Find the work done by the vector field f~ (x, y, z) = 2y~i + e x~j − z 3~k moving a particle along the curve c given by ~r(t) = (t 2 , t2 + 2, t), 0 ≤ t ≤ 1.

20 points! asap! a is known to be 6,500 feet above sea level; ab = 600 feet. the angle at a looking up at p is 20°. the angle at b looking up at p is 35°. how far above sea level is the peak p? find the height of the mountain peak to the nearest foot. height above sea level =

Answer each of the questions for the following diagram: 1. what type of angles are these? 2. solve for x. what does x equal? 3. what is the measure of the angles?

The letters g e o r g i a are placed in a bag . if you picked a card and knew it was a vowel , what is the probability that it is an a ?