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,

the answer is c)8

step-by-step explanaction:

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.