Applied Calculus Principles And Applications Essentials for Students And Engin

Cover Applied Calculus Principles And Applications Essentials for Students And Engin
Applied Calculus Principles And Applications Essentials for Students And Engin
Robert Gibbes Thomas
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Is the change uniform for u ?
2. U = x 2 . (a) Show graphically the change in u when x is given an increment, by taking x as the side of a variable square, and u as the area. Show graphically the change in u if the change became uniform. (6) Show same when x is taken as the base of a variable right triangle of altitude 2 x, and u as the area. Show the change in u if the change became uniform.
3. V = x 3 . Show graphically the change in V when x is given an increment, if the change in V became u
...niform; x being the side of a variable cube, and V the volume of the cube.
4. If a body is moving with uniform velocity and passes over 1000 feet in 10 seconds, what is its velocity at any point? If distance is taken as axis of ordinates and time as axis of abscissas, what would the slope of the graph be ?
5. S = 16 1 2 . Compute the values of s when t = 1, 2, 1. 1, 1. 01, 1. 001. Get the average velocity between t = 1 and t = 2, between t = 1 and t = 1. 1, between t = 1 and t = 1. 01, between t = 1 and t = 1.


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