131 Answered Questions for the topic Optimization

Optimization Calculus Help

02/19/19

optimization please help
A luxury hotel group purchases a deserted island 3. 5 miles offshore and due south of an endangered bird nesting beach. The nearest power source is on land, 10 miles due east of the bird nesting... more
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Optimization Calculus

11/17/18

Optimization Problem
A box is contructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for the sides costs $8 per square foot. Find... more
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Optimization Calculus Maximize

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.
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Optimization Calculus Derivative Volume

11/13/18

An Optimization Problem
I have some issues regarding this optimization problemA cylindrical garbage can with no top needs to hold 6 ft3 of garbage. What diomensions should the can have in order to minimize the amount of... more
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Optimization Calculus 1

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)
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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
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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
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Optimization Math Geometry Math Help

06/13/18

Marbles with radius 1.5 cm are placed into a cubic box of side length 12 cm. How many can fit and how much empty space is left?
i'm not sure how to do this question. pls help!
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Optimization

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. 
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Optimization

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
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Optimization

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
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Optimization Calculus

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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Optimization Algebra 2

12/31/17

Algebra 2 Optimization Problem - How much fencing do you need?
You are designing a rectangular garden. The garden will be enclosed by fencing on three sides and by a house on the fourth side. You want the garden to have an area of 288 square feet, but you want... more
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Optimization

11/13/17

Find the dimensions of a cylinder of volume 61m^3 of minimal cost if the top and bottom are made of material that costs twice as much as the material for the
Find the dimensions of a cylinder of volume 61 cubic meters of minimal cost if the top and bottom are made of material that costs twice as much as the material for the side.   r= _____m h= _____m
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Optimization Calculus 1

11/13/17

Optimization question
A baseball team plays in a stadium that holds 64000 spectators. With the ticket price at $9 the average attendance has been 27000. When the price dropped to $8, the average attendance rose to... more
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09/19/17

finding the max of a trig function
f(x) = 5sin (-4x)-3 in the domain 0<x<2 pi i know how to find the derivative f'(x) = -20 cos (-4x)   but i am unsure as to how you solve this for critical... more
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07/28/17

Optimization
Dianna wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30 m of decorative fencing, what should be the dimensions of the flower plot be so that she a... more
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Optimization Calculus Derivatives

07/27/17

Optimization
You want to produce a cylindrical water container with a capacity of 350mL. What dimensions will minimize the amount of material required for the container?
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Optimization Calculus

07/25/17

Find two numbers such that: - The second number is 8 less than 3 times the first number. - The difference between the first number squared and the second number
Hey this is one question ive been struggling with in calc, if anyone could help that would be great thanks 
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Optimization

07/24/17

Optimization Problem
Hello, newbie here. I need help bad y'all. I was given an optimization problem and it is due Tomorrow. I thought I had it figured out so I was about to turn it in until another classmate said the... more
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Optimization Quadratics

06/16/17

Area optimization
A metal wire, 40 cm long, is cut in two and each piece bent to form a square. If the sum of their areas is 58 cm^2, who long is each piece of wire?
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Optimization Precalculus Math Help

05/30/17

Optimization
lite manufactures two types of light: type A is a solar-powered light; type B requires batteries. In one day, the company can make at most 55 of type A and 65 of type B. Type A requires 4 hours to... more
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Optimization Math Precalculus Math Help

05/18/17

Optimization (inequality)
The following model represents an optimization problem. Determine the maximum solution.  What is the Optimization model:   Restrictions: x, y is an element of real... more
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05/11/17

Optimization problem? Please help!!!
Given two numbers with a difference of 14, find the minimum for the sum of 4 times the larger number and the square of the smaller number. 
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Optimization Calculus 1

04/14/17

A cylinder with open top with radius r and height h has surface area 8 cm2 . Find the largest possible volume of such a cylinder?
A cylinder with open top with radius r and height h has surface area 8 cm^2 . Find the largest possible volume of such a cylinder?
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