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January 30, 2015

January 30, 2015

Posted by **Preet** on Monday, November 26, 2012 at 2:08pm.

Round to 3 significant figures

- calculus -
**Steve**, Monday, November 26, 2012 at 2:50pms = (4t)^3 - 3√(1+2t)

ds/dt = 3(4t)^2 * 4 - 3/√(1+2t)

= 12(4t)^2 - 3/√(1+2t)

d2s/dt2 = 12*2(4t)*4 + 3/√(1+2t)^3

= 96(4t) + 3/√(1+2t)^3

Now just plug in t = 3/2 and evaluate

s(3/2) = 6^3 - 3√4 = 216-6 = 210

s'(3/2) = 12(6^2) - 3/√4 = 432-3/2 = 430.5

s''(3/2) = 96(6) + 3/√4^3 = 576+3/8 = 576.375

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