DP Mathematics HL Questionbank
Geometric interpretation using slope fields, including identification of isoclines.
| Path: |
Description
[N/A]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...
