Q2) Replace the following polar equations by equivalent cartesion equations and identify their graphs. 1)r =4rsin e

Q: r = 2 cos 0,

A: To find the exact length of the polar curve.

Q: 1. On the polar grid provided, plot the following polar points: (4 points) A) (3,) B) (2.) c) (4,-)…

A: follow the procedure given below.

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

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Q: 3. Draw the polar curve r = 1+3 cos 30

A: THE POLAR CURVE OF THE GIVEN FUNCTION r=1+3cos3x will be,

Q: The length of the polar curve curve r=5 cos4 OS e S 2n is equal to 80 3 20 3 40 O 20 160 3

A:

Q: Find a polar equation that has the ame graph as the equation in x and y: ²-y² = 4

A: Given query is to find the polar equation.

Q: 2 The rectangular cererdinates of a paint are given as (-4, -3) . Find the polar courding tes for…

A: We know that in 2 dimensions a point in its polar coordinates is given by   (rcos(θ),rsin(θ)). Thus…

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: Find two pairs of polar coordinates, one with r>0 and one with r<0,

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Q: Convert the following polar curves into Cartesian. r= 2/(4-costehta)

A: Converting polar curves into Cartesian: r2 = x2 + y2 x = rcos θ y = rsin θ

Q: Convert the Cartesian coordinates (5,1) to polar coordinates with r>0 and 0≤θ<2π. r= √26   Enter…

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Q: find the exact length of the polar curve r = θ2,    0 ≤ θ ≤ 2π

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Q: 10) (a) Make sure to show work. Given the Cartesian coordinates (–2, 2), find the polar coordi-…

A: Polar coordinates representation

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

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Q: , A) Replace the following polar equation by equivalent Cartesian equation: rcos 3

A: we have to replace the following polar equation by equivalent Cartesian equation

Q: B/convert the points below to the polar coordination (r,e) 1. (2,-2V3)

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: In each part, find polar coordinates satisfying the stated conditions for the point whose…

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Q: 13n Match the point in polar coordinates 4, to the points A, B, C, or D. 4 04 4, . OB 4, 4 oc(4.-) C…

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Q: Write a polar equation of the form r cos(0 – 0,) = ro for the line 3 x- y = 2.

A: Given: To find the polar equation of the form r cosθ-θ0 =r0 for the line 3x-y = 2.

Q: 11n Plot the points with polar coordinates 3, TT and using the pencil. 4 5n TE 6. 2 4 11n 6 6 5n 4.…

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Q: Find the Slope of the polar urve at the indicated pont r= 6 sin 4e

A: Given,             r=6sin4θ , θ=0

Q: Draw the polar curve r = 2 – 4 cos 50

A: The given equation is a polar curve equation in which r represent the distance of point from origin…

Q: Q1/ Replace the following polar equation with the equivalent cartesian equations 1. r= 4

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Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

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Q: Show that the polar equation r = asin(θ)+ bcos(θ), where ab≠0, represents a circle, and find its…

A: We have to proof

Q: Find the Cartesian coordinates of the following points (given in polar coc 7n a. V2,4 b. (4,0) с. 0,…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost other…

Q: Draw the following Polar Curves:- 1. r= a cose

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Given the polar curves: C₁:r = 2 cos 0 ग 2 A(2,0) C2 B(0,0) C₂:r = 2 cos 30 Find the Cartesian…

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Q: 2. Give the corresponding rectangular coordinates for-the given polar coordinates. 11T 7 (b) (4,3x)…

A: Given points in polar coordinates, we need to convert them into rectangular coordinates.

Q: Given a point P represented by the ordered pair (r, θ) in polar coordinates, the distance from P to…

A: Given: A point P represented by the ordered pair (r, θ) in polar coordinates, the distance from P to…

Q: The point specified by the polar coordinates (7.00, 35.0°) is following when converted to Cartesian…

A: Calculating the cos and sin theta  cos(35o) = 0.81915sin(35o) =0.5736

Q: The Cartesian equation of the polar curver= 2sin0 + 2cos0 is Select one: O r + y? = 2 O x+y=2 O y? –…

A: Note that : 1) x^2+y^2=r^2 2) x=r(cos(theta)) 3)y=r(sin(theta))

Q: Complete the table of coordinates below. Where necessary,round to two decimal places. Then plot the…

A: we use the trigonometric values for cosθ to find out the coordinate r for each θ .

Q: For the length of the polar curve: r 2cos0,0 < 0 < 3n/2

A: Consider the provided polar curve, r=2cosθ, 0≤θ≤3π2 Find the length of the provided polar curve. The…

Q: Exqmple: tind to the followding polar equations- Or cos o =2 pt cośce-rt site=l ☺ r=l+2r Cose

A: We find the Cartesian equation to the given polar equations by substituting the followings:…

Q: Transform the given polar equation to retngulr coordinates and identitythe cuve represented 5+4x y =…

A: The answer is found in step-2

Q: Which of the following polar equations describes a circle centered at (G, 5) with radius 2 O r =…

A: Given, center=(12,12) radius=12

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations 1). r = 2+sin 0 2]. 3]. 4].

A: Given that  r=2+sintheta  To covert the polar equation into Cartesian equation

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

A:

Q: 36 r= e®,-π <θ <T

A: Consider a function f such that its derivative is continuous in the interval α≤θ≤β. Then the length…

Q: b, The polar equation for the curve whose rectangular(cartesian)equation xy32 is: (a)rcosesine = 4 4…

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Q: Find the length of the polar curve: r=7 cos 0 , 0L05 3 TT 4

A: The length of the polar curve over the interval [a, b] is : The given curve is: So, the limit…

Q: 8 a. Given the polar equation r² sin20 = 8, find an equivalent Cartesian equation.

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Q: Convert the rectangular equation to polar form and sketch its graph. y = 6 a/2 7/2 12 15 10 8F 10 4…

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Q: 5. Convert the polar equationr= cot 0 csc 60 to rectangular form.

A: "Since you have asked multiple questions, we will solve the first question for you.  If you want any…

Q: 7. Convert the rectangular equation 3x – 4y = 5 into a polar equation.

A: The equation in rectangular coordinates is given by 3x-4y = 5 To evaluate : The equation in polar…

Q: Given the polar equation r2 sin20 = 8, find an equivalent Cartesian equation.

A: Given the polar equation r2 sin 2θ = 8

Q: Find the Cartesian coordinates of the following points (given in polar coordinates). 2n h. 6/3,-

A: The general form of polar coordinate is (r, θ). So in this Question given polar coordinate is (63,…

Q: onvert the given Cartesian equation to a polar equation. (Use the following as necessary: r and 0.)…

A: Explanation and solutions is given below.....