Asked by Johnnie

If the area under the curve of f(x) = 25 - x^2 from x = -4 to x = 0 is estimated using four approximating rectangles and left endpoints, will the estimate be an underestimate or overestimate?

1) Underestimate

2) Overestimate

3) The area will be exact

Answers

Answered by Damon
GRAPH IT(0at x=-5, 9 at x=-4, 25 at x=0
dy/dx = -2 x
d^2y/dx^2 =-2
This curve curves down (sheds water, d^2y/dx^2 <0 ) while the slope is positive for negative x
Therefore those rectangles do not fill the space under the curve.
Answered by Arora
In the given region, the graph is moving downwards.

Left endpoint approximation does not cover the entire region, and will hence give an underestimate.
Answered by Johnnie
thank you
Answered by Damon
It is not moving downwards. It is curving downwards :)
There are no AI answers yet. The ability to request AI answers is coming soon!

Related Questions