Respuesta :

Answer:

|r|= 6

Explanation:

Looking at cosine function , it has a maximum value of 1 at θ= 2π

r= 3+3cosθ

r= 3+3cos(2π)

r= 3+3(1)

r=3+3

r=6

The maximum r-value of the polar equation will be 6. R-value is a measurement of how strongly it resists heat passage by conduction.

What is the r-value?

The R-value of a two-dimensional barrier, such as a layer of insulation, a window, or a whole wall or ceiling, is a measurement of how strongly it opposes the conductive flow of heat.

The given equation in the problem is;

[tex]\rm r = 3+3 cos \theta \\\\[/tex]

The maximum value of the cos is 1. Which is found at  2[tex]\pi[/tex].

[tex]\rm| r |= 3+3 cos \theta \\\\| r|= 3+3 cos (2\pi) \\\\ \rm | r| = 3+3 \times 1 \\\\ |r|=6[/tex]

Hence the maximum r-value of the polar equation will be 6.

To learn more about the r-value refer to the link;

https://brainly.com/question/17512333