Evaluate the line integral over c ∫(x + y)ds where c is the line segment from (0,1,1) to (3,2,2). i've parameterized c as 3ti + (1+t)j + (1+t)k, and i get the result 3√(11). is that correct?

Yes, you are correct!!!

The result is

Step-by-step explanation:

The given line integral is

, where C is the line segment from to .

First we need to get the direction vector,

The parametric equation now becomes,

.

.

We parameterize the curve with the equations,

and

.

The line integral now becomes,

use formula for the circle a=3.14

step-by-step explanation:

from the figure we get,

the x axis shows   the months and,

the y-axis shows the number of satisfied customer.

each line or each cell in upward direction (y-axis) shows 500.

the appropriate scale for the y - axis is: -

a = 2000 customers

b = 4000 customers

c = 6000 customers

d = 8000 customers

e = 10000 customers

f = 12000 customers

g = 14000 customers