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QI) Evaluate (four only) : (a) S dx (e) S X-1 dx Vx2-2x+1 (b) O stectx tanx 4+secx (d) S e*cosx dx (Inx) dx (e) Q2) A- Find the volume of the solid generated by revolving region bounded by curve y= Vx + 1 and lines (y- 0), (x- 3) about (x =- 1). B- Solve the D.E.: y- - e* =0, y()=1. Q3) A- Using Simpson's Rule to estimate the area of the circle (r4), e (1, 0) with (n-4). B- Prove that : (1) ) (tan x see'x (2) elns Q4) A- Find the volume of the solid generated by revolving the region between parabola(y-4-xj and the line G-2), about (y- i). B- Find the area between the curve (x-y) and the line (y-2-x) ot "quadrant.

QI) Evaluate (four only) : (a) S dx (e) S X-1 dx Vx2-2x+1 (b) O stectx tanx 4+secx (d) S e*cosx dx (Inx) dx (e) Q2) A- Find the volume of the solid generated by revolving region bounded by curve y= Vx + 1 and lines (y- 0), (x- 3) about (x =- 1). B- Solve the D.E.: y- - e* =0, y()=1. Q3) A- Using Simpson's Rule to estimate the area of the circle (r4), e (1, 0) with (n-4). B- Prove that : (1) ) (tan x see'x (2) elns Q4) A- Find the volume of the solid generated by revolving the region between parabola(y-4-xj and the line G-2), about (y- i). B- Find the area between the curve (x-y) and the line (y-2-x) ot "quadrant.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Q1) Evaluate (four only): (a) S dx x-1 (b) S dx () S dx V2-2+1 J9- (d) Se cosx dx (Inx)3 dx O Ssectx tanx xp: (e 4+secx Q2) A- Find the volume of the solid generated by revolving region bounded by curve y= vx+1 and lines (y-0), (x 3) about (x I). B- Solve the D.E.: y.-e =0, y()=1. 03) A- Using Simpson's Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4). tan x = see'x (2) elns B- Prove that : (1) Q4) A- Find the volume of the solid generated by revolving the region between parabola(y = 4-x) and the line y=2), about (y= i). B- Find the area between the curve (x-y') and the line (y-2-x) at "quadrant. .....
Transcribed Image Text:Q1) Evaluate (four only): (a) S dx x-1 (b) S dx () S dx V2-2+1 J9- (d) Se cosx dx (Inx)3 dx O Ssectx tanx xp: (e 4+secx Q2) A- Find the volume of the solid generated by revolving region bounded by curve y= vx+1 and lines (y-0), (x 3) about (x I). B- Solve the D.E.: y.-e =0, y()=1. 03) A- Using Simpson's Rule to estimate the area of the circle (r-4), c (1, 0) with (n=4). tan x = see'x (2) elns B- Prove that : (1) Q4) A- Find the volume of the solid generated by revolving the region between parabola(y = 4-x) and the line y=2), about (y= i). B- Find the area between the curve (x-y') and the line (y-2-x) at "quadrant. .....
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