Question 1 two variables. Given the function of f(x, y) = -9x² - 2xy - 8y² - 3 a) Find all critical points of the function. b) function. Classify all critical points of the c) Use Lagrange Multipliers to find the maximum and minimum value(s) of the function subject to the constraint 2x+y 6= 0.

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

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Q: write answer as fraction -(1/2)^3

A: We know , (a/b)n = an/bn

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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: Q2) Find all the local maxima, local minima, and saddle points of the function: f(x, y) = x2 + xy +…

A: Let us consider the function f(x ,y), to determine the local maxima, minima and saddle point  Find…

Q: 27. Using x-intercepts and two test points, graph the quartic function: y = (x – 6)²(x + 2)(x – 2)…

A: We have to find the graph

Q: (c) Write an equation in standard form of the parabola which has its vertex at (5, 2).[Hint:…

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

Q: Determine whether the stationary point represents a maximum/minimum f(x,,x,) = 20x, – 4x¡ +9x,x, –…

A: Here, the given function is: f(x1,x2)=20x1-4x12+9x1x2-6x22+18x2...(1) with the constrain…

Q: 2. Find all relative maximum(s), relative minimum(s), point(s) of inflection, and interval on which…

A: A function y  We have to find relative maximum  Relative minimum and inflection points

Q: A company manufactures z units of one item and y units of another. The total cost in dollars, C, of…

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Q: 3. The diagram on the right shows an open box with a square base of side x cm and a height of h cm.…

A: a)Area of the box (A)=x.x+2xh+2xhA=x2+4xh75=x2+4xh  [Since A=75 cm2]75-x2=4xhh=14x75-x2Volume of the…

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Q: 12. Place the following quadratic function in vertex form by method of completing the square a) y =…

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Q: Consider the function f (x) = x - 2x –1. Determine the following: 14 - is the vertex a maximum or a…

A: We have to find the coordinate of the vertex.  And we have given a function f(x).  For this we can…

Q: Find the minimum and maximum values of the function f(x, y, z) = x² + y² + z² subject to the…

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