Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) f(x) = x3 - 75x + 3 relative maximum (x, y) = relative minimum (x, y) =
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- Find the relative maximum or minimum value (if any) of f(x, y) = (x2 + y)ey/2Find the relative maxima and minima of y by the second-derivative test: (a) y = -2x2 + 8x = 25 (b) y = x3 + 6x2 + 7 (c) y = 1/3x3 - 3x2 + 5x + 3 (d) y = (2x)/(1-2x) x not equal to 1/2How to find the the relative maximum or minmum of the function: e^(3x^2+4) with x and y coordinates
- g(x) takes its maximum value at x=Marine ecologists estimate the reproduction curve for swordfish in a fishing ground to be f(p) = −0.01p2 + 6p, where p and f(p) are in hundreds. Find the population that gives the maximum sustainable yield, and the size of the yield.find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = 3ex − e2x , [-1/2,1]
- Consider the production function: Y = 0.75X + 0.0042X2 – 0.000023X3 At what level of X, the output will be maximum?Find the relative maxima or minima. Maximum of ƒ(x, y) = 12xy - x2 - 3y2, subject to x + y = 16Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) g(x) = x2 + 5x + 4 Relative maximum (x,y) = relative minimum (x,y)= f(x) = x3 − 75x + 1 Relative maximum (x,y)= relative minimum (x,y)= f(x) = 3x4 − 4x3 + 6 Relative maximum (x,y)= Relative minimum (x,y)= Profit Function for Producing Thermometers The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer. Management estimates that the profit (in dollars) realizable by the company for the manufacture and sale of x units of thermometers each week is represented by the function below, where x ≥ 0. Find the interval where the profit function P is increasing and the interval where P is decreasing. (Enter your answer using interval notation.) P(x)= -0.003x2+6x-5,000 Increasing: Decreasing: Growth of Managed Srvices Almost half of companies let other firms manage some of their Web operations—a practice called Web hosting. Managed…