Determine the T Intervals on Which the Curve $x = 6 t ^ { 2 } , y = t ^ { 3 } - 3 t \text { is concave }$

question 110

Multiple Choice

Determine the t intervals on which the curve $x = 6 t ^ { 2 } , y = t ^ { 3 } - 3 t \text { is concave }$ downward or concave upward.

• A) concave downward: \(- \infty < t < 0\); concave upward: \(0 < t < \infty\)
• B) concave downward: \(0 < t < \infty\); concave upward: \(- \infty < t < 0\)
• C) concave downward: \(- 6 < t < 3\); concave upward: \(0 < t < 3\)
• D) concave downward: \(- 6 < t < 0 ;\) concave upward: \(0 < t < \infty\)
• E) concave downward: \(- \infty < t < 0\); concave upward: \(0 < t < 3\)

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