Evaluate the line integral c f · dr, where c is given by the vector function r(t). F(x, y, z) = (x y2) i xz j (y z) k, r(t) = t2 i t3 j − 2t k, 0 ≤ t ≤ 2.

The lines shown below are parallel. if the green line has a slope of -1, what is the slope of the red line

Three times the sum of a number and seven is negative thirty-six. what is the number?

Dexter read 11 science fiction books and 5 history books. lena read 9 science fiction books and 4 history books. compare the students’ ratios of science fiction books to history books. 1. determine the ratios’ form:    science fiction books to history books 2. write the ratios as fractions:    dexter: 115; lena: 94 3. rewrite with a common denominator. 4. compare. 5. answer the question. determine which shows the correct comparison of the ratios for this problem.