Find and classify the extremes value of f(x)=6x* – 4x° over the interval [-2,2].
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![(1) Find and classify the extremes value of f(x)=6x* – 4x° over the interval[-2,2].
(2) A retailer determines that the cost of ordering and storing units of a product can be modelled by
20000
by C(x) %— Зх +
0<x<200. Find the order size that will minimise ordering and storage cost.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2874a328-23c4-4256-8066-1854ca280fa0%2F3ce20b15-88f2-411e-9092-3b63a8ad40a0%2F24ayk1s_processed.png&w=3840&q=75)
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- The oxygen supply, S, in the blood depends on the hematocrit, H, the percentage of red blood cells in the blood. If S = k(H) = aHe-bH for positive constants a and b, with domain (0, infinity) and k'(H) = ae-bH(1-bH) 1. Use the definition to find the only critical point H1 of k on its domain. 2. Use a number line and the first derivative test to show that the oxygen supply is maximised at H1.You have to explain how you determine the sign of the first derivative on every interval. 3. What is the maximum oxygen supply? 4. How does increasing the value of the constants a and b in the same proportion change the maximumvalue of S? Please answer 3 and 4Use algebraic methods to determine the critical value(s) of f(x) = x √4−x. Give your answers in exact form.A-Find the local minimum and maximum of f(x)=xe^3x using the first and second derivative test. B-Find the value of a so that the function f (x) = xeax has a critical point at x = 3.
- find the minimum and maximum value of the function on. the given interval by comparing values at the critical points and endpoints. y = θ − 2 sin θ, [0, 2π]Part 1.Find the dimensions of the rectangular box having the largest volume and surface area 24 square units. List the dimensions in ascending order ( , , ) Part 2.Locate all the critical points of the function f(x,y)=10x−x2−5xy2.