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?

The larger of two number is 4 less than twice the smaller number. the sum is 41. find the numbers

Ametal rod needs to be 9 feet and 5.5 inches in length. the sections of the poles being used are each 1 foot and 10.5 inches long. how many 1ft 10.5in sections would be needed to complete the 9ft 5.5in metal rod? and how many inches of material will be left?

Data from 2005 for various age groups show that for each $100 increase in the median weekly income for whites, the median weekly income of blacks increases by $105. also, for workers of ages 25 to 54 the median weekly income for whites was $676 and for blacks was $527. (a) let w represent the median weekly income for whites and b the median weekly income for blacks, and write the equation of the line that gives b as a linear function of w. b = (b) when the median weekly income for whites is $760, what does the equation in (a) predict for the median weekly income for blacks?