find the area under the curve y=2x-x^2 from x=1 to x=2 with n=4 using
a.) inscribed rectangles
b.) circumscribed rectangles
c.) the trapezoid rule
d.) Midpoint formula
The problem is that I dont remember, so could someone just remind me of the formulas and then explain a little on how to apply them to this situation? No need to show work.
Thanks!
a.) inscribed rectangles
b.) circumscribed rectangles
c.) the trapezoid rule
d.) Midpoint formula
The problem is that I dont remember, so could someone just remind me of the formulas and then explain a little on how to apply them to this situation? No need to show work.
Thanks!
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To find the width of your rectangles it's b-a/n so 2-1/4 1/4.The width is 1/4 per rectangle
I DRUL stands for Inscribed down right up left.Talking about concavity
so 2x-x^2=y
2-2x=y'
-2=y'
this is concave down so they are on the right for inscribed
so
a) change in x(f(1.25)+f(1.5)+f(1.75)+f(2))
b)Circumscribed wil be on left
change in x(f(1)+f(1.25)+f(1.5)+f(1.75))
c) h/2 (f(1)+2f(1.25)+2f(1.5)+2f(1.75)+f(2))
d)Midpint
Change in x(f(1.125)+f(1.375)+f(1.625)+f(1.875)
I DRUL stands for Inscribed down right up left.Talking about concavity
so 2x-x^2=y
2-2x=y'
-2=y'
this is concave down so they are on the right for inscribed
so
a) change in x(f(1.25)+f(1.5)+f(1.75)+f(2))
b)Circumscribed wil be on left
change in x(f(1)+f(1.25)+f(1.5)+f(1.75))
c) h/2 (f(1)+2f(1.25)+2f(1.5)+2f(1.75)+f(2))
d)Midpint
Change in x(f(1.125)+f(1.375)+f(1.625)+f(1.875)