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consider the parametric curve c (t)= (cos (t), tsin (t)), 0 < t < 2pi (a spiral)

ID: 3008463 • Letter: C

Question

consider the parametric curve c (t)= (cos (t), tsin (t)), 0 < t < 2pi (a spiral).
a) plot a curve using maple
b) calculate by hand the arc length of the spiral
c) use Simpsons rule to approximate the integral. find the error bound using the appropriate error formula, and compare it to the actual error.
d) use maple to approximate the given integral by using the composite trapezoidal rule with 10 subintervals. compare the approximation with the actual value of the integral.
e) determine the number of subintervals not required to approximate the integral to within six decimal places by using the composite trapezoidal rule.

Explanation / Answer

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