1
answer
0
watching
412
views
29 Mar 2020
(a) Estimate the area under the graph of 
from 
to 
using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles.
(b) Repeat part (a) using left endpoints.
(c) Repeat part (a) using midpoints.
(d) From your sketches in part (a)-(c), which appears to be the best estimate?
(a) Estimate the area under the graph of from to using three rectangles and right endpoints. Then improve your estimate by using six rectangles. Sketch the curve and the approximating rectangles.
(b) Repeat part (a) using left endpoints.
(c) Repeat part (a) using midpoints.
(d) From your sketches in part (a)-(c), which appears to be the best estimate?
Lelia LubowitzLv2
24 May 2020
to
.
and
be the approximations to A with n subintervals using left and right endpoints, respectively.
and
can be resembled to form a single rectangle whose area is the right side of the equation.
using three equal subintervals with (a) right endpoints, (b) left endpoints, and (c) midpoints. If the function is known to be an increasing function, can you say whether your estimates are less than or greater than the exact value of the integral?
