Determine (A) 1-0.5x (B) 1-0.5y 0.5-x D) 0.5-y f(x, y) = {BC² k(2 − x)(1−y) 0≤x≤ 2,0 ≤ y ≤1 elsewhere 0 Marginal fx(x)

Q: Determine the global extreme values of the f(x, y) = 10x – 2y if y ≥ x - 3, y ≥ -x - 3, y ≤ 5.

A: To find the global extreme values of the function f(x, y) = 10x - 2y with the given constraints, we…

Q: (Min-Max Values of Differentiable Functions on Finite Closed Intervals; ). For each of the following…

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Q: 5. Let f(x) = x-3x73. Use calculus to determine the critical numbers for the function.

A: Consider the  provided function, fx=x-3x23 Find the critical point of the critical point. Find the…

Q: 36. Let f be a twice-differentiable function of z such that, when z = c, f is increasing, concave…

A: We have given function of x which is twice-differentiable such that when x=c, f is increasing,…

Q: 3. Find the absolute maximum and minimum (if they exist) of each function on the given interval.…

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Q: Q.5 a) The function describing the marginal profit from producing and selling a product is MP = -3x…

A: 5 a) We denote total profit function by TP. Now, TP=∫MP dx=∫-3x+500dx=-3x22+500 x+C We have…

Q: ippose the function f (x, y) has the critical point (–1, 3). Suppose (-1,3) > 0 and fyy(-1,3) < 0.…

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Q: 9. f(x,y) Use the D-test to find all relative extreme values for the function: 2x² + 3y² + 2xy + 4x…

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Q: 9. Let f(x) = x³ – 3x² + 3. a. Find the y-intercept of the function; b. Find all critical points of…

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Q: 4. Let f be a twice-differentiable decreasing function. If f(0) = 640 and f(20) following must be…

A: Now, we are given that f is a twice differentiable function . So it is differentiable in the…

Q: Characterize all local and global extrema of the following functions

A: a) The function f(x)=2x4-x2, where x∈(-1,1) b) z=-4x2+2y+x, where x∈[-2,2] and y∈[-2,2] To find the…

Q: 4. For the function f(x) = x³ – 3x? (-1<x<3) (a) Find f' and f". (b) Find the critical points. Which…

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Q: 2. f(x)= Domain: f(-2)= (2x+1 x≥1 x²+3 Function: Yes No Continuous: Yes No f(6)= f(1) = x <1 Range:

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Q: 43. Show that f(x) = x4 - 7x² - 8x - 3 has exactly one cal point c in the interval (2, 3).

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Q: 4. x t +5 and y = 5-t for 1<t = %3D t

A: We are asked to find the domain of the graph.

Q: (4 points) Find the absolute maximum and absolute minimum of f(r) = 4r + 3r2 – 6x +1 on the interval…

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Q: (i) Find the critical values (ii) Check whether the function is relative maximum/minimum/point of…

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Q: Please help

A: (A)Calculation of critical point of g(x):we can find derivative We can see that f(x) is positive and…

Q: What function should be used to minimize the distance between y = x + 5 and the point (3, 1)? O D(æ)…

A: Explanation of the solution is given below...

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

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Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…