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In: Math

(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.


Sketch the curve and the approximating rectangles for R6.


(b) Repeat part (a) using left endpoints.

L3 =
L6 =


Sketch the curve and the approximating rectangles for L3.


Sketch the curve and the approximating rectangles for L6.


(c) Repeat part (a) using midpoints.

M3 =
M6 =


Sketch the curve and the approximating rectangles for M3.


Sketch the curve and the approximating rectangles for M6.


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

L6M6    R6

Solutions

Expert Solution

milcah answered 2 years ago
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