Evaluate the integralF dr F(x, y)-(8x2 + y)i + (5x-cos nj where C is the boundary of the region R that is Inside the square with vertices (O. o), (5. 0), (S.5), (0, 5) but is outside the rectangle with vertices (1. 1), (4. 1), (4.2), (1.2).Assume that C is oriented so that the repion R is on the let when the boundary is traversed in the direction of its orientation. F dr- exact number, no tolerance Click if you would like to Show Work for this question:

20

step-by-step explanation:

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

5

step-by-step explanation:

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.