Which graph represents points on the polar curve r = 2 + 5sin(θ)?

Answer:

Graph 2

Step-by-step explanation:

See image attached. Hope this helps.

The second graph shown the polar curve at r = 7.

Given ,

Equation of polar curve = r = 2 + 5sin(θ)

We have to find ,

Which of following graph show polar curve ,

At  r = 2 + 5sin(θ)

The area between two curves in the polar coordinate system, first find the points of intersection, then subtract the corresponding areas.

First graph ;  r = 2 + 5sin(θ)

Where ,

[tex]\theta = 0[/tex]

r = 2 + 5sin0

r = 2 + 5 (0)

r = 2

Second graph : r = 2 + 5sin(θ)

Where

[tex]\theta = \frac{\pi }{2}[/tex]

Then,

r = 2 + sin[tex]\frac{\pi }{2}[/tex]

r = 2 +5 ( 1 )

r = 2+5

r = 7

Third graph ;  r = 2 + 5sin(θ)

where

[tex]\theta = \pi[/tex]

Then,

r = 2 + 5sin[tex]\pi[/tex]

r = 2 + 5(0)

r = 2

Fourth graph ; r = 2 + 5sin(θ)

Where

r = 2 + 5sin[tex]\frac{3\pi }{2}[/tex]

r = 2 + 5 (-1)

r = -3

Fifth graph ; r = 2 + 5sin(θ)

Where

[tex]\theta = 2\pi[/tex]

r = 2 + 5sin(2π)

r = 2+ 5 (0)

r = 2

Comparing all the value of the graph ,the second graph shown the polar curve at r = 7.

Hence, The second graph shown the polar curve at r = 7.

For more information about Polar curves click the link given below.

https://brainly.com/question/1094340

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