csat-suneung 2020 Q11

csat-suneung · South-Korea · csat__math-science 3 marks Stationary points and optimisation Find concavity, inflection points, or second derivative properties
How many integers $a$ are there such that the curve $y = a x ^ { 2 } - 2 \sin 2 x$ has an inflection point? [3 points]
(1) 4
(2) 5
(3) 6
(4) 7
(5) 8
How many integers $a$ are there such that the curve $y = a x ^ { 2 } - 2 \sin 2 x$ has an inflection point? [3 points]\\
(1) 4\\
(2) 5\\
(3) 6\\
(4) 7\\
(5) 8