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.