Barrons AP Calculus - David Bock

(dmanu) #1

  1. (a) 12y 0 + 0.3 = 24 yields y 0 1.975.


(b) Replace x by 0.3 in the equation of the curve:

The calculator’s solution to three decimal places is y 0 = 1.990.
(c) Since the true value of y 0 at x = 0.3 exceeds the approximation, conclude that the given curve is
concave up near x = 0. (Therefore, it is above the line tangent at x = 0.)
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