DP Mathematical Studies Questionbank

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Directly related questions

• 18M.2.sl.TZ2.6f: Given that y = 2x3 − 9x2 + 12x + 2 = k has three solutions, find the possible values of k.
• 18M.2.sl.TZ2.6e: Show that the stationary points of the curve are at x = 1 and x = 2.
• 18M.2.sl.TZ2.6d: Find \(\frac{{{\text{dy}}}}{{{\text{dx}}}}\).
• 18M.2.sl.TZ2.6c: Find the value of y when x = 1 .
• 18M.2.sl.TZ2.6b: A teacher asks her students to make some observations about the curve. Three students...
• 18M.2.sl.TZ2.6a: Sketch the curve for −1 < x < 3 and −2 < y < 12.
• 18M.2.sl.TZ1.4e: Sketch the graph of y = f (x) for 0 < x ≤ 6 and −30 ≤ y ≤ 60.Clearly indicate the minimum...
• 18M.2.sl.TZ1.4d: Write down the two values of x which satisfy f (x) = 0.
• 18M.2.sl.TZ1.4c: Use your answer to part (b) to show that the minimum value of f(x) is −22 .
• 18M.2.sl.TZ1.4b: Using your value of k , find f ′(x).
• 18M.2.sl.TZ1.4a: Find the value of k.
• 10N.2.sl.TZ0.5e: Sketch the graph of f (x) for \( - 5 \leqslant x \leqslant 7\) and...
• 12N.2.sl.TZ0.5f: (i) Sketch the graph of y = g(x) for −2 ≤ x ≤ 5 and −15 ≤ y ≤ 25, indicating clearly your answer...
• 12M.1.sl.TZ1.4b: Sketch the graph of y = f (x) on the axes below for 0 ≤ x ≤ 4 . Mark clearly on the sketch the...
• 12M.2.sl.TZ1.5h: Sketch the tangent to the graph of f (x) at x = −1 on your diagram for (a).
• 12M.2.sl.TZ1.5a: Sketch the graph of y = f (x) for −3 ≤ x ≤ 6 and −10 ≤ y ≤ 10 showing clearly the axes intercepts...
• 11N.2.sl.TZ0.5c: The sketch below shows the graph of the function, \(h(t)\) , for the height above ground of C,...
• 09M.2.sl.TZ1.5f: Sketch the graph of the function f, for −3 ≤ x ≤ 6 and −7 ≤ y ≤ 15. Indicate clearly the point P...
• 11M.2.sl.TZ1.3b: Sketch the graph of the function \(y = f(x)\) for \( - 5 \leqslant x \leqslant 5\) and...
• 11M.2.sl.TZ2.5e: Sketch the graph of \(f(x)\) for \( - 10 \leqslant x \leqslant 10\) and...
• 08M.2.sl.TZ1.1a: Sketch the graph of the function \(f(x)\), for \( - 10 \leqslant x \leqslant 10\) . Indicating...
• 13N.1.sl.TZ0.10a: Sketch the graphs of \(y = f(x)\) and \(y = g(x)\) on the axes below. Indicate clearly the points...
• 13N.2.sl.TZ0.4d: The graph of the function \(f(x)\) has a local minimum at the point where \(x =  - 2\). Sketch...
• 15M.2.sl.TZ1.5f: The graph of \(y = f(x)\) has a local minimum point at \(x = 4\). Sketch the graph of...
• 15M.2.sl.TZ2.5e: Let \(T\) be the tangent to the graph of \(f\) at \(x =  - 2\). Sketch the graph of \(f\) for...
• 15M.2.sl.TZ2.5f: Let \(T\) be the tangent to the graph of \(f\) at \(x =  - 2\). Draw \(T\) on your sketch.