DP Mathematics HL Questionbank

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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...