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Chapter 9: Q. 27 (page 747)

Graph the equation r = 2 + sin θ in the θr-plane. Label each arc of your curve with the quadrant in which the corre- sponding polar graph will occur.

Short Answer

Expert verified

The graph of the given polar equation is:

Step by step solution

Step 1. Given information

A polar equation is given as r=2+\sin \theta

Step 2. Concept used

For sketching the graph, first, find different values r for different

Step 3. Calculation

The polar equation is given as r=2+\sin \theta

Let

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Most popular questions from this chapter

In Exercises 48–55 convert the equations given in rectangular coordinates to equations in polar coordinates.

$y = x + 1$

Each of the integral in exercise 38-44 represents the area of a region in a plane use polar coordinates to sketch the region and evaluate the expression

The integral is $\frac{1}{2} \int_{0}^{2 π} {(1 + \sin θ)}^{2} d θ$

In exercise 26-30 Find a definite integral that represents the length of the specified polar curve and then find the exact value of integral

$T h e s p i r a l r = e^{α θ} f o r 0 \leq θ \leq 2 π$

In Exercises 32–47 convert the equations given in polar coordinates to rectangular coordinates.

$r = θ$

Use Cartesian coordinates to express the equations for the hyperbolas determined by the conditions specified in Exercises 38–43.

$foci (\pm 2, 0), directrices x = \pm 1$

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Graph the equation r = 2 + sin θ in the θr-plane. Label each arc of your curve with the quadrant in which the corre- sponding polar graph will occur.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Concept used

Step 3. Calculation

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Most popular questions from this chapter

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