6
- 3 \end{array} \right)$$ where \(t\) is a scalar parameter.
The point \(A\) lies on \(l\).
Given that the shortest distance between \(A\) and \(\Pi\) is \(2 \sqrt { 29 }\)
(c) determine the possible coordinates of \(A\).
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5. Prove by induction that for all positive integers \(n\) $$f ( n ) = 3 ^ { 2 n + 4 } - 2 ^ { 2 n }$$ is divisible by 5
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6. In this question you must show detailed reasoning. Find \(\int _ { 2 } ^ { \infty } \frac { 1 } { 4 + x ^ { 2 } } \mathrm {~d} x\).
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