## Download Calculus Using Mathematica. Scientific Projects and by K. D. Stroyan PDF By K. D. Stroyan

Calculus utilizing Mathematica

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Extra resources for Calculus Using Mathematica. Scientific Projects and Mathematical Background

Example text

The only forces we need to consider before the jumper is L feet below the bridge are the force of gravity and air resistance. According to Newton's Law, the force of gravity is Fg = m g = w — 32 m where F9 = the force of gravity in pounds m w = = m = the mass of the jumper in slugs the weight of the jumper in pounds w 32 65 The force of gravity is equal to the jumpers weight, which for this project we will assume is 160 pounds. In other words, his mass is 5 slugs. This means the force of gravity is constantly 160 pounds (s.

1. You should verify that at 100 ft/sec = 68 mph, there is a 63 pound force on the diver due to air resistance. How much is the force at 133 mph (not 133 ft/sec)? VARIABLES There are an awful lot of letters flapping in the breeze. Let's settle on some basic variables: h = the height of the jumper above the canyon floor, in feet t = the time, in seconds, measured so that t = 0 when he jumps In terms of these variables, we have h(0) = HQ = 1053, the height of the bridge. 1. 2. ma NoteBook. We have solved for 5 seconds in the Notebook and found a speed of 121 ft/sec downward.

This problem illustrates a number of basic ideas which are generalized in symbolic differentiation formulas and the numerical answer may surprise you, besides. Do you think it increases by a thimble, a bucket or a bathtub? Most solids expand when they are heated in familiar temperature ranges. ) Scientific tables list 'coefficients of expansion' in units of l/(units of temperature). 0 x 10~ 6 approx. The fact that different solids expand at different rates makes some interesting engineering problems in structures built from different materials.