Minimize c = 2000r + 3000s 2r + 20 Subject To: 2s > 20 3r + 4s 2 50 And Where: {r > 0, s > 0} S = C = AL AL AI

Q: Find the domain and range 1 - y= Vx2 – 4 2 - y = Vx2 + 4x + 2

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Q: After a change of variable, the quadratic form 2( * } ) = 3x} – 2x1x2 + 3x X2 may be written in the…

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Q: 3x: - 2x2 + 2x3 = 0 6. Solve *, + 2x2 – 3x3 4x1 + x2 + 2x3 = 0 = 0. by Cramer's rule

A: Given that  By solving the equations by cramers rule

Q: 2 9 x - x = (x)} JI a. Write f(x) in vertex and intercept form b. Find the maxima c. Write the…

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Q: The maximum value of (/-3 + 4x – x2 + 4)² + (x – 5)². | |

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Q: Match the items in colu A wh the equations of the quadratie fnctions in oolum Column A Colume A…

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Q: Find the counterexample to show that the following conjecture is false. (x + Y)^2 = x^2 + y^2  is…

A: We need to show that the conjecture: x+y2=x2+y2 is false using a counter example. It is known that…

Q: If mZBDC = 7x +1 and MLADB = 9x - 7, find mLBDC. %3D |

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Q: : Answer the following 1- Let s = = {+:n € N}. Find max(s), min(s), sup(s), inf(s).

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Q: can there be a maximum for Q = x2 + y2 if x + y = 6? Justify your answer.

A: To check: Whether Q have maximum value or not. Given: The functions are Q=x2+y2, if x+y=6. Concept…

Q: 6. Which of these quadratic functions has a maximum value? * y = 3x2 – 3x+5 y= (3-x)2 Option 1…

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Q: Body-heat loss The model for body-heat loss depends on the coefficient of convection K, which…

A: Given that the coefficient of convection K, is given by - K2 = 16v + 4 where v is the wind speed in…

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: Please provide clear and complete step-by-step solution

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Q: Determine the constants a and b so that x = -1 is a zero point to q (x) = x5-3bx3 + ax2-ax + b with…

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Q: If you know that Q(x) is a quadratic function and that Q(5) = 10, Q(8) = 11 and Q(1) = 9 then: 1…

A: If you know that  is a quadratic function and that , then to evaluate the following integral.

Q: Integrate S- x?Vx?+ 16 44dx A I1/x²+ 16 +C 4 (B I1/x²+16 +C 4 I1/x²+ 16 +C 4x 11 +C 4/x²+ 16 11x +C…

A: Let I=∫44x2x2+16dxTake the constant out:  ∫a·fxdx=a·∫fxdxI=44·∫1x2x2+16dxPut x=4tanθdifferentiate…

Q: Show that the function (x2+y2 t224이) is a Solution of Loplace's equation d2u dy?

A: It will be solution of given Laplace equation only when, it will satisfy it.

Q: Find the largest damain af the function : 2X+2X-1 x²+3X-10

A: Given  y = 2x2+2x-1x2+3x-10 To find the domain of the above function, we have to find the value of x…

Q: How many total solutions can the following funnction have? F(x)=3x^8+6x^4-2x^2+5x-4

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Q: Find two positive number whose sum is 15 so that the sum of their square is minimum.

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Q: If the position of an ob ject moving along a straight line at any time is expressed by s(t) = 1³ –…

A: Given: s(t)=t3-9t2+24t

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A: x=longer  side y=x-15=shorter side and the area is A=324 the area of the rectangle is given by…

Q: A once-popular children's doll is slowly declining in popularity. The quartic function f(x) = -…

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Q: Hind Ahe standard mateix A of the linnartrangomatoon 2x x+y

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Q: max F(x1 ,x2) = x,x3 subject to 6xỉ + 3x = 72

A: Let the given function be  F(x1,x2)=x1x22    ….(1) and  G(x1,x2)=6x12+3x22-72=0    …(2) From…