Find \(a\), if \(y = 2{x^3} + a{x^2} – 24x + 1\) has a maximum at \(x = – 4\).

\(a = \)

Correct

Incorrect

Question 6 of 10

6. Question

A particle \(P\) moves in a straight line with a velocity function of \(s\left( t \right) = {t^3} – 6{t^2} + 1\) metres, where \(t \ge 0\), \(t\) in seconds. Find the total distance travelled for the first 5 seconds.

metres

Correct

Incorrect

Question 7 of 10

7. Question

Find the maximum \(y\)-value given \(y = – 2{x^2} + 8x + 10\) for \(3 \le x \le 5\).