2/(t-2)3

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Solution for 2/(t-2)3 equation:


D( t )

t-2 = 0

t-2 = 0

t-2 = 0

t-2 = 0 // + 2

t = 2

t in (-oo:2) U (2:+oo)

2/(t-2) > 3 // - 3

2/(t-2)-3 > 0

2/(t-2)+(-3*(t-2))/(t-2) > 0

2-3*(t-2) > 0

8-3*t > 0

(8-3*t)/(t-2) > 0

(8-3*t)/(t-2) > 0 // * (t-2)^2

(8-3*t)*(t-2) > 0

( 8-3*t )

8-3*t > 0 // - 8

-3*t > -8 // : -3

t < -8/(-3)

t < 8/3

( t-2 )

t-2 > 0 // + 2

t > 2

(-oo:2) (2:8/3) (8/3:+oo) 8-3*t + + - t-2 - + +

t in (2:8/3)

(2:8/3)

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