At what points of curve \[y=\frac{2}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}},\] the tangent makes equal angle with the axis?

\[\left( \frac{1}{2},\frac{4}{9} \right)\] and \[(-1,0)\]

\[\left( \frac{1}{2},\frac{5}{24} \right)\] and \[\left( -1,-\frac{1}{6} \right)\]

\[\left( \frac{1}{3},\frac{1}{7} \right)\] and \[\left( -3,\frac{1}{2} \right)\]

\[\left( \frac{1}{3},\frac{4}{47} \right)\] and \[\left( -1,-\frac{1}{3} \right)\]

At what points of curve \[y=\frac{2}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}},

1.	At what points of curve \[y=\frac{2}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}},\] the tangent makes equal angle with the axis?
A.	\[\left( \frac{1}{2},\frac{5}{24} \right)\] and \[\left( -1,-\frac{1}{6} \right)\]
B.	\[\left( \frac{1}{2},\frac{4}{9} \right)\] and \[(-1,0)\]
C.	\[\left( \frac{1}{3},\frac{1}{7} \right)\] and \[\left( -3,\frac{1}{2} \right)\]
D.	\[\left( \frac{1}{3},\frac{4}{47} \right)\] and \[\left( -1,-\frac{1}{3} \right)\]
Answer» B. \[\left( \frac{1}{2},\frac{4}{9} \right)\] and \[(-1,0)\]

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At what points of curve \[y=\frac{2}{3}{{x}^{3}}+\frac{1}{2}{{x}^{2}},\] the tangent makes equal angle with the axis?

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