DP Mathematics SL Questionbank

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• 18M.2.sl.TZ2.3b: The region enclosed by the graph of $f$, the y-axis and the x-axis is rotated 360° about the...
• 18M.2.sl.TZ2.3a: Find the x-intercept of the graph of $f$.
• 18M.1.sl.TZ1.5b: Part of the graph of f is shown in the following diagram. The shaded region R is enclosed by...
• 18M.1.sl.TZ1.5a: Find $\int {{{\left( {f\left( x \right)} \right)}^2}{\text{d}}x}$.
• 17M.2.sl.TZ2.8d: Let $R$ be the region enclosed by the graph of $f$ , the $x$-axis, the line $x = b$ and...
• 17M.2.sl.TZ2.8c.ii: Find the the rate of change of $f$ at B.
• 17M.2.sl.TZ2.8c.i: Find the coordinates of B.
• 17M.2.sl.TZ2.8b.ii: Write down the rate of change of $f$ at A.
• 17M.2.sl.TZ2.8b.i: Write down the coordinates of A.
• 17M.2.sl.TZ2.8a: Find the value of $p$.
• 17M.1.sl.TZ1.10c: Let $y = \frac{1}{{\cos x}}$, for $0 < x < \frac{\pi }{2}$. The graph of $y$between...
• 17M.1.sl.TZ1.10b: Given that $\tan \theta  > 0$, find $\tan \theta$.
• 17M.1.sl.TZ1.10a: Show that $\cos \theta  = \frac{3}{4}$.
• 16N.2.sl.TZ0.9a: Find the initial velocity of $P$.
• 16N.2.sl.TZ0.6b: The empty barrel is being filled with water. The volume $V{\text{ }}{{\text{m}}^3}$ of water in...
• 16N.2.sl.TZ0.6a: Use the model to find the volume of the barrel.
• 12N.1.sl.TZ0.3a: Find $\int_4^{10} {(x - 4){\rm{d}}x}$ .
• 12N.1.sl.TZ0.3b: Part of the graph of $f(x) = \sqrt {{x^{}} - 4}$ , for $x \ge 4$ , is shown below. The...
• 08N.2.sl.TZ0.4c: The graph of f is revolved $360^\circ$ about the x-axis from $x = 0$ to  $x = a$ . Find...
• 08M.1.sl.TZ2.9c: Let $g(x) = \sqrt 3 \sin x{(\cos x)^{\frac{1}{2}}}$ for $0 \le x \le \frac{\pi }{2}$ . Find...
• 12M.2.sl.TZ1.4a: Find k .
• 12M.2.sl.TZ1.4b: The shaded region is rotated $360^\circ$ about the x-axis. Let V be the volume of the solid...
• 12M.2.sl.TZ1.4c: The shaded region is rotated $360^\circ$ about the x-axis. Let V be the volume of the solid...
• 10M.1.sl.TZ1.6: The region enclosed by the curve of f and the x-axis is rotated $360^\circ$ about the...
• 09N.1.sl.TZ0.10d: The region R is rotated $360^\circ$ about the x-axis. Find the volume of the solid formed,...
• 09M.1.sl.TZ1.7: The graph of $y = \sqrt x$ between $x = 0$ and $x = a$ is rotated $360^\circ$ about the...
• 09M.2.sl.TZ2.8b: Find the volume of the solid formed when R is rotated through ${360^ \circ }$ about the x-axis.
• 10N.2.sl.TZ0.8a: Find the value of a and of b .
• 10N.2.sl.TZ0.8b: The graph of f has a maximum value when $x = c$ . Find the value of c .
• 10N.2.sl.TZ0.8c: The region under the graph of f from $x = 0$ to $x = c$ is rotated ${360^ \circ }$ about...
• 10N.2.sl.TZ0.8d: Let R be the region enclosed by the curve, the x-axis and the line $x = c$ , between $x = a$...
• SPNone.2.sl.TZ0.9c(i) and (ii): Let R be the region in the first quadrant enclosed by the graph of h , the x-axis and the line...
• 14M.1.sl.TZ1.3b: The following diagram shows part of the graph of $f$.     The shaded region $R$ is...
• 14M.2.sl.TZ2.2b: The region enclosed by the graph of $f$ and the $x$-axis is revolved $360^\circ$ about the...
• 13N.2.sl.TZ0.2b: The region enclosed by the graph of $f$ and the $x$-axis is rotated $360^\circ$ about the...
• 14N.2.sl.TZ0.4c: The region enclosed by the graph of $f$ and the $x$-axis is rotated $360°$ about the...
• 15N.2.sl.TZ0.3c: The region enclosed by the graph of $f$, the $x$-axis and the line $x = 10$ is rotated...