DP Mathematics SL Questionbank

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Directly related questions

• 18M.1.sl.TZ2.9c: Given that there is a minimum value for C, find this minimum value in terms of \(\pi \).
• 18M.1.sl.TZ2.9b: Show that \(C = 20\pi {r^2} + \frac{{320\pi }}{r}\).
• 18M.1.sl.TZ2.9a: Express h in terms of r.
• 17N.1.sl.TZ0.7: Consider \(f(x) = \log k(6x - 3{x^2})\), for \(0 < x < 2\), where \(k > 0\). The...
• 16M.1.sl.TZ2.9d: Fred paints the outside of the container. A tin of paint covers a surface area of...
• 16M.1.sl.TZ2.9c: Given that the outside surface area is a minimum, find the height of the container.
• 16M.1.sl.TZ2.9b: Find \(A'(x)\).
• 16M.1.sl.TZ2.9a: Show that \(A(x) = \frac{{108}}{x} + 2{x^2}\).
• 08M.1.sl.TZ2.10e: Find a value of \(\theta \) for which S has its greatest value.
• 09N.2.sl.TZ0.7: The fencing used for side AB costs \(\$ 11\) per metre. The fencing for the other three sides...
• 09M.1.sl.TZ1.8c: (i)     Find \(\frac{{{\rm{d}}A}}{{{\rm{d}}\theta }}\) . (ii)    Hence, find the exact value of...
• 11M.2.sl.TZ2.10a: Show that the area of the window is given by \(y = 4\sin \theta + 2\sin 2\theta \) .
• 11M.2.sl.TZ2.10b: Zoe wants a window to have an area of \(5{\text{ }}{{\text{m}}^2}\). Find the two possible values...
• 11M.2.sl.TZ2.10c: John wants two windows which have the same area A but different values of \(\theta \) . Find all...
• 13M.2.sl.TZ1.9e: Find the maximum rate of change of \(f\) .
• 14M.2.sl.TZ1.10c: The vertical and horizontal asymptotes to the graph of \(f\) intersect at the...
• 14M.2.sl.TZ1.10d: The vertical and horizontal asymptotes to the graph of \(f\) intersect at the...
• 17M.2.sl.TZ1.10c: Let \(d\) be the vertical distance from a point on the graph of \(h\) to the line \(y = x\)....
• 17M.2.sl.TZ1.10b.ii: Hence, find the area of the region enclosed by the graphs of \(h\) and \({h^{ - 1}}\).
• 17M.2.sl.TZ1.10a.iii: Write down the value of \(k\).
• 17M.2.sl.TZ1.10a.i: Write down the value of \(q\);
• 17M.2.sl.TZ1.10a.ii: Write down the value of \(h\);
• 14N.1.sl.TZ0.10d: There is a minimum value for \(d\). Find the value of \(a\) that gives this minimum value.