Use lagrange multipliers

Assignment Help Mathematics
Reference no: EM13203558

Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. (If a value does not exist, enter NONE.)

f(x,y,z) = x4 + y4 + z4; x2 + y2 + z2 = 1

 

Reference no: EM13203558

Questions Cloud

Do it matter whether temporary increase in military spending : Alternatively, suppose that the temporary increase in government purchases is for infrastructure (roads, sewers, bridges, etc) rather than for military purposes. The government spending on infrastructure makes private investment more productive, i..
Calculate the side length of a square with same area : the surface area of the moon is 37 932 330 km2. Calculate the side length of a square with same area.
How many textbooks of each type were sold : A textbook store sold a combined total of 243 physics and math textbooks in a week. The number of math textbooks sold was 55 less than the number of physics textbooks sold. How many textbooks of each type were sold?
Define a pair of linear equations in two vaiables : Translate the problem into a pair of linear equations in two vaiables. Solve the equations using either elimination or substitution. State your answer for both variables
Use lagrange multipliers : Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraints. (If a value does not exist, enter NONE.)
Describe the event more heads than tails : Describe the event "more heads than tails" in terms of the sample space.
What price will it set and how much money will it make : Suppose that a paper mill "feeds" a downstream box mill. For the downstream mill, the marginal profitability of producing boxes declines with volume. The 1st unit of boxes increases earnings by $10, the 2nd by $9, the third $7, and so on, until th..
Find what is the probability that the mean interest rate : What is the probability that the mean interest rate in this sample is within .2 of the national average? Show all work clearly
What is its effective annual percent growth rate : An investment grows by 35% over a 6-year period. What is its effective annual percent growth rate?

Reviews

Write a Review

Mathematics Questions & Answers

  Find the profit on the of liquid soap

Six liters of liquid soap were bought for $11.40 per liter. The soap was repackaged in 150-mililliliter plastic containers. The cost of each container was $.26. Each container of soap sold for $3.29 per bottle. Find the profit on the 6 liters of l..

  The probability of a bit error in a memoryless binary

The probability of a bit error in a memoryless binary symmetric communication channel is 10^-3. Find the probability of a block of 1000 bits

  Determining direction derivative

Find the directional derivative at P(-2,2,-1) in the direction of Q(18,-2,4). Find the direction of maximum decrease at P. (your answer does not have to be unit vector.) What is the maximum rate of decrease?

  Find the maximum area of the ?eld

A farmer wants to fence o a rectangular ?eld and then divide the ?eld in half with a fence down the middle (see diagram below). If he can only a ord 240 ft. of fencing material, what is the width y which gives the maximum area of the ?eld?

  Largest domain of function

What is the largest domain over which this function is defined? For this domain, what is the corresponding range of the function?

  What is the temperature of the coffee after 16 minutes

A cup of coffee at 187 degrees is poured into a mug and left in a room at 70 degrees. After 4 minutes, the coffee is 133 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) dT/dt=k(T-70).

  Find the break even point

A company has fixed costs of 20,000,and the cost of producing one unit of their product is $10. the unit sell for $20. write an equation for the total cost. write an equation for the total revenue. graph these equations to find the break even poin..

  How long did it take the ball to hit the ground

The height of a ball (in feet) t seconds after it is thrown straight upward is determined by h(t)=16t^2+48t+7. How long did it take the ball to hit the ground?

  How high does the ladder reach on the building

A 23-ft ladder is leaning against a building. If the base of the ladder is 6 ft from the base of the building, what is the angle of elevation of the ladder? How high does the ladder reach on the building?

  Find what is the probability that the mean annual snowfall

What is the probability that the mean annual snowfall during 40 randomly picked years will be between 105 inches and 112 inches?

  Find the rate at which water is being drained

a container in the shape of an inverted right circular coner has a radius of 8 inches at the top and a height of 10 inches. At the instant when teh water in the container is 8 inches deep the surface level is falling at the rate of -1.3in/s. FInd ..

  System of two equations in two unknowns

Write a system of two equations in two unknowns for each problem. Solve each system by substitution.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd