If s 2 3t 5t - 4 find frac dy dx when t frac 4 ... - JAMB Mathematics 2009 Question
If s = (2 + 3t)(5t - 4), find (\frac{dy}{dx}) when t = (\frac{4}{5}) sec
A
0 units per sec.
B
15 units per seconds
C
22 units per seconds
D
26 units per seconds
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Correct Option: C
s = (2 + 3t)(5t - 4), find (\frac{dy}{dx}) when t = (\frac{4}{5}) sec
= 10t - 8 + 15t2 - 12t
(\frac{ds}{dt}) = 15t2 - 2t - 8
= 30t - 2 ; t = (\frac{4}{5})
= 30t - 2
= 30 x (\frac{4}{5}) - 2 (\to) 24 - 2
= 22 sec
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