
#1
Sep2510, 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)(xx0 + yy0)^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. 


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