W AutoSave Off ひ MAT 291 (FINAL EXAM, NOV 2010) - Compatibility Mode Saved . Search File Home Insert Draw Design Layout References Mailings Review View Help QUESTION 5: Determine the following integrals (i) √x√1+x²dx (b) [4] [8] 7 7 Find the area enclosed by the curves y = sinx and y = sin2x, between x = 0 and x = x/3. [13] QUESTION 6: (a) Find the volume generated when the plane figure bounded by y=5cos2x, the x-axis and ordinates at x = 0 and x = x/4, rotates about the x-axis through a complete revolution. [10] LO (b) Using Simpson's rule with 8 intervals, evaluate the integral: [√√√(1+x¹³) dx, 02 correct to three decimal places. [15] Page 4 of 4 332 words English (United States) Text Predictions: On Accessibility: Unavailable Comments CK Editing Share Focus + 80%

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.1: Angles
Problem 37E
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QUESTION 5:
Determine the following integrals
(i)
√x√1+x²dx
(b)
[4]
[8]
7 7
Find the area enclosed by the curves y = sinx and y = sin2x, between x = 0
and x = x/3.
[13]
QUESTION 6:
(a)
Find the volume generated when the plane figure bounded by y=5cos2x, the
x-axis and ordinates at x = 0 and x = x/4, rotates about the x-axis through a
complete revolution.
[10]
LO
(b)
Using Simpson's rule with 8 intervals, evaluate the integral: [√√√(1+x¹³) dx,
02
correct to three decimal places.
[15]
Page 4 of 4
332 words English (United States) Text Predictions: On Accessibility: Unavailable
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Transcribed Image Text:W AutoSave Off ひ MAT 291 (FINAL EXAM, NOV 2010) - Compatibility Mode Saved . Search File Home Insert Draw Design Layout References Mailings Review View Help QUESTION 5: Determine the following integrals (i) √x√1+x²dx (b) [4] [8] 7 7 Find the area enclosed by the curves y = sinx and y = sin2x, between x = 0 and x = x/3. [13] QUESTION 6: (a) Find the volume generated when the plane figure bounded by y=5cos2x, the x-axis and ordinates at x = 0 and x = x/4, rotates about the x-axis through a complete revolution. [10] LO (b) Using Simpson's rule with 8 intervals, evaluate the integral: [√√√(1+x¹³) dx, 02 correct to three decimal places. [15] Page 4 of 4 332 words English (United States) Text Predictions: On Accessibility: Unavailable Comments CK Editing Share Focus + 80%
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