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Using Mathematica Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k. a) Plot...

Using Mathematica

Consider the vector-valued function r(t)=et cos t i+(sin t)/(t+4) j +t k.

a) Plot the curve with t going over the interval [-2, 2].

b) Plot the curve again over the same interval, but this time add the velocity vector in blue at (1, 0, 0) to the graph.

c) Plot the curve again over the same interval, along with the blue velocity vector at (1, 0, 0), but this time add the acceleration vector in red at (1, 0, 0) to the graph.

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Answer #1

(unnamed) File FormaterEvaluation View Share Help Insert Curve Plotting using Mathematica Wolfram: Curve for part (a) of the

  • Next step:
  • Created a curve called CheggCurve.nb in mathematicawolfram
  • Create A line object
  • r(t) =EXP(t*COS(t)*i+(SIN(t)/(t+4)*j+t*k))
  • when t = -2, r(t) = 1.458845
  • t=-1 => r(t) = 0.440083
  • t=0 => r(t) = 1
  • t=1 => r(t) = 2.031139
  • t=2 => r(t) = o.50624
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