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# w1h - Douglass Houghton Workshop Section 1 Mon Worksheet...

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Douglass Houghton Workshop, Section 1, Mon 10/3/11 Worksheet Harbinger of Things to Come 1. Explain how you might use two long rulers to add numbers mechanically. (Example: find 2 + 3 with two 6-inch rulers.) 2. Explain how a slide rule is able to multiply numbers. It might help to recall that this picture: 1 2 3 4 5 6 7 8 9 10 0 1 2 represents the function ln( x ) if we find x on the top scale and read downward. Note that the bottom scale is just like a regular ruler, in some units. 3. (This problem appeared on a Fall, 2008 Math 115 Exam) The speed of sound, v ( T ) (in miles per hour), at an ambient temperature, T (in degrees Fahrenheit), is given by: v ( T ) = 740 + 0 . 4 T. Objects which travel faster than the speed of sound create sonic booms. However, the ambient temperature T in the Troposphere also decreases with height h (in miles) from the earth’s surface according to the equation T ( h ) = - 26 h + T 0 , where T 0 is the temperature at the surface. (a) Find a formula which will give the speed of sound S as a function of height h ,

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w1h - Douglass Houghton Workshop Section 1 Mon Worksheet...

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