If f(x) = x² + x + 3 and g(x) = x – 4, find the %3D (a) f + g

Q: If the profit function is  p(x)=-0.5(x-90)^2-50x+3850 what is the profit when producing 40 items?…

A: Consider the given function px=-0.5x-902-50x+3850

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

A:

Q: Find the average cost function if cost and revenue are given by C(x) = 157 + 2.7x and R(x) = 4x…

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Q: The total revenue function for a product is given by R=510x dollars, and the total cost function for…

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Q: Find the average cost function if cost and revenue are given by C(x) = 164 +8.9x and R(x) = 3x…

A: Given;  C(x)=164+8.9x R(x)=3x-0.07x2.

Q: Find the profit function in terms of x p=250-x/50 C(x)=20,000+40x

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Q: Calculate y e-(x-3)-

A: Given,            y=e-x-3-x

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: This week a factory is producing 50 units of a particular commodity, and the amount being produced…

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Q: A company estimates that it will sell N(x) units of a product after spending $x thousand on…

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Q: Stuffco Industries makes model airplanes and wants to know their average cost and revenue at a…

A: Definition used-             Average cost -                          C-(x)=C(x)x           Average…

Q: Find the critical points of the functionf (x) = 4x³ – 48x+2. а. 2,3 b. -3,3 C. -2,2 d. -2,-1

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Q: F(X) = 3X+5 g(X)= 6X (Fxg)(X)= (F-g)(X)= (F+g)(4)

A: f(x) = 3x+5g(x) = 6x(F x g)(x) = F(g(x))                  = 3g(x)+5                  =3 x 6x+5…

Q: For a particular financial methodology, the risk-reward function was defined as y=x(Inx-2), where y…

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Q: 3 + 2x g(x) %3D 5 - 8x

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Q: Suppose that the cost function is C(x)= x2 + 5x + 144. Find the value of x that minimizes the…

A: Given:

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: Find the interval of increase of p(x)=x2+5x+6

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Q: For a certain company, the cost function for producing x items is C(x)=30x+100 and the revenue…

A:

Q: If a population of fruit flies triples every 6 days. What is k, the proportionality constant?

A: The population growth is defined by the exponential equation,  , where k is the proportionality…

Q: What values of a and b maximize the value of ! (7x-x) dx? a

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Q: The regression model tells us if it does not rain for the given day there is no amount removed in…

A: The regression model for this above data, Y=153.1755-6.32399*X if it doesn't rain a given day, X=0…

Q: Differentiate. g(x) = x*(3.3)* gʻ(x) = %3D

A: Given function is gx=x43.3x. To find g'x. Solution: We know that, ddxax=ax lna Power rule of…

Q: The population (in millions) of the United States between 1970 and 2010 can be modeled as p(x) =…

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Q: Even though housing prices have been declining in many parts of the​ country, in​ Lara's…

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

A:

Q: Maximize f = 5¤1 + 7x2 + 11a3 subject to 10r1 + 8x2 + 11a3 0

A: Consider the provided LPP problem, maximize  f=5x1+7x2+11x3Subjected…

Q: Coffee consumption in the United States is greater on a per capita basis than anywhere else in the…

A: Given, fx=2.77+0.0848x-0.00832x2+0.000144x3.   The objective is to draw the graph of given function…

Q: Find the relative extrema of f(x) = (x2 − 4)2/3

A: Given function is fx=x2-423 Differentiating the given function with respect to x,…

Q: Solve the problem. Given the total-revenue function R(x) = 7600x, and the total-cost function C(x) =…

A: A graph is said to be continuous at a point if its graph does not break at that point. Also, LHD…

Q: Find P(x), the profit function.

A:

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

A: The point of diminishing returns for the profit function is the inflection point of the function. To…

Q: | (1 – a*)dæ (1 — а?) а

A:

Q: Find the derivative.

A: We write the given expression using an exponent then use power rule and chain rule

Q: 2. For what values of x is y = 150x - 2x3 an increasing function?

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Q: Find the profit function if cost and revenue are given by C(x) = 169 + 1.2x and R(x)= 4x– 0.06x. The…

A: From the Given information we have revenue and cost function, then find profit function. Profit…

Q: Let p=(12-2x)^2 for 0≤x≤3 be the price at which x hundred units of a certain commodity will be sold,…

A: Given: P=(12-2x)2         for 0≤x≤3            Revenue   R(x)=xP(x) then    R(x)=x12-2x2…

Q: For what values of x is y = 150x - 2x3 an increasing function?

A: For the function to be increasing the derivative of the function should be greater than 0

Q: Find the profit function if cost and revenue are given by C(x) = 130 + 2.2x and R(x) = 5x -0.09x.

A: Given: C(x)=130+2.2x R(x)= 5-0.09x2

Q: Find the maximum revenue for the revenue function  R(x) = 372x − 0.7x2.

A: To Determine :- The maximum revenue for the revenue function. Rx = 372x - 0.7x2

Q: Find the point of diminishing returns for the revenue function R(x)=-2/3(x^3-12x^2-6), 0 less than…

A: The given  revenue function is Rx=-23x3-12x2-6. in the interval 0≤x≤8. Since a point of diminishing…

Q: Find the relative extrema of f(x) = −3x5 + 5x3

A: Given function is fx=-3x5+5x3

Q: Suppose a firm’s profit function is given by π(q)=(1526*q-1*q^2 )-(1*q^2+11*q). What is the profit…

A: First, differentiate the profit function πq=1526q-q2-q2+11q with respect to q to maximize profit.…

Q: 2. f(x) =x³ – 4x 3.

A: The given problem is regarding the extremum value of the function. For the second derivative test,…

Q: f(x) = 8x + 2x−¹

A: answer is in next step

Q: For this question, suppose your value function is is vfor gains and vfor losses. Last night, you…

A: Given: There was a loss of $9 in a bet last night. There was a silver lining: on the way home, $2…