(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 R_{3 and}R₆.

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

L₃	=
L₆	=

Sketch the curve and the approximating rectangles for L₃ and L_6.

M₃

M₆

Sketch the curve and the approximating rectangles for M₃ and M_6.

(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 1 year ago

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