1 Problem with Solution in Assignment | MATH 212, Assignments of Calculus

Material Type: Assignment; Class: MULTIVARIABLE CALCULUS; Subject: Mathematics; University: Rice University; Term: Spring 2005;

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

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Problem 2.5.5
c)
)1)(log(*)(*))log(*(*))log(*(
)2*
2
1
*
1
*)(log*2(
)2*
2
1
*
1
*)(log*2(
)1)(log(*)()
2
1
)(log(*)22(
)22(*
2
1
*
1
*)()log()22(
)log()(
2222
2222
2222
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22
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2222
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t
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dt
df
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dt
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dt
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dt
dy
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f
dt
dx
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df
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Problem 2.5.

c)

( log( ) ) ( log( ) ) ( )*(log( ) 1 )

( 2 *log ( ) *

( 2 log ( ) * ) ( )(log( ) 1 ) 2

( 2 2 )*(log( )

( 2 2 ) log( ) ( ) * ( ) log( ) 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2           

                    t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t t e e e e e e e e e e e e e e dt df y e x e dt dy y x y x y y x y x y dt dx x x y x y x x y x y dt dy y f dt dx x f dt df e e e e e e e e e e e e e e e e e e e e dt df f c e e e e