Consider S, the curve segment of the curve y = sin(x) from x = 0 to x = π. (a) Complete the following sentence: To find the surface area of the object resulting from revolving S around the x-axis, we can use the integral få f(x) dx where a = Number , b = Number and f(x) = 3 (b) The integral you found in (a) is not an easy integral to evaluate analytically! Instead, use Simpson's rule with 4 subintervals to find an approximation for the integral above. Round to 2 decimal places. Number

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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Consider S, the curve segment of the curve y
=
= sin(x) from x = 0 to x = π.
(a) Complete the following sentence: To find the surface area of the object resulting from revolving S around
the x-axis, we can use the integral ſå f(x) dx where a =
f(x) =
Number , b = Number and
"
(b) The integral you found in (a) is not an easy integral to evaluate analytically! Instead, use Simpson's rule
with 4 subintervals to find an approximation for the integral above. Round to 2 decimal places.
Number
Transcribed Image Text:Consider S, the curve segment of the curve y = = sin(x) from x = 0 to x = π. (a) Complete the following sentence: To find the surface area of the object resulting from revolving S around the x-axis, we can use the integral ſå f(x) dx where a = f(x) = Number , b = Number and " (b) The integral you found in (a) is not an easy integral to evaluate analytically! Instead, use Simpson's rule with 4 subintervals to find an approximation for the integral above. Round to 2 decimal places. Number
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