Yahoo Answers: Answers and Comments for Complicated maths question? Need help? [Mathematics]
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Mon, 23 Apr 2012 15:02:18 +0000
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Yahoo Answers: Answers and Comments for Complicated maths question? Need help? [Mathematics]
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From MARK B: h = 10t²
Differentiate.
dh/dt = 20t
h = 500ta...
https://answers.yahoo.com/question/index?qid=20120423150218AAg1Pmw
https://answers.yahoo.com/question/index?qid=20120423150218AAg1Pmw
Mon, 23 Apr 2012 22:11:24 +0000
h = 10t²
Differentiate.
dh/dt = 20t
h = 500tan(x)
Differentiate.
dh/dx = 500sec²(x)
dx/dt = dx/dh dh/dt
dx/dt = dh/dt ÷ dh/dx
dx/dt = 20t ÷ 500sec²(x)
dx/dt = 20t ÷ 500(1 +tan²x)
dx/dt = t ÷ 25(1 + tan²x)
At t = 10, h = 1000 and 1000=500tanx so tanx = 2
dx/dt = 10 ÷ 25( 1 + 2²) = 10 ÷ 125 = 0.08 rad/s