passpadi

2019

Mathematics

JAMB

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

A.

50 units per sec

B.

35 units per sec

C.

22 units per sec

D.

13 units per sec

Correct Answer: 35 units per sec

Explanation

s=(4t+3)(t−2) ds/dt=(4t+3)(1)+(t−2)(4) = 4t+3+4t−8 = 8t - 5 ds/dt(t=5secs)=8(5)−5 = 40 - 5 = 35 units per sec

s=(4t+3)(t−2) ds/dt=(4t+3)(1)+(t−2)(4) = 4t+3+4t−8 = 8t - 5 ds/dt(t=5secs)=8(5)−5 = 40 - 5 = 35 units per sec
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