4. If the function f is defined by f(x) = 5x + 3, then 2f(x) + 1 = %3D %3D 7x+4 В 7x+7 10x+4 D 10x+6 10x-7

Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of…

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Q: c) f(x) = 3x – 2 5 3メー2 51

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Q: If f and g are functions of time, and at time t = 3, f equals 8 and is rising at a rate of 3 units…

A: From the question we have  f(3)=8   and  dfdtt=3=3 i.e f'(3)=3 Similarly, g(3)=6   and  dfdtt=3=8…

Q: Solve the problem. 10) Maximize Q = xy2, where x and y are positive numbers, such that x + y2 = 5.

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Q: Consider the following problem; max f (x, ,x2) = xỉx2 subject to 2x + x = 3

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Q: 5. State the equation of f(x) if D = {xER\x - and the y-intercept is (0, ;) 2x+1 x+1 f(x) : f(x) а.…

A: Equation of the function

Q: Solve the equation below giving an explanation. Thanks.

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Q: 9. If f(x) = x2 - 2x + 5, what is f(x+h)? %3D A a2 -2x + h2 - 2h + 10 x2 + 2xh + h2- 2x 2h +5 C a2 +…

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Q: If f(x)= x - 4 and g(x)= Vx-2; which of the following is equal to х — 2 Option 1 – 4(SF 2) X - х — 2…

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Q: Consider the following problem; max f (x1 , x2) = xỉ x2 subject to 2x} + x = 3

A: The given function is, max f(x1,x2)=x12x2 subject to 2x12+x22=3So, f=x12x2 and let g=2x12+x22-3

Q: 11. Suppose that a firm that uses 2 inputs has the production function f(x1, x₂) = = 12xx and faces…

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Q: 4) Show that and = are eventually fixed points for the function : 8 0sx< 2– 4x sx< 4х 1 f(x) = 1 4x…

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Q: -x², 5х - 4, 4x* - 3х, 1<x<2 X <0 0 <x<1 If f(x) = then f(x) is discontinuous at x = Зх + 4, x 2 2…

A: f(x) is discontinuous at x if left hand limit not equal to right hand limit

Q: 1. Find the critical points for f(x) = 3x5 – 20x3.

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

Q: _6. If f(x) = 18x² and t(x) = 8x, find f(x). t %3D c. 4_ 9x d. 9 a. 9x 4 b. 4x 9 4x _7. When f(x) =…

A: Explanation of the solution is given below...

Q: Consider the problem f (x) subject to g;(x) = 0, minimize %3D

A: Given, the problem                 minimise f(x)            subject to   gi(x)=0, i=1, . . ., l…

Q: 7. The critical points of the function f(x) = 1³-272 are (a) ±3 (b) ±1 (c) +√2 (d) 1

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

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

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Q: The critical points of the function w=u³+2uv-2v²-4u+5 are . .

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Q: 1. Find all critical points for the functions: a) f(x) = x² – 10r- 9 %3D 5 -r b) f(x) = %3D r2 - 6x…

A: Given that the functions    (a) f(x) = x2 -10x -9    (b) f(x) = (5-x)/(x2-6x+30) Here we have to…

Q: 4. If f(x) = -6x and g(x) = -6x %3D 203 2x+3 and g(x) = 3x 5. If h(x) = %3D

A: The solution are next step

Q: _6. If f(x) = 18x² and t(x) = 8x, find_£(x). t %3D а. 9х 4 b. 4x 9 c. 4_ 9x d. 9 4x _7. When f(x) =…

A: Topic :- Functions

Q: 2. Consider the following optimization problem: max x, (30 – x, ) +x, (50 – 2x, ) – 3.x, – 5x, –…

A: The objective is to state the KKT conditions and solve the optimization problem max…

Q: _2. Solve the problem minimize f(x) = -xỉ +x3 – x,x2 subject to 2x1 – x2 > 2 X1 + x2 0. |

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Q: 2 Determine the definition of the piecewise linear function shown in each of the graphs. 6. 3 2 -4…

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Q: Find the optimal solution to the following problem. Minimize f (x1, X2, X3) = x₁² + 2x₂² + 10x3²…

A: To find: The optimal solution of the given problem, Given: Minimize f(x1,x2,x3)=x12+2x22+10x32…

Q: What are the critical points for the function f(x) = x³ + 9x² + 15x – 8 %3D None x = -1 and x = -5 x…

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Q: Consider the following problem; max F(x1 ,X2) = x,x3 subject to 6x + 3x3 = 72

A: Solution is given below:

Q: 2 The critical point for the function g(x)= X +4x is Select one: a. (4,-2) b. (-2,4) C. (2,4) d.…

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Q: One of the following is not a critical point to the function fx, y) = 3x2 - 12x +y+- 2y2- 5. Select…

A: Given function is,       f(x,y)=3x2-12x+y4-2y2-5 We have to find critical points of above function.…

Q: Find the optimal values ​​of the function f (x, y) = 4xy + 5. Subject to the restriction x ^ 2 + y ^…

A: Consider the objective function as fx,y=4xy+5 subjected to restriction equation x2+y2=18. Let the…

Q: The function f(x) = 2x³ – 27x² + 48x 1 has two critical numbers. - The smaller one is x = and the…

A: We have to find the critical points for the function f(x)=2x3-27x2+48x-1.

Q: f and g are functions of time, and at time t = 3, f equals 9 and is rising at a rate of 2 units per…

A: It is application of derivative.

Q: Maximize: z=5x+y subject to: x-ys3 5x + 3y ≤ 75 x20, y20

A: Given,           Maximise: z=5x+y    subject to:                      x-y≤3…

Q: 8. Maximize P=3x+2y 2x+ys22 x+3 ys26 XS10 Subject to ys10 X,y20

A: The LPP is given as Max P=3x+2y subject to 2x+y≤22x+3y≤26x≤10y≤10x≥0y≥0 We will solve it by…

Q: The function f(x) = 2x³ – 27x2 + 48x – 3 has two critical numbers. - The smaller one is x = and the…

A: We have to find critical numbers for the function: fx=2x3-27x2+48x-3 We know that critical points of…

Q: 4 If f'(x) = x³ x'-2x +x+2, then f has inflection points at 3. n X=0 X= -0.5 X-1 x-0.6 X-2

A: Point of inflection  Those points where cancavity changes called inflection points

Q: 6. Compute f '(x) if Ax) = , 1 1 A) 3x*/³ (x – 1)*/ 4/3 1 B) 3x2/ (x – 1)*/3 1 C) *(r – 1)*/3 1 D)…

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Q: Solve the following problem using Simplex Method. Minimize the function f = 2x, - 4x, – 3x; subject…

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Q: Find the optimal solution to the following problem. Minimize f (x1, X2, X3) = x₁² + 2x₂² + 10x3²…

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Q: 1 Evaluate f x(x + 4)3dx OA) 3/7 (x+4)^(4/3) (x-3)+C

A: using substitution method to solve.

Q: f  f(x)=ln(7x^6−3x^2) and g(x)=(π3lne‾‾‾√+13log2(16))5e+x5+6x,  f′(1)=

A: f(X)=ln(7x^6-3x^2)         2nd question is not written proper please write properly and resend

Q: Suppose we wish to maximize the product xy where the variables are constrained to sum to one, that…

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Q: 1. If f(x) = 3x + 9 and g(x)=x²-4, find: a) (fog)(x) c) (gof)(x)

A: A detailed solution is given below

Q: If f(x) = 4x – 1 and g(x) = Va2 +1, then f(g(x)) is - Oy = (4x – 1) Vx² +1 Oy = 4Vx2 +1–1 4x-1 Oy=…

A: Given fx=4x-1, gx=x2+1To find f(g(x))

Q: Find the optimal solution to the following problem. Minimize f (x1, x2, x3) = x1² + 2x2² + 10x3²…

A: Given problem, Minimize fx1,x2,x3=x12+2x22+10x32. Such that, x1+x22+x3-5=0x1+5x2+x3-7=0 Find the…

Q: Consider a small closed economy with two consumption goods: good 1 (meat) and good 2 (berries).…

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Q: Graph the function for the glven domaln. y = 2x D-2,0,2, 4 20 16 12 -8 -12 -16 -20 -n 4. -2 -1 0 1 2…

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Q: The antiderivative of the function f(x) = -.9 + 10x³ 9. is -6 2.5x4 + c -6 + 2.5x4 + c -10 + 1.5x* +…

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