Find the steady-state temperature at the center of the plate

Assignment Help Mathematics
Reference no: EM13189371

A rod occupying the interval 0<=x<=l is subject to the heat source
f(x) = 0, for 0 < x < l/2
f(x)= H > 0, for l/2 < x < l.

The rod satisfies the heat equation Ut = Uxx + f(x) and its ends are kept at zero temperature. Find the steady-state temperature.

 

Reference no: EM13189371

Questions Cloud

What was the amount of each loan : Cole's student loans totaled $31,000. One of his loans was at 2.8% simple interest and the other at 4.5%. After one year, Cole owed $1024.40 in interest. What was the amount of each loan.
Create a corresponding xmlschema file : A simple database with a single table contains data concerning car registration. The table contains four fields that store data relating to registration number (unique), make of car, year of manufacture and car colour
What is the volume in cubic centimeters of a tablet : what is the volume in cubic centimeters of a tablet weighing 330mg that has density of 1.40cm ?
Where the is curve and the lm curve are of normal shapes : During the recent recession, when countries around the world suffered high unemployment rates and the governments were experiencing huge budget deficits, economists debated whether to raise or cut taxes or to raise or cut government spending.
Find the steady-state temperature at the center of the plate : The rod satisfies the heat equation Ut = Uxx + f(x) and its ends are kept at zero temperature. Find the steady-state temperature.
Did the labor productivity ratio increase or decrease : The ABC Company has a large order for special uniforms to be used in an urgent operation. Working the normal two shifts of 40 hours each per week, the ABC production process usually produces 2, 500 uniforms per week at a standard cost of $120 each..
How much did it cost before big ed marked it down : Marsha bought a boat at a clearance sale from Big Ed's Boats. She bought it for $12,000, which was 35% off of the original price. How much did it cost before Big Ed marked it down?
What is the ratio of their profit : A, B started business with 50000,60000, C joined later after x months invested 70000 and B withdraws before x months to end of the year. Then what is the ratio of their profit?
Determine the break-even sales (units) for the following: : For the coming year, no changes are expected in revenues and costs, except that a new wage contract will increase variable costs by $6 per unit.

Reviews

Write a Review

Mathematics Questions & Answers

  Determine the probability of obtaining a defective phone

Use your simulation results to determine the probability of obtaining a defective phone for each simulation if an outcome of 1 or 2 is considered to be a defective phone, showing all work.

  Probability- binomial approximation to normal distribution

Probability: Binomial approximation to normal distribution. In a large university, 30% of the incoming first-year students elect to enroll in a personal finance course offered by the university

  Finding directional derivatives

Consider the function f(x,y,z)= e^xy cos(x+z). What is the directional derivative for f at the point P(0, -pie/6, pie/3) in the direction u parallel to i - j + 2k

  Compute the union and intersection of two sets

How can you compute the union and intersectio of two sets, using some of the methods that the set interfce provides? hint: your code should not be bigger than four lines

  What are the limits of the study

Interpret the results and draw onclusions that address the question posed in the case problem. What are the limits of the study? Write at least one paragraph.

  Calculate the following future value

calculate the following future value:

  Linear equations-inequalities problems

How many solution sets do systems of linear inequalities have? Must solutions to systems of linear inequalities satisfy both inequalities?

  Detailed explanation to mathematics-other

Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.

  Determining equation of circle

A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept

  The derivative from the rate of changes

The derivative from the rate of changes

  Use an inequality to find the number of candies

It takes 16 minutes to set up a candy making machine. Once the machine is set up, it produces 30 candies per minute. Use an inequality to find the number of candies that can be produced in 5 hours if the machine has not yet been set up.

  Connectivity and edge-connectivity

Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity

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