Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r= cos(0) cos(0) 15

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: Given  equation r=2+3sinθwe have…

Q: Find the Cartesian equation of the polar equation p² = 2[1+ r(cos 0 – sin 0)] and identify its…

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Q: Use the identity cos 20 = cos² 0 – sin² 0 to find a polar equation of the hyperbola x² – y² = 1.

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Q: What type of polar curve does the equation r^2 = 4 cos 2@ represent ?

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Q: 11) Find the rectangular form of the polar equation: r = sin 0 + cos 0

A: Given: r = sin θ + cos θ To find: The rectangular form of the given polar equation.

Q: Which of the following shows the correct sketch of the polar curve r= -10+ 10 sin(0)?

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Q: r = cos(0/7) %D

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Q: Find an equation in rectangular coordinates for the curve r^2 = cos 2θ.

A: We know that, the relationship between polar and rectangular co-ordinates are given as r2=x2+y2…

Q: 45. The rectangular equation x² + y² - 2x=0 written in polar form is r = 2 cos.

A: The rectangular equation is x2+y2-2x=0

Q: Question in Image.

A: To convert to polar form replace:  x with r cos θ y with r sin θ   We have y = 7x + 12   r sin θ =…

Q: Sketch a graph of the polar equation  r2 = 9 cos 2θ

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Q: Use the identity cos 2θ = cos2 θ − sin2 θ to find a polar equation of the hyperbola x2 − y2 = 1.

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Q: 1 For the given polar equation: r = 6(sin 0-cos 0) a. Write the equation in rectangular coordinates.

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Q: dy at the point 1.- dx For the polar equation r=1–cos 0 , find the value of 2 O 1 O -1 O 2

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Q: Convert the Polar equation to a Cartesian equation and solve for y. r2 sin(0) cos(0) +r cos(0) = 2

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Q: Find a polar equation in the form r cos (0 - 0) = ro for the line x = - 12.

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Q: convert to an equation in polar coordinates of the form r = f (θ ).  ln x = 1

A: Polar coordinates are the coordinates in 2-Dimensional plane where x coordinate gives us the…

Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Sketch the graph of the polar equation. r = 8 + 5 sin 0

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Q: Q3 Write down the polar form of the equation 2 arctan(y/a)

A: convert the given equation into polar form x2+y2=e-2arctanyx

Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: Q5\a- Replace the following polar equation by equivalent Cartesian equation and identify their…

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Q: Find a polar equation that has the same graph as the equation in x and y.xy = 8

A: we have to find a polar equation that has the same graph as the equation in x and y. xy=8

Q: 3 Convert the equation y = -x to polar form. 3 Then solve the resulting equation for 0. e = 0

A: Explanation of the solution is given below....

Q: 1. The polar equation of the graph whose equation is x² + y2 = 25 is (A) r- 5cos 0 = 0 (B) r+5cos 0…

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Q: 37. The Cartesian equation of the polar curve 2 = 2a' sin 20 is A. 1? + y? = 4a²xy B. (z* + 3° )° =…

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Q: 01: If x²+y-2x=0. Find the corresponding equation in polar. Sketch.

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Q: nd the Cartesian form of the polar equation sin(20). r3

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Q: Choose the graph of the polar equation “ r=1+cos 0" .

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Q: 1. Describe the graphs of the equation (a) r = cos 20 in cylindrical coordinates. (b) p= sec otan 0…

A: First change cylindrical and spherical coordinates system to Cartesian coordinates system

Q: 8. Convert the polar equation r =8 cos 0 into a rectangular equation.

A: we know     The formula  of polar to rectangular    r2 = x2  + y2  , where x = r cos( theta) and…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x^2 + y^2 = 6x −…

A: Given equation is : x2 +y2 = 6x -4y Concept : To convert an equation in polar form, we substitue x =…

Q: Find dy/dx and the slopes of the tangent lines shown on the graph of the polar equation. (If an…

A: The polar equation is r=2+3sinθ. Recall that fact that x=rcosθ,y=rsinθ. That is,…

Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

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Q: 9. (a) Find the rectangular coordinates of the point(s) of the graph of the polar equation r = 4 sin…

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Q: Find a polar equation for the curve represented by the given Cartesian equation. xy=8

A: We havexy=8

Q: 2 Q3: Discuss the symmetry and plot the locus of polar equation r 1-cose

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Q: 6. Consider the polar equation r = 2 – 2 cos(0) a) Complete the table of values for r = 2 -2 cos(0).…

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Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: Which of the following Polar equation represents the following Curve -2 1 2 (a)r = 1 – sin® (b) r =…

A: A detailed solution is given below.

Q: Convert the given Cartesian equation into a polar equation. y = 6x + 3 Select the correct answer…

A: x=rcosθ, y=rsinθ. Use these values to find out result.

Q: Convert the given polar equation into an equation in terms of Cartesian coordinates.

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Q: 2 Given polar equation is r =- 2+3 cos 0

A: NOTE: Refresh your page if you can't see any equations. . the relation between polar and rectangular…

Q: Sketch the graph of the polar equation.r = e2θ, θ ≥ 0 (logarithmic spiral)

A: Consider the given polar curve to be r=e2θ, θ≥0.

Q: cos (0.48-j0.38) express in polar form

A: we have to express cos 0.48-j0.38 in polar form: we know that cosx-jy=cosxcoshy+jsinxsinhy Now, here…

Q: 10 Write an equivalent rectangular equation for the polar equation r = 3 sin 0-7 cos 0

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Q: Find the polar equation for the curve represented by the equation y = 1+ 3x. A 1 ,0) sin 0-3 cos 0 В…

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Q: Sketch a graph of the polar equation r2 = 4 cos 2

A: Given:       r2=4 cos2θ First, notice that             r2=4 cos2θ⇒4 cos2θ=2cos2θ Applying following…

Q: Write a polar equation of the formr cos(0 – 0) = ro for the line x - V3y = 2.

A: We have to solve given problem:

Q: (b) Find the graph of the parametric equations: I = sin 0, y = 3 – 2 cos 20

A: Plugging values of θ, to find the corresponding values of x and y: When…