

Please show all work. 6. To contain 32 cubic meters of grain, we need to design...
Calculus 3 please answer and show steps to both
questions
1. Find the Maximum and minimum values of the following function. 1 f(x, y) x2+y2 + x2y2 Sketch the graph using Maple to verify your calculations. 2. Determine the dimensions of the rectangular box, open the top, having requiring the least amount of material for its a volume of 32 cube-feet and construction. Set up the objective function and constraint. Solving the problem using absolute extremum method. Solving the problem...
14. A cardboard box with volume 32 cubic inches, square base, and open top is to be constructed. Find the minimum area of cardboard needed, neglecting waste. Show all work and use the Second Derivative Test to verify you have found the minimum.
Please show all work
4. (4 pt) Answer True or False a. A positive definite quadratic form must have positive value for any b. The Hessian of an unconstrained function at its local minimum point must be positive semidefinite. С. If a slack variable has zero value at the optimum point, the inequality constraint is inactive. d. At the optimum point, the number of active independent constraints is always more than the number of design variables. e. At the optimum...
1. Simple Cubic: (Let r = 1.00 A) Show all work. Can you please explain this in detail on how to do this? a) calculation of the length of a face diagonal (F): b) Calculation of the % void space:
I need a detailed answer please
1. You must SHOW ALL YOUR WORK on the test to receive full credit. 2. Print your name and Id# on the top of the first page. 3. Always give the exact answer(s) in the simplest form unless it's specified otherwise. 4. Box your final answers. GOOD LUCK! 1) (11 points) Find all critical numbers of f(x)=x-Vx. (Show all five steps.)
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
please only answer if willing to answer all thank you!
A rectangular poster is to contain 968 square Inches of print. The margins at the top and bottom of the poster are to be 2 inches, and the margins on the left and right are to be 1 inch What should the dimensions of the poster be so that the least amount of poster is used in smaller value in larger value Need Help 6. [-/2 Points DETA A farmer...
Please do the following problem. You need to show your work to
justify your answer. Having said that, a hint on the 1st two
problems - you can do most of the work simply by analyzing the
points, not necessarily a lot of math. However, on the last one,
you must do a bit of math to get credit.
Problem 1: For the truss under the following 3 loading conditions, determine the minimum cost of each truss based on the...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
Please help with 1-10 and please show all work thanks.
Show all of your work neatly, and express solutions as exact answers unless otherwise requested. No credit will be given to solutions that have no work shown! BOX or CIRCLE your final answer. 1. Sketch a graph and shade the area of the region bounded by the following equations. Set up an integral that would give this area. 2x + y2 = 6 and y=x+1 2. Sketch a graph and...