\"A Calculus Test 1 Spring 2016 X LN Mathway! Math Problems..d Chegg.com I integ

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"A Calculus Test 1 Spring 2016 X LN Mathway! Math Problems..d Chegg.com I integral symbol-Google s + x +wwwwebassign.net/web/Student/Assignment-Responses/submit?dep=13238844 a search Your last submission is used for your score 1. +-/6.25 points LarCalc10 5.1.074.MI. My Notes +Ask Your Teacher Use implicit differentiation to find OY dx In xy + 6x = 35 dy dx Submit Answer Save Progress 2. + 6.25 points LarCalc10 5.2.008 My Notes Ask Your Teacher Find the indefinite integral. (Remember to use In(lul) where appropriate. Use C for the constant of integration.) x2 dx My Notes Ask Your Teacher My Notes Ask Your Teacher Firefox automatically sends some data to Mozilla so that we can improve your experience. Choose What I Share x 5:55 PM 2/29/2016

Explanation / Answer

lnxy+6x=35

lnx+lny+6x=35

derivative both sides

1/x+1/y y' +6=0

1/y * y' = -6-1/x

y' = y( -6x-1)/x

y' = y/x *(-6x-1)    answer

b) integral ( x^2) dx/(3-x^3)

by substitution   u= 3-x^3

du=-3x^2dx

du/-3 =x^2dx

-1/3 integral du/u   = -1/3 ln |u| =-1/3 ln|3-x^3| +c answer

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