133quiz4solution - Quiz 4 solution 1. Compute dy if y = tan...

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Quiz 4 solution 1. Compute dy dx if 12 tan ( 1) yx =− . Simplify your answer. 1 2 2 2 2 11 1 (1 ) ( 2 ) 1( 1 )2 1 dy xx dx x ⎛⎞ = ⎜⎟ +− ⎝⎠ 2. Compute 2 2 0 43 dx x + . 222 2 2 000 3 4 4 3 1 1 4 2 dx dx dx x x 2 x == + + + ∫∫∫ Set 3 2 3 2 x u dx du = = 3 3 2 0 0 1 1 1 tan tan 3 41 3 32 3 2 3 du u u 6 3 π −− = = + = Alternatively, 22 2 2 00 2( 3 ) dx dx x 2 x = + + ∫∫ S e t 3 3 2 ux du dx a = = = () 23 1 0 0 1 1 tan tan 3 tan 0 3 3 2 3 2
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