_2. Solve the problem minimize f(x) = -xỉ +x3 – x,x2 subject to 2x1 – x2 > 2 X1 + x2 < 4 X1 > 0. |

Q: A company's revenue (in 1,000's of dollars) can be shown as R(x) =-×^2 + 15x + 10 and cost (in…

A: The given revenue function:R(x)=-x2+15x+10The Cost function is:C(x)=4x+34

Q: The graph of f(x) = x² + 8x³ - 72x² + 4 is concave down for

A:

Q: What are the coordinates at the minimum point of f(x)= x2-4x+3?

A: f(x)= x2-4x+3 is a parabola with a positive lead coefficient so it will have a minimum at the…

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: Suppose g(x) = 3x- 2 and h(x) = f[g(x)] = 15x - 11. Find y = f(x).. %3D %3D %3D %3D Explain and show…

A: Given that                     g(x)=3x-2  and  h(x)=f[g(x)]=15x-11

Q: and f(a) f(x) = 4x² + 5x² + 6x-7 3 7 2. Find f(x), f"(0), given

A: Given a function f(x)=4x3+5x2+6x-7 We have to the following of the given function, f''(x) f''(0)…

Q: The domain of the function f(x)=√12+4x−x^2 is the closed interval [A,B] where A= and B=

A: Domain is the set of all values that can be taken by x so that the equation is defined.

Q: If a manufacturer charges p(x) dollars per item, where p(x) = 4 – 5, then x thousand items will be…

A: Given: If a manufacturer charges p(x) dollars per item, where p(x)=4-x12, then x thousand items will…

Q: If f(x) = 5x - 2x³-x²+3x-1, then %3D | f(0) = %3D Cyマ/10) %3D %3D

A: According to power rule of differentiation .

Q: Suppose f(x) = 4x² + 2x - 1 and g(x) = 3x² - 4x + 4. (ƒ—g)(x) (f+g)(x):

A: f(x)=4x2+2x-1g(x)=3x2-4x+4

Q: The maximum number of turning points possible for f(x) = 3x" – 6z² + 5x – 31, is

A:

Q: 1. Iff(x) = 2x² + 3x + 5 and g(x) = 4x + 3, find x if 4g(x) = f(x)

A: Given:  and To find: The value of , when .

Q: 5. f(x) = x - 16x + 64x? %3D Zero Multiplicity Effect

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 11) Prove cos+x -sinfx = cos 2x

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Q: Converting coordinates Express the following polar coordinates in Cartesian coordinates.

A: From the given data:

Q: In f (x) = -3x* + ax³ – 4x2 + 2x + 11, if f(3) = 40, What is a?

A:

Q: Raffs Ltd, a clothing firm, determines that in order to sell x suits, the price per suit must be p=…

A: Note: Is the cost function c(x)=(0.1)x2+6x+30. Given the price per suit is p=90-0.2x and cost…

Q: What is f(x)* h(x) if f(x)=6x²-2X+2 and h(x)=, 1?

A: f(x) = 6x2-2x+2  h(x) = 1/2x

Q: Given f(x) = 1 + 6x – x? and g(x) = 4x + 1

A: Given: fx=1+6x-x2  and gx=4x+1 To find: f+gx

Q: Why will f(x)=2x² + 5x X have no zeros?

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Q: Suppose f(x)=√x² + 6x +10 and g(x) = −3x + 9. (fog)(x) = (fog)(-1) =

A:

Q: 7.) For the functions f (x) = 3x2 – 5x +7 and g(x) = 4x +8 find (f • g)(x)

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Q: If f(x) = 3x - 4 and g(x) = 6x² + 8x +1 find 1. f-g (x) 2. g + f (3) 3. f* g (5)

A:

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

A: Solution is given below:

Q: f minimum nction 13x L 6

A:

Q: 11. Find the x-intercepts for g(x) = 4x -16x² - 48x

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Q: Find all local extrema of f (x) = 4x3 – 3x² – 6x + 7 - -

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Q: If ƒ(x) = x², then f(x +3) (b) x² + 3 (a) x + 3 ( c) r+ 6α +9 (d) don't know

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Q: If f(x) = ax + bx + c has zeros x = 15 and x = 6, what zeros does f(x + 1) have?

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Q: If the domain of f(x) = x2 – 2 is limited to {0,1,2,3}, what is the maximum value of the range?

A: The domain of a function f(x) are the set of x values for which the function f(x) is defined whereas…