Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 2 - Limits - 2.1 The Idea of Limits - 2.1 Exercises - Page 59: 11

Answer

$\mathrm{a}.\qquad 36$ $\mathrm{b}.\qquad 44$ $\mathrm{c}.\qquad 52$ $\mathrm{d}.\qquad 60$.

Work Step by Step

$\mathrm{a}.\qquad$Over $[0,2]$, $v_{\mathrm{a}\mathrm{v}}= \displaystyle \frac{s(2)-s(0)}{2-0}=\frac{72-0}{2}=36$. $\mathrm{b}.\qquad$Over $[0,1.5]$, $v_{\mathrm{a}\mathrm{v}}= \displaystyle \frac{s(1.5)-s(0)}{1.5-0}=\frac{66-0}{1.5}=44$. $\mathrm{c}.\qquad$Over $[0,1]$, $v_{\mathrm{a}\mathrm{v}}= \displaystyle \frac{s(1)-s(0)}{1-0}=\frac{52-0}{1}=52$. $\mathrm{d}.\qquad$Over $[0,0.5]$, $v_{\mathrm{a}\mathrm{v}}= \displaystyle \frac{s(0.5)-s(0)}{0.5-0}=\frac{30-0}{0.5}=60$.
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