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(a) Estimate the area under the graph of f(x) = 3 + 4x2 from x =...

(a) Estimate the area under the graph of f(x) = 3 + 4x2 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 andR6.

(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 the approximating rectangles for M3 and M6.

(d) From your sketches in parts (a)-(c), which appears to be the best estimate?

A) L6

B) M6

C) R6

Solutions

Expert Solution

milcah answered 2 years ago
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