Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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#212

211. Revisit the 1-foot radius circular saw blade with the one red tooth. Look at the ratio m of the height h to the horizontal dis- placement p, that is m = h/p. The red tooth starts at the rightmost point of the saw and rotates at one degree per second counterclock- wise. What is m after 37 seconds? After 137 seconds? After 237 seconds? After t seconds? Draw by hand a graph that shows how m is a function of the elapsed time t. What does the ratio m = h/p tell you about the line OT from the saw center to the tooth? 1 P T h table 212. (Continuation) The graph of m versus t is an example of a tangent curve. Draw y = tan x on a graphing tool and compare it to the graph you drew in the previous exercise. Use this graph to determine the values of t for which m takes on the following values: 0, 0.5, and -2. How large can m be? Is m defined for all values of t?
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Transcribed Image Text:211. Revisit the 1-foot radius circular saw blade with the one red tooth. Look at the ratio m of the height h to the horizontal dis- placement p, that is m = h/p. The red tooth starts at the rightmost point of the saw and rotates at one degree per second counterclock- wise. What is m after 37 seconds? After 137 seconds? After 237 seconds? After t seconds? Draw by hand a graph that shows how m is a function of the elapsed time t. What does the ratio m = h/p tell you about the line OT from the saw center to the tooth? 1 P T h table 212. (Continuation) The graph of m versus t is an example of a tangent curve. Draw y = tan x on a graphing tool and compare it to the graph you drew in the previous exercise. Use this graph to determine the values of t for which m takes on the following values: 0, 0.5, and -2. How large can m be? Is m defined for all values of t?
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