DP Mathematics HL Questionbank

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Directly related questions

• 18M.3ca.hl.TZ0.5b.ii: Deduce the set of values for $p$ such that there are two points on the curve...
• 18M.3ca.hl.TZ0.5b.i: Show that the $x$-coordinate(s) of the points on the curve $y = f\left( x \right)$ where...
• 18M.3ca.hl.TZ0.5a: Solve the differential equation given that $y =  - 1$ when $x = 1$. Give your answer in the...
• 12M.2.hl.TZ2.12a: Find an expression for v in terms of t .
• 12M.3ca.hl.TZ0.2a: Use Euler’s method, with a step length of 0.1, to find an approximate value of y when x = 0.5.
• 12M.3ca.hl.TZ0.2c: (i)     Solve the differential equation. (ii)     Find the value of a for which...
• 12M.3ca.hl.TZ0.3: Find the general solution of the differential equation...
• 11M.3ca.hl.TZ0.2b: Write down, giving a reason, whether your approximate value for y is greater than or less than...
• 11M.3ca.hl.TZ0.2a: Use Euler’s method with step length 0.1 to find an approximate value of y when x = 0.4.
• 15N.3ca.hl.TZ0.5e: (i)     Sketch the isoclines $x - {y^2} =  - 2,{\text{ }}0,{\text{ }}1$. (ii)     On the same...
• 15N.3ca.hl.TZ0.5d: Explain why $y = f(x)$ cannot cross the isocline $x - {y^2} = 0$, for $x > 1$.
• 15N.3ca.hl.TZ0.5a: Show that the tangent to the curve $y = f(x)$ at the point $(1,{\text{ }}0)$ is normal to the...
• 14N.3ca.hl.TZ0.3a: Sketch, on one diagram, the four isoclines corresponding to $f(x,{\text{ }}y) = k$ where $k$...
• 14N.3ca.hl.TZ0.3b: A curve, $C$, passes through the point $(0,1)$ and satisfies the differential equation...
• 14N.3ca.hl.TZ0.3c: A curve, $C$, passes through the point $(0,1)$ and satisfies the differential equation...