Question

sketch the region bounded by the line y=x and the parabola y=6-x^2

Answer 1

and find its area

Answer 2

the height of each "rect. area" is (6-x^2)-(x)

Answer 3

thanks, I know y=x but i dnt usually know how to find the parabola. can you tell me how you go about that. and also the froula for area is (integreal sign)ydx

Answer 4

so all we have to do is add up all the heighths*width rect.s from endpoint to endpoint

Answer 5

y=x^2 is your usualy granddaddy parabola; all the parabolas are an alteration of him

Answer 6

when we want to flip x^2 over, we simply place a "-" in front

y=-x^2

to move it up by 6 ...well, we add 6

y = -x^2+6 ; and we can write it as:

y = 6-x^2 for kicks as well

Answer 7

thank much, it make sperfect sense