a) Estimate the area under the graph of f(x) = 7 + 4x2 from x = −1 to x = 2 using three rectangles and right endpoints. R3 = R6 = Sketch the curve and the approximating rectangles for R3 Sketch the curve and the approximating rectangles for R6.
a) Estimate the area under the graph of f(x) = 7 + 4x2 from x = −1 to x = 2 using three rectangles and right endpoints. R3 = R6 = Sketch the curve and the approximating rectangles for R3 Sketch the curve and the approximating rectangles for R6.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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a) Estimate the area under the graph of
f(x) = 7 + 4x2 from x = −1 to x = 2
using three rectangles and right endpoints.
R3 =
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?
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