-- ) Determine the values of constanas a, b, c, and d so that f(x) = ax³ + bx² + cx+d has a local maximum at the point (0,0) and a local minimum at the point (1,-1).

Q: Let f (x) = 1z1 -중23-22 + 4z -2. Determine at what point f (x) achieves a local max. If there is no…

A: At the point of local maximum, the first derivative of the function is zero and second derivative of…

Q: find a so that f (x) = ax2 + 8x -8 has a minimum value of -24

A: According to the given information, it is required to find the value of a so, that the function f(x)…

Q: Identify and sketch the domain of f(x, y) = y² + 4x + 2 In(1-x² - y²)

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Q: Find the maximum point of y = x + x a. (2,-2) b. (1,2) c. (-1,-2) d. (2,3)

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Q: Find the maximum value of f(x) = - + 6

A: The maximum value of the function is the topmost point in the curves of the function. For a…

Q: Prove that the function f(x)  =x101  + x51  +x  +1 hasneither a local maximum nor a local minimum.

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Q: Examine 2x² - 4xy+3y² - 8x+8y-1=0 for maximum and minimum points. Max. at (-3,-1): Min. at (3, 5)…

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Q: The absolute maximum of f(x) = -2x + 5x215 on [-1, 1] is Select one: а. 3 О Б. 30 С. 1 O d. 7

A: fx=-2x+5x25  differentiating both sides f'x=ddx(-2x+5x25)  f'x=-2+525x-35  f'x=-2+2x-35

Q: Find the maximum value attained by the function x² + xy + y² on the set {(x, y) : x² + y² < 2}.

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Q: Suppose a firm's technology is represented by the production function f(L, K) = min(L, 2K), where L…

A: As we know that all isoquant curves are strictly negative sloped hence, if one of the point is (4,…

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: Let f (x) be the square of the distance from the point (2, 1) to a point (x, 3x + 2) on the line y =…

A: The square of the distance between two points (a, b) and (c, d) = (c - a)2 + (d - b)2

Q: Find a, b, c, and d such that the cubic function f(x) = ax3 + bx2 + cx + d satisfies the given…

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Q: Let g(X)=x3-12x+7. The maximum value of (g) over the closed interval (-4,5) occurs at what X value?

A: we have to find the maximum value of the function g(x)=x3-12x+7 on the interval [-4,5]  For that, we…

Q: 7. Which vertex will result in the maximum value of the function T = x - 3y? O (3.5, 4) (0, 4)

A: Answer and explanation is given below..

Q: Find the maximum and minimum values of the function f(x, y) = 2x² + 3y² - 4x-5 on the domain x²+ y²…

A: Given function .We have to find the maximum and minimum on the domain .

Q: Let f(x) = 8x3 - x4 + 4. 1. Find the local maximum and minimum points

A: f(x) = 8x³ - x⁴ + 4 So, f '(x) = 24x² - 4x³  &amp;, f "(x) = 48x - 12x²

Q: Determine where y = x4 - 8x2 has a local maximum or a local minimum.

A: we havefx=x4−8x2