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This is the Exam of Calculus Indefinite Integrals, Limits, Explanation, Curve Parametrized, Involve the Variables etc. Key important points are: Indicated, Derivatives, Functions, Simplify, Graphs, Four Function, Spaces, Planation is Required, Curve, Implicit DiErentiation
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sin(2x)
Answer
s(t) = t^4 − 4 t^3 + 2
(2a) (1 mark) Find the velocity and acceleration at time t.
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(2b) (3 marks) When is the particle speeding up? When is the particle slowing down?
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(3a) (1 mark) Show that (1, −1) and (− 1 , 1) lie on the curve.
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(3b) (1 mark) Find another point on the curve different from the points in (3a).
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Answer
f (x) = x
8 x + 1.
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