Question

Use inscribed rectangles to approximate the area under f(x) = –x2 + 7 for the –2 ≤ x ≤ 0 and rectangle width 0.5.

10.75 units2

10.25 units2

9.30 units2

9.75 units2
Michele_Laino

Answer 1

@whpalmer4

Answer 2

@mathmale

Answer 3

@Michele_Laino

Answer 4

do you know @robtobey

Answer 5

The attachment is from the Integral Calculus.
34/3 is the exact area.
Approximations in general will not give an exact answer but can come
close if the number of approximating rectangles are large in number.

This site is now, not allowing any of my attachments to be posted.

I guess it's nearly adios for openstudy.
Started with the first openstudy implementation when there were only
1100 participants a long time ago.

Answer 6

we have to start from the drawing of the function \(y=-x^2+7\)

Answer 7

ok so what do we do with that?

Answer 8

here is such graph; it is a parabola like this: