Applications (Related Rates)
30 tutor-authored questions for this Ontario curriculum expectation, ordered easiest to hardest, every one with a full worked solution. Work through all 30 with your weekly-lesson access code.
Sample: the first question, solved
A circle's radius increases at 3cm/s. Find how fast the area increases when r=4cm (A=πr²).
📘 Worked solution
✓Differentiating A=πr² with respect to time gives dA/dt=2πr(dr/dt); at r=4 with dr/dt=3, dA/dt=2π(4)(3)=24π≈75.40 cm²/s.
And one from the hard end
In the balloon/angle-of-elevation related rates setup, why does sec²(θ) appear when differentiating tan(θ)=h/x with respect to time?
Solution shown after you try it in practice mode.
Work through all 30, easiest to hardest
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