91 Answered Questions for the topic Optimization

16d

Find the area of the largest isosceles triangle that can be inscribed in a circle of radius r = 14 (see figure).

Solve for the area, and write as a function of h and then as a function of a.

12/06/19

11/13/18

Finding the dimensions of a rectangle with max area that can be in a circle

Find the dimensions of a rectangle with the max area that can be inscribed in a circle of radius 10.

10/05/18

How do you find points given the following?

Find the points on the graph of the function that are closest to the given point.f(x) = x^2,(0, 9)

07/03/18

Very confusing optimization question!

I am really confused about this equation and how do you derive the volume and area equation! ” An open-top rectangular box is to be 6 meters high and have a volume of 300 cubic meter. Find the... more

06/21/18

Charlie has an 8m plank. He plans to cut it into 4 pieces to make a rectangular sandbox. Show that he can maximize the area of the sandbox by using a square

I don't know what to do here ??? please help   Continuation to question- with a side length of 2m

05/13/18

What size square should be cut out to create a box with greatest volume? What is the maximum volume?

An open box is to be made from a piece of plastic 20 by 20 inches by cutting out squares of equal size from the corners and bending up the sizes.

04/17/18

how to find an equation that links the minimum surface area given a certain volume

a diving tank manufacturer is trying to reduce costs of its manufacturing process by reducing the amount of material that is used to produce their tanks. They came to you for consultation as to how... more

04/02/18

Find the dimensions x and y of the rectangle of maximum area that can be formed from a 100-in. piece of wire.

Find the constraint and solve for y.Find a formula for the area in terms of x alone.What is the interval of optimization?Maximum area is

04/01/18

find the dimensions of the can (radius and height) that will minimize the amount of material used (surface area)

a cylindrical soda can is being designed to hold a volume of approximately 23.56 in3

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