DP Mathematics SL Questionbank
Use of technology to solve a variety of equations, including those where there is no appropriate analytic approach.
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[N/A]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?
