DP Mathematics HL Questionbank
Related rates of change.
Description
[N/A]Directly related questions
- 17M.2.hl.TZ1.8b: Calculate \(\frac{{{\text{d}}\theta }}{{{\text{d}}t}}\) when \(\theta = \frac{\pi }{3}\).
- 12N.1.hl.TZ0.8a: Find the gradient of the tangent to the curve at the point \((\pi ,{\text{ }}\pi )\) .
- 11M.2.hl.TZ2.9: A rocket is rising vertically at a speed of \(300{\text{ m}}{{\text{s}}^{ - 1}}\) when it is 800...
- SPNone.2.hl.TZ0.9: A ladder of length 10 m on horizontal ground rests against a vertical wall. The bottom of the...
- 13M.1.hl.TZ1.5: Paint is poured into a tray where it forms a circular pool with a uniform thickness of 0.5 cm. If...
- 10M.2.hl.TZ2.10: A lighthouse L is located offshore, 500 metres from the nearest point P on a long straight...
- 13M.2.hl.TZ2.13f: The point P moves across the street with speed \(0.5{\text{ m}}{{\text{s}}^{ - 1}}\). Determine...
- 11N.2.hl.TZ0.9: A stalactite has the shape of a circular cone. Its height is 200 mm and is increasing at a rate...
- 11M.2.hl.TZ1.14b: If the water in the glass evaporates at the rate of 3 cm3 per hour for each cm2 of exposed...
- 09N.2.hl.TZ0.12: (a) The circular Ferris wheel has a radius of 10 metres and is revolving at a rate of 3...
- 09M.2.hl.TZ1.9: (a) Given that \(\frac{{{\text{d}}y}}{{{\text{d}}t}} = 0.001r\) , show that...
- 09M.2.hl.TZ2.10: (a) show that the rate of change of \({\rm{H}}\hat {\text{P}}{\text{Q}}\) is \(0.16\) radians...
- 14M.1.hl.TZ1.9: A curve has equation \(\arctan {x^2} + \arctan {y^2} = \frac{\pi }{4}\). (a) Find...
- 14M.2.hl.TZ2.9: Sand is being poured to form a cone of height \(h\) cm and base radius \(r\) cm. The height...
- 15M.2.hl.TZ1.5: A bicycle inner tube can be considered as a joined up cylinder of fixed length \(200\) cm and...
- 14N.2.hl.TZ0.4: Two cyclists are at the same road intersection. One cyclist travels north at...
