculate the average rate of change for the function ft) = 2x'+5 over the interva -1 < x < 2.

A: We have to find average rate of change

Q: osts per week for producing z night vision goggles is given by C (x) = 50 %3D roducing the 301st…

A: We have to choose the correct answer from the given options according to the given information

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: Given: The marginal revenue for selling the xth box of light bulbs is given by: 10+0.001x2e-x100 The…

Q: d'y If x =t-sint , and y=1-cost, find

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Q: Find the marginal revenue for producing x units. R = 70x – x2 dR dollars per unit %D dx

A: Given: the revenue function                R = 70x-x2

Q: The marginal profit obtained by selling x dollars of automobile insurance can be modelled by dP…

A: We will use the method of integration to calculate the change in profit.

Q: 1- Find the average rate of change for y == x, = 1 X = 2

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Q: Find d^2y/dx^2 x=5(t+sint), y=5(t-cost)

A: To determine the derivative of the parametric equation.

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: If F = 0.85 and MSE = 86, what is MST equal to?

A: The total variation present in a set of observable quantities may, under certain circumstances, be…

Q: Give a geometrical explanation of why

A: Consider the given integration as ∫aafxdx=0

Q: S Зх-7 dx 10х2+3x+11

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Q: 700x+30,000y=9xy-0.0004x^2-7y Find the rate of change of the number of hours with respect to the…

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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: E=メ (x)NIb=R TANGET Nge of EQUATION 12)

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Q: Find the marginal cost for producing x units. ( C = 100(9 + 3/x) dC dollars per unit dx II

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Q: If total revenue is R=50Q – 2Q2. At what value of Q will marginal revenue be 18?

A: Given revenue = 50Q - 2Q2 We have to find the value of Q if revenue is 18

Q: 2. Find the instantaneous rate of change for y= arctan- at x = 3. 2 12 A. 85 2 В. 13 3n D. 4 С. О

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Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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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: If total revenue is R = 50Q – 2Q². At what value of Q will marginal revenue be zero?

A: We know that marginal revenue is the slope of the total revenue. So to find marginal revenue, we…

Q: Find the rate of change of total revenue, cost, and profit with respect to time. Assume that R(x)…

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Q: 5. For a substance C, the timę rate of conversion iş proportional to the square of the

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Q: f(x)=x^3/2 Find average rate of change over interval [4,25]

A: The given function is

Q: The marginal revenue of the xth box of flash cards sold is 400e-0.003x dollars per box. Find the…

A: Given that the marginal revenue of the x-th box of flash cards sold is 400e-0.003x dollars per box.…

Q: marginal revenue

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Q: d'y If x=a (t-sint),y=a(1+cost) Find dx?

A: Given    x = a(t - sint),  y = a(1+cost) Firstly dy/dt and dx/dt will be calculated

Q: The marginal revenue of the xth box of flash cards sold is 300e−0.002x dollars per box. Find…

A: Given that the marginal cost: R'(x)=300e-0.002x To find the revenue generated by selling items 101…

Q: a manufacturer marginal revenue function of dr/dx=2000/√(4000-x) . if x is in rupees find the change…

A: Given: drdx=20004000-x

Q: Find the instantaneous rate of change for the function at the given value. F(x) = x2 + 3x at x = 8…

A: Given that Fx=x2+3x We have to find the instantaneous rate of change for the given function at x=8…

Q: The marginal revenue for selling the xth box of light bulbs is  10 + 0.001x2e−x/100.  Find the…

A: The marginal revenue is given by 10+0.001x2e-x100 Therefore the total revenue is given by…

Q: The marginal revenue of the xth box of flash cards sold is 300e-0.005x dollars per box. Find the…

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Q: dy 1 dx xlnx x²Inx

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Q: Find the marginal revenue for producing x units. 50( 40x – x³/2) R = dR dollars per unit dx

A: The marginal Revenue R=5040x-x32 The marginal Revenue for producing x units = dRdx

Q: The marginal cost of serving a typical additional client at a law firm can be modeled by…

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.