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10. [Maximum mark: 16] In 5x kx Let f(x) = where x > 0, ke Rt. 1- In 5x koxx² The graph off has exactly one maximum poin
Posted: Tue Jul 12, 2022 12:41 pm
by answerhappygod
- 10 Maximum Mark 16 In 5x Kx Let F X Where X 0 Ke Rt 1 In 5x Koxx The Graph Off Has Exactly One Maximum Poin 1 (97.34 KiB) Viewed 43 times
10. [Maximum mark: 16] In 5x kx Let f(x) = where x > 0, ke Rt. 1- In 5x koxx² The graph off has exactly one maximum point P. (b) Find the x-coordinate of P. (a) Show that f'(x) = The second derivative of f is given by f"(x) = point of inflexion Q. Q is 1 e ². (c) Show that the x-coordinate of Q is P 2 ln 5x - 3 kx³ The region R is enclosed by the graph of f, the x-axis, and the vertical lines through the maximum point P and the point of inflexion Q. R The graph of f has exactly one (d) Given that the area of R is 3, find the value of k.