1.7.14 Stationary points

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Question 24

An automated solar tracker follows a path defined by the function

H(\phi) = \phi^4 + 12\phi^2 + 24\cos \phi

for $−π≤ϕ≤π-\pi \le \phi \le \pi$ , where $H$ is the vertical displacement in decimeters and $ϕ\phi$ is the angle of rotation in radians. Determine whether the curve with equation $H(\phi)$ has a point of inflection at the point where $ϕ=0\phi = 0$ . Fully justify your answer.

[5]

1.7.14 Stationary points

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Question 24

An automated solar tracker follows a path defined by the function

H(\phi) = \phi^4 + 12\phi^2 + 24\cos \phi

for $−π≤ϕ≤π-\pi \le \phi \le \pi$ , where $H$ is the vertical displacement in decimeters and $ϕ\phi$ is the angle of rotation in radians. Determine whether the curve with equation $H(\phi)$ has a point of inflection at the point where $ϕ=0\phi = 0$ . Fully justify your answer.

[5]

1.7.14 Stationary points

Question 24

1.7.14 Stationary points Questions

1.7.14 Stationary points

Question 24

1.7.14 Stationary points Questions