Question 2 Given the function of two variables f(x, y) = -5x² - 2xy-8y²-8. a) [ Use Lagrange Multipliers to find the extreme value(s) of the function f subject to the constraint -4x + y - 4 = 0. 39

Q: describe the following :write the, y and x intercepts and its type, end behaviors, multiplicities,…

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Q: "The motion of a ball is modeled by the equation h(t) = -16ť² + 48t + 288 where t is measured in…

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Q: Suppose the cost and revenue functions of a company are R(x) = 60x and C(x) = 360 + 40x + 0.1 x²…

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Q: 1) A function is linear for x 2. This function has the following values: 9-4) = 8; A2) = 5; A4) =…

A: Consider the given statements : Put these values in the functions to check whether the functions…

Q: Q3. Find the maximum and minimum for the following function using Graphical method: f = 11x, + 5x2…

A: The given LPP is, f=11x1 + 5x2s.t. 3x1 + 2x2≥6     3x1 + 53x2≤15      x1 + 2x2 ≤10           x1…

Q: 17. Analyze the following quadratic function: f(x) =x* - 4x³ – 3x? +10x +8 12 pts Domain:…

A: From the given biquadratic function : f(x)=x4-4x3-3x2+10x+8 Being the polynomial function, domain is…

Q: 1. Find the maximum and minimum points and point of inflection of y = x3 – 3x2 – 9x + 20.

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Q: The domain of

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Q: e5( A one-product company finds that its profit, P, in millions of 3n² + 48a 4n+ 2an+ 290, where a…

A: Given function:- Pa,n=-5a2-3n2+48a-4n+2an+290

Q: Kaju Inc. has determined that Godzilla "droppings" are the worlds next energy source!!! (its all…

A: Given the demand model : p=30x The cost - model is : C=2.1x-142 where x is in tons. We need to find…

Q: 10. Differentiate each function. a) y= -3x² + 4x- 5 b) f(x)=6x-1- 5x-2 ) flx)= 4\x d) y= (3x² –…

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Q: Which of these functions has a y-intercept of (0,9) ○ A) ƒ(x) = 9x² + 4x + 2 B) f(x) = 9(x-3) (x +…

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Q: 9) Find a linear function of the form f(x) = ax +b that satisfy the conditions A-4) = 8 and (3) - 9.

A: f(x) = ax+bf(-4) = 8→ -4a+b = 8.........................1f(3) = 9→3a +b =…

Q: 4. Find the maximum of the function f(x) = 100-(10 – x1)? – (5 – x2)? by Simplex Method. Take…

A: Given function is fx=100-10-x12-5-x22 Let the coordinates be x1,x2 And given initial coordinates are…

Q: 1. Let f(x) = 3x + 1, g(x) = 7 – 2x, and h(x) = x² – 4.x + 5. Find the following: a) (f + g)(2) b)…

A: 1. Given, f(x)=3x+1g(x)=7-2xh(x)=x2-4x+5

Q: -. Which equation shows the minimum or maximum value of f(x) without changing the form of the…

A: Please refer the attached image for complete solution.

Q: the extreme points of f(x,y) = 3x²y+y3-3x² - 3y² + 2.

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Q: f(x)=x+2g(x)=2x−5f(x)=x+2g(x)=2x−5 Functions ff and gg are defined as shown. What is the…

A: Simply make the both functions equation for finding the x coordinate of their intersection point.

Q: 1.) Given the function in the graph, answer the following questions. g(x) = x³ - 3x g(x) a.) What…

A: We have to find domain, range, monotone intervals, relative extrema and average rate of change for…

Q: 4 y-fx) 36) Use the graph of the quadratic function to write it as: f(x)-a(x -h)'+k 26 -4-2

A: The graph is downwards parabola whose equation is (y-k)=a(x-h)^2, where (h,k) is the vertex of…

Q: Suppose f(x, y) = xe -8x²-8y². Answer the following. 1. Find the local maxima of f. List your…

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Q: 4. The quadratic function f(x) has a turning point at (-3,6). The quadratic y=÷f(x)+3 would have a…

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Q: (h) be the function of two variables (a) If, in addition, x=r cost and y=r sint, find the value of…

A: 'f' is a function of two variables such that ∇→f(x, y)=3x2-3y, -3x+3y2 f(2, 1)=4