A curve with polar equation 16 6 sin 0 + 13 cos 0 represents a line. This line has a Cartesian equation of the form y = mx + b,where m and b are constants. Give the formula for y in terms of x. For example, if the line had equation 2x + 3 then the answer would be 2· x + 3. Preview

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: 6. What is the equation of the polar curve shown? a) r = -4 sin 30 c) r = 4 cos 30 b) r = 4 sin 30…

A: Since you have asked multiple question so we will be answering only first question. Given polar…

Q: Sketch the curve with the given polar equation.

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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: Consider the curve C of equation (x² - y + y?)2 = x² + y? . Among the indicated options, select the…

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Q: The curve with polar equation 24 3 cos 0 +4 sin 0 = is a line. Find the slope and the y-intercept of…

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Q: 2. The curve with polar equation 24 3 cos 0 + 4 sin 0 = is a line. Find the slope and the…

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Q: What is the graph of the polar coordinate equation r = 2 cos 0 + 4 sin 0

A: According to the given information, it is required to draw the graph of the given polar coordinate…

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: Consider the polar equations r = 9+8 cos(0) and r = 9+8 sin(0), whose graphs are shown below. 15 10-…

A: The graphs of the polar equations r=9+8sinθ and r=9+8 cos θ is given. Identity the given equation…

Q: Consider the polar equations r= 3+2 cos(0) and r = 3+2 sin(0), whose graphs are shown below. 2- 1…

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Q: a) A curve has the parametric equation given as x = 4+3 cos 0 y = 3 sin 0 – 2. i) Convert the…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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Q: What is the length of the polar curve below? = 2 cos(0) for 0 sos 4

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Q: 39 A curve with polar equation r = 3 sin 0 + 25 cos 0 represents a line. This line has a Cartesian…

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Q: • Question 1. Given the point R (1,4) outside the circle L = x2 + y2 -2y = 1 x² + y2 - 2y - 1 = 0…

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Q: 7. Given the polar curve r2 = cos 20, Find the points where the tangent lines are horizontal and…

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Q: r = 4 cos 20 r = 3 +3 cos 0 Option 1 Option 2 r = 2 sin 20 r = 5 sin 50

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Q: Sketch the curve with the given polar equation by first sketching the graph of r as a function of 0…

A: This is a graph problem

Q: 3. Consider the curve C of equation 4ry r² + y²" Among the options indicated, select the one that…

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Q: Question 3 Sketch the polar curve with the given equation "= -5 cos 8, OA. 3 4 OB 3 OC. OD. OE. 1 4

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

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Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

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Q: 36 A curve with polar equation r = 29 sin 0 + 7 cos 0 represents a line. Write the equation of the…

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Q: 30 A curve with polar equation = 3 sin 8 + 7 cos e represents à line. This line has a Cartesian…

A: Given, a curve with polar equation…

Q: 12 A curve with polar equation r = 4 sin 0 + 33 cos 0 represents a line. This line has a Cartesian…

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Q: Which of the following polar equations represents a cardiod or heart- shaped curve? r = 4 cos 20…

A: Here given polar equations  r= 4 cos 2θ ......(1) r= 3+3 cos θ .......(2), r= 2 cos 2θ .......(3) r=…

Q: 50 A curve with polar equation r 5 sin 0 + 21 cos e represents a line. This line has a Cartesian…

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Q: Use to graph the polar equations given below for 0 < 0 < 2ñ. Which one does NOT have a graph with 4…

A: Not have a graph of four petals is

Q: Transform the given polar equation to rectangular coordinates and identity the curve represented r=…

A: An equation in polar coordinates is given, we have to convert the given equation in to the…

Q: Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs…

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Q: consider the polar equation defined by r = 5 cos(2 sin 8), where s0< 2n. Determine the missing…

A: as points are already find π6,2.70    π3,-0.80    π2,-2.08  3π4,0.77                      π,5…

Q: The graph shown below is described by which of the following polar equations? 40 7 4 -4 Or= 5+5 sin…

A: Given the graph is

Q: 1) The cartesian form of the polar equation (r² cos0 sin® = 4) is? b) (xy)² = 4 a) xy = 4 c) xy? = 4…

A: Since you have asked multiple question,As per our policy, we will solve the first question for you.…

Q: Consider the polar equation r- 3+8 sin(8), whose graph is shown below. 10 8 2 -6 -4 4 6 Notice that…

A: The given polar equation is  r=3+8sinθ. We have to find four angles θ where the tangents are…

Q: Find the slope of the polar curve at the indicated point. r = -9 + 3 sin θ, θ = 0

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Q: The area of one loop of the graph of the polar equation r= 2 sin 30 is Select one:

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Q: a) A curve has the parametric equations given as x = 4+2 cose y = -2+3sin 0. i) Convert the…

A: Given, x=4+2cos θ,  y=-2+3sin θ By solving these two equations for cos θ and sin θ, x=4+2cos θ⇒cos…

Q: 44 A curve with polar equation r = 7 sin 0 + 36 cos 0 represents a line. This line has a Cartesian…

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Q: Find the lengths of the curves given by the polar coordinate equations r = 2 sin θ + 2 cos θ, 0 ≤ θ…

A: Given: r=2sinθ+2cosθ; 0≤θ≤π2 for finding length of curve given by the given polar equation, first we…

Q: 7. Convert the polar equation to rectangular coordinates and determine the graph. r = sin 0-cos 0 8.…

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Q: Sketch a graph of the polar equation r = 4 cos 30 and find the tangents at the pole. 6. Sketch the…

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Q: What type of polar curve does the equation r = 8 sin^2 (@/2) represent?

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Q: 23 A curve with polar equation r = 4 sin 0+ 13 cos 0 represents a line. This line has a Cartesian…

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

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Q: Find the exact length of the polar curve r=cos^4(?/4)

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Q: A particle moves along the polar curve r =1– 2 cos 0 so that = 2. Find the value of d at e = , and…

A: We are given that,                     Now,              When          , Then

Q: A curve with polar equation 29 8 sin 0 + 65 cos 0 represents a line. This line has a Carteslan…

A: Given:- r =29/(8sinθ+65cosθ) To find:- Equation of line in Cartesian form

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

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Q: The polar equation that has the same graph as the rectangular equation a2 + y² – x – 4 y =0 is r=…

A: Given: Rectangular Equation = x2+y2-x-4y=0 Polar equation, r= cosθ - 4 sinθ