Pre-Calc Homework Solutions 414

Pre-Calc Homework Solutions 414 - 414 Section 10.4 x(t y(t...

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44. (a) Let r ( t ) 5 k x ( t ), y ( t ) l . E b a k r ( t ) dt 5 E b a k kx ( t ), ky ( t ) l dt 5 k E b a kx ( t ) dt , E b a ky ( t ) dt l 5 k k E b a x ( t ) dt , k E b a y ( t ) dt l 5 k k E b a x ( t ) dt , E b a y ( t ) dt l 5 k E b a k x ( t ), y ( t ) l dt 5 k E b a r ( t ) dt (b) Let r 1 ( t ) 5 k x 1 ( t ), y 1 ( t ) l and r 2 ( t ) 5 k x 2 ( t ), y 2 ( t ) l . E b a ( r 1 ( t ) 6 r 2 ( t )) dt 5 E b a ( k x 1 ( t ), y 1 ( t ) l 6 k x 2 ( t ), y 2 ( t ) l ) dt 5 E b a k x 1 ( t ) 6 x 2 ( t ), y 1 ( t ) 6 y 2 ( t ) l dt 5 k E b a ( x 1 ( t ) 6 x 2 ( t )) dt , E b a ( y 1 ( t ) 6 y 2 ( t )) dt l 5 k E b a x 1 ( t ) dt 6 E b a x 2 ( t ) dt , E b a y 1 ( t ) dt 6 E b a y 2 ( t ) dt l 5 k E b a x 1 ( t ) dt , E b a y 1 ( t ) dt l 6 k E b a x 2 ( t ) dt , E b a y 2 ( t ) dt l 5 E b a r 1 ( t ) dt 6 E b a r 2 ( t ) dt (c) Let C 5 k C 1 , C 2 l , r ( t ) 5 k x ( t ), y ( t ) l . E b a C ? r
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