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...