V3x - 2 (3 pts) TEST II. Find the domain of f(x) = %3D x- I

Q: f(x) = 3x + 4; g(x) = f(-x) %3D %3D

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Q: (h) Shrink vertically by a factor of 4. (x) y f(x - 4) O y = 4f(x) Oy = f(x) - 4 Oy = f(x) + 4

A: For function f(x),  y = f(x - a), represents shift a units to the right. y = af(x),  represents…

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

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Q: (b) Using linearization, approximate f(-0.1, 1.8).

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Q: -. Maximizing Profit Suppose r(x) = 8Vx represents revenue and c(x) = 2x represents cost, with x…

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Q: f(x) = v4x² – 20 %3D x+2 0 g(x) = %3D x2+4x-5 h(x) = |2x³ –1| .3 %3D

A: (a) Given function is: fx=4x2-20 The above function is discontinuous for:…

Q: 3. Find the relative extrema using any method. f(x) = (3xe*)².

A: A function f(x) has relative extremum at a point x=a if f'(a)=0. We first find the derivative of f…

Q: x2 – 1 6. g(x) = Vr – 3 at r = 4 - %3D

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Q: J -3 (x) =J3(x)

A: We have to state whether given statement is true or false.

Q: 2. f(x) = (x + 1)² – 3 Vertex: Axis of Symmetry:

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Q: (b) Find the value of r that minimizes V(r).

A: 8(b) The expression for Morse potential is given by Vr=e-r-Ae-ar, r>0, where A and a are positive…

Q: g(x) = [[ ½ x ]] %3D

A: Given : g(x)=12x

Q: y = x²-1, stretched vertically by a factor of 3 is a) y = f(x) (b) y = (C) y = f(3x) (d) y = f(x) +…

A: Given,           The function is y=x2-1.

Q: Two models R1= 2.98 + 0.65t and R2 = 2.98 + 0.56t are given for revenue (in millions of dollars) for…

A: Given: The revenue for the two models are:

Q: S(r) = -x² + 2r + 15 What is the minimum or maximum of f (x) (put "0" if there is no minimum or…

A: Given function is fx=-x2+2x+15. To find the minimum or maximum of fx. Solution: Given function is…

Q: The estimated monthly profit realizable by abc corporation for manufacturing and selling x units of…

A: From the given profit function:   px=-4x2+24000x-100,000 dollars   Now differentiate the function…

Q: Find the relative maximum and minimum values. 3 3. f(x,y) =x +y° - 15xy

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Q: 4x+V1-2x 1. f (x) find the domain only. %3D V9-x2

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Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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

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Q: 6. If f(x) = x - 1 and gx) 3x + 10, what is f(g(-6))? %3D %3D

A: Given,    f(x) = x2 -1 g(x) = 3x + 10   To find : f(g(-6)) =?

Q: 4. The profit function, p(x), for a company is the cost function, c(x), subtracted from the revenue…

A: Recall: Profit Function P(x) = R(x)-C(x) ; where R(x) is Revenue function and C(x) is the cost…

Q: Wutz UpDogs chose a particular football stadium to test market a new jumbo hot dog. It was found…

A: Given that x denotes the number of hot dogs sold during one game in thousands and p denotes the…

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: f(x+h)-f(x) for f(x) = 2x2 +11 : Find %3D

A: Given function: f(x)=2x2+11   To find f(x+h)-f(x)h, we have to need the values of f(x+h) and f(x).…

Q: 4. t(x) = (x - 3)3 5. h(x) = -x² 6. f(x) = V=x 7. f(x) = 2x2 %3D

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Q: 10. A building materials company sells gravel. Suppose that C(x) = 0.5x² +3x %3D represents its…

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Q: Find the company's Profit function ( P(x, y) = ?), and Profit value? D-Test for Maximum or Minimum?…

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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: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

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Q: f(x)= s-1)² - 1

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Q: 3) f(x) = x g(x) = 3(x + 2) %3D

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Q: f(x) = 5x² + 2 %3D g(x) = x + 7 %3D f(g(-1))

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Q: f (x) = 3x + 1 g (x) = a? Find f (g (x)) %3D

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Q: f (x) = -5 x2 %3D f' (a) = 10 %3D a =

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Q: |3D ] B3(a): Find the critical points of the function f(x)= 7x² – 14x.

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: t f(x) = 2x - 3 and g(x) = x + 5. %3D a. 2. g(x) = 2( x + 5) = 2x + %3D b. 5 g(x) = 5(_) = 5x +, %3D…

A: Given f(x) = 2x-3 and g(x) = x+5                a)     2.g(x)=2(x+5)                    = 2x+10 b)…

Q: f(x) = 2x - 15 g(x) = v2x h(x) = j(x) = -(2x)2 12. (f+g+h+D(1) 13. (h + j)(x) 14. h(g(81))

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve first three…

Q: For some positive constant , a patient's temperature change, T , due to a dose, D , of a drug is…

A: Given: For some positive constant c and D=Drug Dose  T=Patient's temperature change T=C2-D3D2

Q: g(x) = 4x + 4 f(x)=x²-1 a. (gof)(x) b. (fog)() C. (gof)(-3)

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Q: In a town of 50,000 people, there were initially 80 cases of a particularly virulent strain of…

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Q: h.w 2 : find & Range x +3 y = x² – 2x - 8

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Q: 4) g(x) 5 at x=3

A: Given,  g(x) = 15·13x at  x = 3 g(x) = 15·133 =15·133=15·127 =1135

Q: PlY) X: PCx) メ-N (x-My (x-ル)*. P(x) 1/7 16 g*- 2kの.Pe) す。

A: 1) The given data  is ,  x p(x) 1 0.14285 6 0.14285 11 0.14285 14 0.14285 21 0.14285…

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: The sales function for a product is given by S(x)=127+30.6x2−0.6x3S(x)=127+30.6x2−0.6x3, where x…

A: Given Sales function for a product is, S(x)=127+30.6x2-0.6x3,  where x represents thousands of…

Q: f(x) = Vx +4 g(x)%3D3x-5 ()b 7 r(x)%3D a. f(g(x)) = b. g(f(x)) c. h(f(x)) =

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Q: 5 Bicycle Designs has determined that when x hundred bicycles are built, the average cost per…

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Q: y = f(x). Find f(-5) %3D

A: Given  1) A graph of a function  2) f(x)=-3x2+2, g(x)=x+2

Q: The cost function for producing x items is C(x) =30,000 + 150x - 0.10x2 The revenue function is…

A: We find R'(x) using the power rule R(x) = 800x - 0.6x2 R'(x)=800(1)-0.6(2x) R'(x)=800-1.2x