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MBA IT, Mater in Science and Technology
Devry
Jul-1996 - Jul-2000
Professor
Devry University
Mar-2010 - Oct-2016
i have attached the questions i need its answer as soon as possible please Â
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Math 273-02, Written Assignment 2 Name: ID#: I prefer that you submit your answers on a printed copy of this document, like it’s a quiz or exam. However,
you may instead rewrite the questions by hand before solving them. Staple sheets together, in order. Be neat.
Always give enough work and clear explanation so that fellow students could follow what you did
(from start to finish) just by reading your paper. Numbers in [ ] give point values for each question.
√
1. Suppose the position of a particle (as a function of time) is given by r(t) = h cos(Ï€t), sin(Ï€t), t i.
[4] (a) Find the velocity, speed and acceleration functions for this particle. should be (-1,0,3)
[4] (b) Find equation(s) which describe the line that’s tangent to the graph of r at the point (0, −1, 3). [4] (c) Using only your brain, graph the curve r for 0 ≤ t ≤ 4. 2. Suppose the position of an object (as a function of time) is given by r(t) = h5 − 3t, t2 , 2 i.
[4] (a) Find simplified expressions for the tangential acceleration aT , normal acceleration aN , and curvature κ(t). [4] (b) By hand, find the distance this object travels from t = 0 to t = 2. You may use this formula:
Z p
p
xp 2
a2
ln(x + a2 + x2 ) + C
a2 + x2 dx =
a + x2 +
2
2
√
I want a simplified answer involving ln and .
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