Integrate f (x comma y comma z )equalsx plus startroot y endroot minus z squared over the path from (0 comma 0 comma 0 )to (3 comma 9 comma 3 )given by upper
c 1: r(t)equalst iplust squaredj, 0 less than or equals t less than or equals 3 upper
c 2: r(t)equals3iplus9jplustk, 0 less than or equals t less than or equals 3.

(05.08a)triangle abc is transformed to similar triangle a′b′c′ below: a coordinate plane is shown. triangle abc has vertices a at 2 comma 6, b at 2 comma 4, and c at 4 comma 4. triangle a prime b prime c prime has vertices a prime at 1 comma 3, b prime at 1 comma 2, and c prime at 2 comma 2. what is the scale factor of dilation? 1 over 2 1 over 3 1 over 4 1 over 5

Rhombus adef is inscribed into a triangle abc so that they share angle a and the vertex e lies on the side bc . what is the length of the side of the rhombus if ab=c, and ac=b.

Jane’s favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5: 2: 3. chapter reference how much punch can she make if she has only 6 cups of plum juice?