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At what point of curve y=2/3x^3+1/2x^2, ...

At what point of curve `y=2/3x^3+1/2x^2,` the tangent makes equal angle with the axis? (a) `(1/2,2/(24))a n d(-1,-1/6)` (b) `(1/2,4/9)a n d(-1,0)` (c) `(1/3,1/7)a n d(-3,1/2)` (d) `(1/3,4/(47))a n d(-1,-1/3)`

A

`((1)/(2),(4)/(24))and (-1,-(1)/(6))`

B

`((1)/(2),(4)/(9))and(-1,0)`

C

`((1)/(3),(1)/(7))and(-3,(1)/(2))`

D

`((1)/(3),(4)/(47))and (-1,-(1)/(3))`

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A
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