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If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

Mathematics
JAMB 2009

If s = (2 + 3t)(5t - 4), find ds/dt when t = 4/5 secs

  • A. 0 units per sec
  • B. 15 units per sec
  • C. 22 unit per sec
  • D. 26 units per sec
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Correct Answer: Option C
Explanation

x = (2+3t)(5t-4)
Let u = 2+3t ∴du/dt = 3
and v = 5t-4 ∴dv/dt = 5
dx/dt = Vdu/dt + Udv/dt
= (5t-4)3 + (2+3t)5
= 15t - 12 + 10 + 15t
= 30t - 2
= 30x4/5 - 2
= 24 - 2
= 22

There is an explanation video available below.


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Explanation Video

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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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