DP Mathematics SL Questionbank

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Directly related questions

• 18M.2.sl.TZ1.7b: Hence find the value of n such that $\sum\limits_{k = 1}^n {{x_k} = 861}$.
• 18M.2.sl.TZ1.7a: Given that xk + 1 = xk + a, find a.
• 10M.2.sl.TZ1.8a: Use the cosine rule to show that ${\rm{AC}} = \sqrt {41 - 40\cos x}$ .
• 10M.2.sl.TZ1.8c: (i)     Hence, find x, giving your answer to two decimal places. (ii)    Find AC .
• 10M.2.sl.TZ1.8d(i) and (ii): (i)     Find y. (ii)    Hence, or otherwise, find the area of triangle ACD.
• 10M.2.sl.TZ1.8b: Use the sine rule in triangle ABC to find another expression for AC.
• 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.TZ2.5a: On the diagram above, sketch the graph of g.
• 10M.2.sl.TZ2.5b: Solve $f(x) = g(x)$ .
• 10M.2.sl.TZ2.5c: Write down the set of values of x such that $f(x) > g(x)$ .
• 08M.2.sl.TZ1.10c: There are two values of x for which the gradient of f is equal to the gradient of g. Find both...
• 08M.2.sl.TZ1.4b: Solve the equation $f(x) = 1$ .
• 08M.2.sl.TZ2.10b(i) and (ii): At the end of 2000 there were $25600$ people in the city who used taxis. After n years the...
• 09M.2.sl.TZ2.3: Solve the equation ${{\rm{e}}^x} = 4\sin x$ , for $0 \le x \le 2\pi$ .
• 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...
• 11M.2.sl.TZ1.9b(i) and (ii): (i)     Find $f'(x)$ . (ii)    Show that $f''(x) = (4{x^2} - 2){{\rm{e}}^{ - {x^2}}}$ .
• 11M.2.sl.TZ1.9a: Identify the two points of inflexion.
• 11M.2.sl.TZ1.9c: Find the x-coordinate of each point of inflexion.
• 11M.2.sl.TZ1.9d: Use the second derivative to show that one of these points is a point of inflexion.
• 13M.2.sl.TZ1.9b: Solve $f(x) = 95$ .
• 13M.2.sl.TZ2.10b: Consider all values of $m$ such that the graphs of $f$ and $g$ intersect. Find the value of...
• 14N.2.sl.TZ0.9c: Find the smallest value of $n$ for which ${v_n} > {u_n}$.
• 15N.2.sl.TZ0.9e: During which year were the number of coyotes the same as the number of foxes?