DP Mathematics SL Questionbank

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Directly related questions

• 16M.2.sl.TZ1.2b: Find the area of the region enclosed by the graphs of $f$ and $g$.
• 16M.2.sl.TZ1.2a: Solve $f(x) = g(x)$.
• 16N.2.sl.TZ0.4b: Hence, find the area of the region enclosed by the graphs of $f$ and $g$.
• 12N.2.sl.TZ0.9a: Sketch the graph of f , for $- 1 \le x \le 5$ .
• 12N.2.sl.TZ0.9b: This function can also be written as $f(x) = {(x - p)^2} - 3$ . Write down the value of p .
• 12N.2.sl.TZ0.9c: The graph of g is obtained by reflecting the graph of f in the x-axis, followed by a translation...
• 12N.2.sl.TZ0.9d: The graph of g is obtained by reflecting the graph of f in the x-axis, followed by a translation...
• 12N.2.sl.TZ0.9e: The graph of $g$ is obtained by reflecting the graph of $f$ in the x-axis, followed by a...
• 08N.2.sl.TZ0.9c(i) and (ii): The graph of f and the line L intersect at the point (0, 1) and at a second point P. (i)    ...
• 08M.2.sl.TZ1.10a(i) and (ii): Let A be the area of the region enclosed by the curves of f and g. (i)     Find an expression...
• 08M.2.sl.TZ2.9e(i) and (ii): Let R be the region enclosed by the curve $y = f(x)$ and the line L. (i)     Find an...
• 10N.1.sl.TZ0.10a(i), (ii) and (iii): (i)     Show that the gradient of [PQ] is $\frac{{{a^3}}}{{a - \frac{2}{3}}}$ . (ii)    Find...
• 10N.1.sl.TZ0.10b: Given that the area of T is $2k + 4$ , show that k satisfies the equation...
• 09N.2.sl.TZ0.9d: Let R be the region enclosed by the graphs of f and g . Find the area of R.
• 10M.2.sl.TZ1.9a: Show that $A = 10$ .
• 10M.2.sl.TZ1.9b: Given that $f(15) = 3.49$ (correct to 3 significant figures), find the value of k.
• 10M.2.sl.TZ1.9c(i), (ii) and (iii): (i)     Using your value of k , find $f'(x)$ . (ii)    Hence, explain why f is a decreasing...
• 10M.2.sl.TZ1.9d: Let $g(x) = - {x^2} + 12x - 24$ . Find the area enclosed by the graphs of f and g .
• 11M.2.sl.TZ1.6: Let $f(x) = \cos ({x^2})$ and $g(x) = {{\rm{e}}^x}$ , for $- 1.5 \le x \le 0.5$ . Find...
• 13N.1.sl.TZ0.10e: The graph of $g$ intersects the graph of $f'$ when $x = q$. Let $R$ be the region...
• 18M.2.sl.TZ1.4c: Find the area of the region enclosed by the graphs of f and g.
• 18M.2.sl.TZ1.4b: On the grid above, sketch the graph of g for −2 ≤ x ≤ 4.
• 18M.2.sl.TZ1.4a: Write down the coordinates of the vertex of the graph of g.
• 17N.1.sl.TZ0.8c: Find the $x$-coordinate of Q.
• 17N.1.sl.TZ0.8d: Find the area of the region enclosed by the graph of $f$ and the line $L$.
• 17N.1.sl.TZ0.8b: Find the equation of $L$ in the form $y = ax + b$.
• 17N.1.sl.TZ0.8a: Show that $f’(1) = 1$.
• 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.TZ1.10b.i: Find $\int_{0.111}^{3.31} {\left( {h(x) - x} \right){\text{d}}x}$.
• 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 $h$;