Register to reply

Estimating maximum error

by alsvt
Tags: error, estimating, maximum
Share this thread:
Sep25-10, 02:56 PM
P: 4
1. The problem statement, all variables and given/known data
Suppose that T is to be found from the formula T = x(e^y + e^-y), where x and y are found to be 2 and ln2 with maximum possible errors of |dx| = 0.1 and |dy| = 0.02. Estimate the maximum possible error in the computed value of T.

2. Relevant equations
|E| <= (0.5M)(|x-x0| + |y-y0|)^2

3. The attempt at a solution
I really didn't know how to approach this, because I don't understand how to find M (the upper bound). I went ahead and found the partial derivatives with respect to x and y, and the linear approximation, which were...

T(x,y) = 5
Tx(x,y) = 5/2
Ty(x,y) = 3
L(x,y) = (5/2)x + 3y - 3ln2

I'm pretty sure the solution is something along the lines of |E| <= (0.5M)(0.1 + 0.02)^2

My main problem is I don't understand how to find M. Any help is appreciated, thanks.
Phys.Org News Partner Science news on
Scientists discover RNA modifications in some unexpected places
Scientists discover tropical tree microbiome in Panama
'Squid skin' metamaterials project yields vivid color display

Register to reply

Related Discussions
Estimating error in slope of a regression line Set Theory, Logic, Probability, Statistics 21
Estimating the maximum possible percentage error Calculus & Beyond Homework 8
Error Estimating Calculus & Beyond Homework 4
Approximate Integration (Estimating Error) Calculus & Beyond Homework 0
Estimating maximum velocity of a car General Physics 3