Let C denote the positively oriented boundary of the half disk 0 ≤ r ≤ 1, 0 ≤ θ ≤ π, and let f (z) be a continuous function defined on that half disk by writing f (0) = 0 and using the branch f (z) = √ reiθ/2 r > 0,−π 2 < θ < 3π 2 of the multiple-valued function z1/2. Show that C f (z) dz = 0 by evaluating separately the integrals of f (z) over the semicircle and the two radii which make up C. Why does the Cauchy–Goursat theorem not apply here?

.5 lb

step-by-step explanation:

12 in / 6 in =2 in

.25 x 2 = .5 lb

i dont know i just need points

exa:

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3+11

14

step-by-step explanation:

from this example, we can see that subtracting with integers is the same as adding the opposite. we can solve using a number line or by using the saying "keep, change, change" to us solve. it is important to remember that we can subtract a negative and end up with a larger number than we started with.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional