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 values: 0=-20cos(-4x) (maximum...

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 values: 0=-20cos(-4x) (maximum...

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...

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...

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?

An open rectangular box is to be made from a 9X12 piece of tin by cutting squares of side x from the corners and folding up the sides. What should X be to maximize the volume of the box?

A 384 square meter plot of land ts to be enclosed by a fence and divided into two equal parts by another fence parallel to one pair sides. What dimensions of the outer rectangle will minimize the...

Hey this is one question ive been struggling with in calc, if anyone could help that would be great thanks

Two sides of a triangle have lengths a and b and the angle between them is angle theta. What value of angle theta will maximize the triangle's area? Use the formula A=1/2absintheta.

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?

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...

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.

The following model represents an optimization problem. Determine the maximum solution. What is the Optimization model: Restrictions: x, y is an element of real numbers Constraints: x≥0 y≥0 x+2y≤6 2x-y<3 Objective...

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?

a rectangular field with a partition is to be enclosed with a fence against an existing wall, so that no fence is needed on that side. The material for the fence cost $3/ft. for the two end sides...

Design a fuel tank that will hold 300 liters of fuel. The shape must be a cylindrical tube with two rounded ends. The side wall (cylinder part) costs $.10 per cm^2 to make while the rounded tops cost...

I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemispheres attached to each end. The side wall (the cylinder...

Upper whitlock gaming makes video games for teens. The two most popular games are the I Dig game and the vista cruiser game.The company knows from past experience that they sell at most twice as many...

find two numbers whose sum is 20, if the product of one by the cube of the other is to be a maximum?

I need the answer later pls

a rectangular field of 1350 ft^2 is to be enclosed with a fence against an existing wall, so that no fence is needed on that side. The material for the fence cost $3/ft. for the two end sides perpendicular...

What is the minimum number of feet of fencing needed to create a rectangular garden with an area of 576ft? I keep getting 144 as my answer but my friend says it wrong.. Please help...