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)?

Q: 6. Complete the square to get an equivalent expression: 7-6x – x² No integration necessary on this…

A: 6 Given expression is 7−6x−x2. We have to complete the square to get the equivalent expression…

Q: -jx+3 16 x > -8 O D r > 8 x > 8

A:

Q: 04.2 If x=7i-j+k, y = 3í - j - 5k and z = 9i + j - 3k Show that xx (y+z) = (x x y) + (x x z)

A:

Q: The amount of medicine m in the blood during a four-hour treatment is given as me²t = 3t. Determine…

A: The amount of medicine m in the blood during a four hour treatment is given as

Q: (2a® + a² – x – 2)dæ

A:

Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: 1 and h = 2 3 V2 h = unity %3D D 2

A:

Q: Evaluate xy ds, where C is describe by æ = 4t, y= 3t, 0 <t<1. Enter your answer as a number in…

A:

Q: Find a general formula for dr ax + b dx" cx +d

A:

Q: Solve the following for x:

A: Step 1: Step 2: Step 3: Step 4:

Q: Let f (x, y, z) = -12x? – y + 5z?. Calculate Vf (0, 5, 6). %3D (Write your solution using the form…

A: Solution

Q: -6x %3D Find Mak. Value of f(x) = X (Use symbolic ndtation =ox for x>0 fractions where t. needed)

A: Given function :

Q: Compute gxxyz for g(x, y, z) = x7y6z6. (Use symbolic notation and fractions where needed.)

A: We have to find  using given data.Concept required:While finding partial derivative of  w.r.t. , we…