Locate all relative (local) and absolute maxima and minima for the function: f(x)=2x^5-5x^4+7 on the closed interval [-1,3/2].
Consider the following function f(x)=2sinx-cos2x on the closed interval [0,2pi]. Task: Find all relative (local) and absolute maxima and minima for the function listed above.
Locate all relative (local) and absolute maxima and minima for the function: f(x) = x^2/x^2+1 over the entire graph (negative infinity, positive infinity).
The area of a closed box is 200 square inches. If the box has a square base, find the length of the base that will maximize the volume.
Consider the minimization of *see attached for equation* subject to the constraint of *see attached for equation* (a) Graph the contour point of with y-axis and x-axis between -2 and 6.(on my paper there is a dot (between point (3,3) Estimate where extrema values may occur and compute the function values correspondi
Given: y = f(x) = 3x4 + 4x3 Find: A. All critical points B. Max - Min Values C. Inflection points D. Where is f(x) concave up E. Where is f(x) concave down F. X and Y intercepts G. Where f(x) is increasing H. Where f(x) is decreasing I. Sketch the curve label
A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of the page are to have 1.5 inches, and the margins on the left and right are to be in 1 inch. What should the dimensions of the page be so that the least amount of paper is used?
A wire 10 feet long is to be cut into two pieces, each of which is to formed into a square. What is the largest possible total area of the two squares? What is the smallest possible total area?
For the equation RAND = (ac+m)MOD MAX , if the set of random numbers is known, is it possible to calculate a,c and m?
The attached file contains a dynamic problem. I don't think I have it set up right because I keep going in circles when I attempt to solve it. Could you please help me? I am not sure where I am making my mistake.
Please see the attached file for the fully formatted problems. The beginning appears below... Example Problem: A sales manager has 3 areas and 5 sales engineers. If the assignment of sales engineers to areas will result in the expected sales as shown, how should the engineers be assigned to maximize sales?
I have been trying to solve the following problem. Maximize z=x-y subject to: x^2+y^2<=1 The attached file has the work I have done so far. I can't seem to reach plausible solutions.
Please see the attached file for full problem description. --- Problem 1 In deciding whether to set up a new manufacturing plant, company analysts have decided that a linear function is a reasonable estimation for the total cost C(x) to produce x items. They estimate the cost to produce 10,000 items as $547,500 and the cos
Please see the attached file for the fully formatted problems. We consider the function J defined as and . 1) Prove mathematically that K is strictly convex. 2) Descibe the two algorithms of conjugated gradient for this function K. 3) Are they descending algorithms? 4) Choose one of them, and choose a method to
Please see the attached file for the fully formatted problems. Let be defined for as: 1) Evaluate (upside down Delta) Jx. 2) Calculate HessJx . 3) Prove mathematically that J has a unique minimum. 4) a) We are given . Describe the algorithm of the gradiant of optimal step for this function J. b
A) Make a table that summarizes the above information. b) Write down the optimization equation and the constraint equations and label them as such. Make sure your write down all of the constraint equations. c) Graph, either by hand or using Excel, the constraint equations. Identify the feasible region. Make sure to labe
A florist is planning to make up floral arrangements for the upcoming holiday weekend. He has following supply of flowers in stock this Friday and he cannot get any more. Type------Number available------Cost per flower Roses----------800-----------------------0.20 Carnations---4000----------------------0.15 Gardenias
Your iron works has contracted to design and build a 500-cubic foot, square based, open topped, rectangular steel holding tank for a paper company. The tank is to be made by welding thin stainless steel plates together along their edges. As the production engineer, your job is to find dimensions for the base and height that wi
You have 80 inches of wire. You can break it into two pieces or leave it intact. You're going to bend the pieces into squares. What are the maximum and minimum possible total areas of these squares?
A cook is puzzling over the number of pounds of food he should purchase in order to minimize his cost. He has always brought his food from a small health food store in town. The store sells two types of mixtures. Both of these mixtures contain the three ingredients needed, but the cook needs his own special ratio of these ing
An architect is designing an office building that is 120 feet by 72 feet. The architect wishes to use prefabricated rectangular panels to construct the outside walls. If the same size panels are to be used on all sides of the building what is the widest panel that can be used? Explain your reasoning.