1. (10 pts) cost in dollars is c=0.001x^2 +1.2x +40 and revenue in dollars is r-5x where x represents units and assume that x21. find the (x, y) coordinates of the maximum of the average profit function. graph the average profit function for 1 s x s1000 units and indicate the coordinates of its maximum value.

What is the rate of change of a line that passes through (2,-5) and (6,-2)?

Read the excerpt from the strange case of dr jekyll and mr. hyde what do dr. jekyll's thoughts reveal about him in this excerpt? [t]he inmates of my house were locked in the most rigorous hours of slumber, and i determined, flushed as i was with hope and triumph, to venture in my new shape as far as to my bedroom. i crossed the yard, wherein the constellations looked down upon me, i could have thought, with wonder, the first creature of that sort that their unsleeping vigilance had yet disclosed to he is jealous of those who can sleep through the night. he is revered for his scientific advances. he is interested in studying the movements of the stars he is proud and enthusiastic about his initial results.

60 2(x + 2) in the diagram, gef and hef are congruent. what is the value of x?