Asked by REALLY NEED HELP!!!!
Estimate the area under the graph of
f(x)=3x^3+5
from x=-1 to x=4, first using 5 approximating rectangles and right endpoints, and then improving your estimate using 10 approximating rectangles and right endpoints.
I'm having problem with using the midpoint to find the area. With 5 rectangle I have 210.625 but I can't figure out how to do the 10 rectangle.
f(x)=3x^3+5
from x=-1 to x=4, first using 5 approximating rectangles and right endpoints, and then improving your estimate using 10 approximating rectangles and right endpoints.
I'm having problem with using the midpoint to find the area. With 5 rectangle I have 210.625 but I can't figure out how to do the 10 rectangle.
Answers
Answered by
bobpursley
again, you cannot estimate to six significant digits.
on the five rectangle, right endpoints, use 4,3,2,1,0 as right endpoints, width 1
area= f(4)*1 + f(3)*1 + ...
now for ten, use 4, 3.5, 3, 2.5....to -.5, then area width is .5
on the five rectangle, right endpoints, use 4,3,2,1,0 as right endpoints, width 1
area= f(4)*1 + f(3)*1 + ...
now for ten, use 4, 3.5, 3, 2.5....to -.5, then area width is .5
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