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Related Rates Visualizer
AP Calculus AB ยท Unit 4: Contextual Applications
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t
0.00 s
r
โ
A
โ
dA/dt
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RATES OVER TIME
Scenario
Balloon
Ladder
Cone Tank
Shadow
Given Rate (dr/dt or dx/dt)
2.00
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Playback Speed
0.5ร
1ร
2ร
Related Rates Solution
๐ Quick Quiz
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1. A balloon's radius grows at 2 cm/s. When r=5 cm, dV/dt equals:
100ฯ cmยณ/s
200ฯ cmยณ/s
50ฯ cmยณ/s
500ฯ cmยณ/s
2. A 10-ft ladder slides down a wall. If the foot moves at 1 ft/s and is 6 ft from the wall, how fast does the top slide?
โ3/4 ft/s
3/4 ft/s
โ6/8 ft/s
โ4/3 ft/s
3. In related rates problems, you must differentiate with respect to:
x
t (time)
y
the given variable
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