QI.a) In R",the circular cylinder x+y= 36 is intersected by the plane y +z= 6. find a vector valued function r(t) 3(x(t).y(t).z(t)) that's described the curve formed by the intersection of these two surface. b)Find r(t) =fr/t dt where r7(t) = (e2t, Vt, sint), and r(0) = (0,0,0).

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Q1.a) In R',the circular cylinder x+y 36 is intersected by the plane y +z= 6. find a vector valued function r(t)
= ( x(t).y(t).z(t) ) that's described the curve formed by the intersection of these two surface.
b)Find r(t) =f r/t dt where r7 (t) = (e2t, Vt, sint), and r(0) = (0,0,0).
Transcribed Image Text:Q1.a) In R',the circular cylinder x+y 36 is intersected by the plane y +z= 6. find a vector valued function r(t) = ( x(t).y(t).z(t) ) that's described the curve formed by the intersection of these two surface. b)Find r(t) =f r/t dt where r7 (t) = (e2t, Vt, sint), and r(0) = (0,0,0).
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