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3 Unit A2 1: Pure Mathematics (A-level only)

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Question 194

In a precision manufacturing process, the vertical deflection vvv (in mm) of a control arm is governed by the input signal voltage uuu (in V), according to the function v=4πarcsin⁡(u−2)v = \frac{4}{\pi} \arcsin(u - 2)v=π4​arcsin(u−2). The graph of this function is plotted for its full natural domain, and it is strictly increasing between its two endpoints, LLL and MMM. Point MMM represents the state at which both the voltage and the deflection are at their maximum possible values.

State the coordinates of the endpoint MMM.

Select the correct answer from the options below:

(3,2)(3,π2)(2,0)(1,−2) (3, 2) \quad\quad (3, \frac{\pi}{2}) \quad\quad (2, 0) \quad\quad (1, -2) (3,2)(3,2π​)(2,0)(1,−2)
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3 Unit A2 1: Pure Mathematics (A-level only) Questions

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