1. For the function z x + y, show that its uncertainty is oz-(o2+o)12 2. For the function z = xy, show that its uncertainty is o, z*((o/x )2 + (oyly))1/2. HINT: start with o,/z and simply the algebra 3. For the following functions, a) solve for o, and b) redefine your solution in terms of z. (HINT: start with o,/2 and simply the algebra) z Ayx, where we assume A is a constant 1/2 where we assume A is a constant ZEA(x/y) 4. In this problem, w f (x, y, z), where we know the values of the measured quantities x, y and z. The results are given as x (5.1+0.1)m, y (9015)cm and z (4.1+0.1)m (a) Now let's say that the function w x-y-z. Solve for w = w+ w based on the results (b) From (a), how many sigmas does the theoretical value w 0 fall into? Based on this number, do the measurements agree with the accepted value of w (explain briefly)?

1. For the function z x + y, show that its uncertainty is oz-(o2+o)12 2. For the function z = xy, show that its uncertainty is o, z*((o/x )2 + (oyly))1/2. HINT: start with o,/z and simply the algebra 3. For the following functions, a) solve for o, and b) redefine your solution in terms of z. (HINT: start with o,/2 and simply the algebra) z Ayx, where we assume A is a constant 1/2 where we assume A is a constant ZEA(x/y) 4. In this problem, w f (x, y, z), where we know the values of the measured quantities x, y and z. The results are given as x (5.1+0.1)m, y (9015)cm and z (4.1+0.1)m (a) Now let's say that the function w x-y-z. Solve for w = w+ w based on the results (b) From (a), how many sigmas does the theoretical value w 0 fall into? Based on this number, do the measurements agree with the accepted value of w (explain briefly)?

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.CT: Test

Problem 11CT: aIf HP=4, PJ=5, and PM=2, find LP. _ bIf HP=x+1, PJ=x1, LP=8, and PM=3, find x. _

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