Chapter 9: Q 37. (page 747)

Find the smallest interval necessary to draw a complete graph of the functions in Exercises $33 - 38$ and then graph each function using a graphing calculator or computer algebra system.
$r = e^{\sin θ} - 2 \cos 4 θ + \sin^{5} (θ / 12)$

Short Answer

Expert verified

$[0, 24 π]$

Step by step solution

Given information

$r = e^{\sin θ} - 2 \cos 4 θ + \sin^{5} (θ / 12)$

Explanation

Consider the polar equation $r = e^{\sin θ} - 2 \cos 4 θ + \sin^{5} (\frac{θ}{12})$

The goal is to draw the graph of the polar equation supplied. We will draw the graph here using a graphing calculator.

If we observe the graph, the values of the graph are repeated after an interval of $24 π$ so the smallest interval required for the graph is $[0, 24 π]$ Therefore, the smallest interval for the graph is $[0, 24 π]$

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Find the smallest interval necessary to draw a complete graph of the functions in Exercises $33 - 38$ and then graph each function using a graphing calculator or computer algebra system.
$r = e^{\sin θ} - 2 \cos 4 θ + \sin^{5} (θ / 12)$

Short Answer

Step by step solution

Given information

Explanation

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Find the smallest interval necessary to draw a complete graph of the functions in Exercises 33-38and then graph each function using a graphing calculator or computer algebra system. r=esinθ−2cos4θ+sin5(θ/12)

Short Answer

Step by step solution

Given information

Explanation

One App. One Place for Learning.

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Theoretical and Mathematical Physics

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Find the smallest interval necessary to draw a complete graph of the functions in Exercises $33 - 38$ and then graph each function using a graphing calculator or computer algebra system.
$r = e^{\sin θ} - 2 \cos 4 θ + \sin^{5} (θ / 12)$