Connected Rates of Change (Edexcel A-Level Mathematics): Quizzes

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Connected Rates of Change
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What are connected rates of change also known as?

Related rates

Which differentiation method is used in Step 3 of solving related rates problems?

Implicit differentiation

What sign should the rate have if a quantity is decreasing?

Negative

In the conical tank with height 1212 m and base radius 66 m, what is rr in terms of hh?

r=h2r = \frac{h}{2}

If drdt=2\frac{dr}{dt} = 2 cm/s and r=5r = 5 cm for a circle, what is dAdt\frac{dA}{dt}?

20π20\pi cm2^2/s

Which area is NOT listed as a common application of related rates?

Economics

What is the first step in solving related rates problems?

Identify the quantities involved

If drdt=0.2\frac{dr}{dt} = 0.2 cm/s for a circle, what is dPdt\frac{dP}{dt}?

0.4π0.4\pi cm/s

If dAdt=0.4πr=20\frac{dA}{dt} = 0.4\pi r = 20 cm2^2/s for a circle, what is rr?

50π\frac{50}{\pi} cm

If dAdt=−0.5\frac{dA}{dt} = -0.5 cm2^2/s and r=8r = 8 cm, what is drdt\frac{dr}{dt}?

−132π\frac{-1}{32\pi} cm/s

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Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

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Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

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Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

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Differentiation

Applications of Differentiation

Further Differentiation

Further Applications of Differentiation

Implicit Differentiation

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