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W AutoSave Off H 2 MAT 291(Test 3-2005) - Compatibility Mode▪ Saved Search File Home Insert Draw Design Layout References Mailings Review View Help Question 1(a). If V = x²+ y²+², express in its simplest form: x- Question 1(b). av dx av av Əz (15) The base radius of a cone, is decreasing at the rate of 0.1 cm/s while the perpendicular height, h, is increasing at the rate of 0.2 cm/s. Find the rate at which the volume, V, is changing when r = 2 cm and h = 3 cm. Question 2(a). Evaluate the integral: Question 2(b). Determine the following integral: /3 sin x dx (1+ cos x)² dx Si √√√(x+2)(4-x) Question 3(a). Find the mean value of y 5 2-x-3x² between x = and x = + 3 3 13 Question 3(b). (15) (15) (20) (15) The parametric equations of a curve are x=a costsin t, and y = a cost sin² t. Show that the area enclosed by the curve between t = 0 and t = π παλ 1S -units² 2 32 Page 1 of 1 177 words English (United States) Text Predictions: On Accessibility: Unavailable (20) CK Comments Editing Share Focus + 100%

W AutoSave Off H 2 MAT 291(Test 3-2005) - Compatibility Mode▪ Saved Search File Home Insert Draw Design Layout References Mailings Review View Help Question 1(a). If V = x²+ y²+², express in its simplest form: x- Question 1(b). av dx av av Əz (15) The base radius of a cone, is decreasing at the rate of 0.1 cm/s while the perpendicular height, h, is increasing at the rate of 0.2 cm/s. Find the rate at which the volume, V, is changing when r = 2 cm and h = 3 cm. Question 2(a). Evaluate the integral: Question 2(b). Determine the following integral: /3 sin x dx (1+ cos x)² dx Si √√√(x+2)(4-x) Question 3(a). Find the mean value of y 5 2-x-3x² between x = and x = + 3 3 13 Question 3(b). (15) (15) (20) (15) The parametric equations of a curve are x=a costsin t, and y = a cost sin² t. Show that the area enclosed by the curve between t = 0 and t = π παλ 1S -units² 2 32 Page 1 of 1 177 words English (United States) Text Predictions: On Accessibility: Unavailable (20) CK Comments Editing Share Focus + 100%

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 44E
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W AutoSave Off H 2 MAT 291(Test 3-2005) - Compatibility Mode▪ Saved Search File Home Insert Draw Design Layout References Mailings Review View Help Question 1(a). If V = x²+ y²+², express in its simplest form: x- Question 1(b). av dx av av Əz (15) The base radius of a cone, is decreasing at the rate of 0.1 cm/s while the perpendicular height, h, is increasing at the rate of 0.2 cm/s. Find the rate at which the volume, V, is changing when r = 2 cm and h = 3 cm. Question 2(a). Evaluate the integral: Question 2(b). Determine the following integral: /3 sin x dx (1+ cos x)² dx Si √√√(x+2)(4-x) Question 3(a). Find the mean value of y 5 2-x-3x² between x = and x = + 3 3 13 Question 3(b). (15) (15) (20) (15) The parametric equations of a curve are x=a costsin t, and y = a cost sin² t. Show that the area enclosed by the curve between t = 0 and t = π παλ 1S -units² 2 32 Page 1 of 1 177 words English (United States) Text Predictions: On Accessibility: Unavailable (20) CK Comments Editing Share Focus + 100%
Transcribed Image Text:W AutoSave Off H 2 MAT 291(Test 3-2005) - Compatibility Mode▪ Saved Search File Home Insert Draw Design Layout References Mailings Review View Help Question 1(a). If V = x²+ y²+², express in its simplest form: x- Question 1(b). av dx av av Əz (15) The base radius of a cone, is decreasing at the rate of 0.1 cm/s while the perpendicular height, h, is increasing at the rate of 0.2 cm/s. Find the rate at which the volume, V, is changing when r = 2 cm and h = 3 cm. Question 2(a). Evaluate the integral: Question 2(b). Determine the following integral: /3 sin x dx (1+ cos x)² dx Si √√√(x+2)(4-x) Question 3(a). Find the mean value of y 5 2-x-3x² between x = and x = + 3 3 13 Question 3(b). (15) (15) (20) (15) The parametric equations of a curve are x=a costsin t, and y = a cost sin² t. Show that the area enclosed by the curve between t = 0 and t = π παλ 1S -units² 2 32 Page 1 of 1 177 words English (United States) Text Predictions: On Accessibility: Unavailable (20) CK Comments Editing Share Focus + 100%
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