a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints.

R3= ???

Then improve your estimate by using six rectangles.

R6= ???

Sketch the curve and the approximating rectangles for R3 and R6?

b) Repeat part (a) using left endpoints.

L3= ???

L6= ???

Sketch the curve and the approximating rectangles for L3 and L6?

c) Repeat part (a) using midpoints.

M3=????

M6=???

Sketch the curve and approximating rectangles for M3 and M6?

d) from your sketched in parts (a)-(c) which appears to be the best estimate??

R6 or M6 or L6 ????

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1. I can't sketch it. The instructions are really clear. Sketch the curve, and limits, draw the rectangles. Put the endpoints on the curve, add the areas.

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bobpursley

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