If f(x) = 3x – 1, h(x) = 6x + 5, and fog=h, find g(x). %3D

Q: ABZ Mart sells whole-grain foods and its revenue is given by R(x) = 100 – %3D 400 x where x is the…

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Q: y' + 2y = e*,

A: Note: Since you asked multiple questions, I solved first one if you want answer of other questions…

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

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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: V121–a² r85-x²-y² 11 x dz dy dx -157+x²+y²

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Q: The energy expended by a bird per day, E, depends on the time spent foraging for food per day, F…

A: To find the foraging time

Q: If f(x) dx = 31 and g(x) dx 12, find [4f(x) + 6g(x)] dx. %3D

A: See the details solution in below

Q: f(x) = 2+ 3x² – 8x3 -

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Q: 5T 1 y=-2cos(Gx+っ)+1

A: Phase shift: -5π

Q: A cell phone factory has a cost of production C(x) = 150x + 30,000 and a revenue function R(x) =…

A: Break even point is where total revenue equals total cost. Here total cost is given by…

Q: Find the antiderivative of f(x) = x³ – 6x +7

A: fx=x3-6x+7 to find the antiderivative, we need to take an integration Fx=∫ fxdx

Q: For f(x) = 2x² + 5x+", find. 10 S(a +h)- f(a) if h +0. h

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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 relative extrema. x2 f(x) = 16- — х2

A: Given: f(x)=x216−x2 Function achieves relative maximum or relative minimum (relative extrema) at…

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: y = f(x) = (5+ x²)/2 (x³ + 1)/4

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Q: If f(x) dx = 37 and g(x) dx = 12, find [4f(x) + 5g(x)] dx. %3D

A: Given : ∫06fxdx = 37∫06gxdx = 12

Q: |f(x) dx g(x) dx = 15, find / [3f(x) + 5g(x)] dx. If 28 and

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

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Q: Find d2y/dx2 implicitly in terms of x and y.    x2 + y2 = 4

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Q: f(x)=x 2,g(x)=x+1(fog)(x) y (fog)(5)

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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)…

Q: Find the antiderivative of f(x) f(x)=2sec2 (x)-3x-6

A: Given: f(x)=2sec2x-3x-6let the antiderivative of f(x) = F(x)then,F(x)=∫f(x)dx

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

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Q: Suppose f(x)=−x2+10x−6 models the per household smoothie consumption, in quarts, in the town of…

A: Given that : fx=-x2+10x-6. Therefore, take first order derivative : f'x=-2x+10. At f'(x)=0 , we get…

Q: If f(x) = 5x4-2x³-x²+3x - 1, then | f'(0) = %3D d2 f(0) = dx f"(x)= d4 dx 4

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Q: | (1 – a*)dæ (1 — а?) а

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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: S2-3x', x>2 Vx -2, х <2 а) g(x)-

A: The given function is gx=2-3x3,   x&gt;2x-2,    x≤2. Sketch the graph of this function as shown…

Q: If f(x) dx 38 and g(x) dx = 14, find [3f(x) + 5g(x)]dxr. Answer:

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Q: What is the DE for A(x^2)+Bx+C using elimination of arbitrary constants.

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Q: The y, of y'"-y=2x²-x -3 by using variation of parameters is: .A y,(x)=Ae*+ Be- .B Yp(x) = x – 1 .C…

A: Given that  y"-y=2x^2-x-3 To find the particular solution by using the variation of parameters

Q: Find the average cost function if cost and revenue are given by C(x)= 157+8.9x and R(x)= 8x-0.05x.…

A: Hi!, we are authorized to answer one question at a time since you have posted two different question…

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: f(x) = (x² – 2x + 2)e*

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Q: Evaluate (D2+3D+2)y=(1+e-x)-1

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Q: 4. Suppose y = 3x + 2. What is Ay if x increases by 3?

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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: A company finds that the total cost of manufacturing x units of a certain product is given by C(x) =…

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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: If Ff(x) dx = 7.2 and f(x) dx = 3.7, find %3D %3D f(x) dx. 3

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Q: The antiderivative of the function f(x) = .8 + 10x3 is. %3D

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Q: Which is equal to (2) (x) given that g(x) = 1 – 3x and h(x) = Vx? Vx – 3xVx 3x/x - Option 1 Option 2…

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Q: If f(x) dx = 37 and g(x) dx = 14, find [4f(x) + 6g(x)] dx. %3D

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Q: If f(x) dx 39 and g(x) dx = 12, find [2f(x) + 3g(x)] dx. %3D

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Q: Find the number of units, x, that produces the maximum profit P, if C(x) = 45+4x and p = 60 - 2x. A.…

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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: Solve for f(g(x)) and g(f(x))

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