2009
Mathematics
67ca00ce0c643c71d77dee1f
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
Correct Answer: 22 unit per sec
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
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 = 22THIS WEEK's
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