Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 3 - Section 3.4 - Real Zeros of Polynomials - 3.4 Exercises - Page 285: 101

Answer

(a) new snow accumulating (b) No (c) Saturday midnight.

Work Step by Step

The graph is shown. (a) What happened shortly after noon on Tuesday? The time started at Sunday noon with $t=0$, so Tuesday noon is at $t=2$ The snow fall reached a local minimum at $t=2.1, h=3.7in$ which means that there was new snow accumulating after that time. (b) Was there ever more than 5 in. of snow on the ground? If so, on what day(s)? No, the curve shows that no snow fall ever reached above 5 in. (c) On what day and at what time (to the nearest hour) did the snow disappear completely? The height reached zero at about $t=6.5$ which corresponds to Saturday's midnight.
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