. (d) Estlimate the area under the graph of f(x) = from x = = sin x 0 to x = T/2 using four approximating rect- angles and right endpoints. Sketch the graph and the rectangles. Is your estimate an underestimate or an overestimate? (b) Repeat part (a) using left endpoints.

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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dilu fight endpoints. Sketch the graph and the rectangles.
Is
se.
your
estimate an underestimate or an overestimate?
(b) Repeat part (a) using left endpoints.
4. (a) Estimate the area under the graph of f(x) = sin x
from x =
0 to x = T/2 using four approximating rect-
angles and right endpoints. Sketch the graph and the
rectangles. Is
overestimate?
your estimate an underestimate or an
(b) Repeat part (a) using left endpoints.
Ma
5. (a) Estimate the area under the graph of f(x) = 1 + x² from
-1 to x = 2 using three rectangles and right end-
points. Then improve your estimate by using six rect-
angles. Sketch the curve and the approximating
rectangles.
X =
%3|
ie
s (b) Repeat part (a) using left endpoints.
(c) Repeat part (a) using midpoints.
(d) From your sketches in parts (a)-(c), which estimate
appears to be the most accurate?
?
A 6. (a) Graph the function
Transcribed Image Text:dilu fight endpoints. Sketch the graph and the rectangles. Is se. your estimate an underestimate or an overestimate? (b) Repeat part (a) using left endpoints. 4. (a) Estimate the area under the graph of f(x) = sin x from x = 0 to x = T/2 using four approximating rect- angles and right endpoints. Sketch the graph and the rectangles. Is overestimate? your estimate an underestimate or an (b) Repeat part (a) using left endpoints. Ma 5. (a) Estimate the area under the graph of f(x) = 1 + x² from -1 to x = 2 using three rectangles and right end- points. Then improve your estimate by using six rect- angles. Sketch the curve and the approximating rectangles. X = %3| ie s (b) Repeat part (a) using left endpoints. (c) Repeat part (a) using midpoints. (d) From your sketches in parts (a)-(c), which estimate appears to be the most accurate? ? A 6. (a) Graph the function
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