8- For the curve whose Cartesian equation is: (x2 + y?)3/2 = 2x? a. Find and simplify the equation in polar coordinates. b. Sketch the curve.

Q: For each of the described curves, decide if the curve would be more easily given by a polar equation…

A: (a) Given: A line through the origin that makes an angle of,   with the positive x-axis.

Q: In the given equation as follows , sketch the curve represented by theparametric equations (indicate…

A: Given the parametric equations x = 1+1t, y = t -1 x = 1+1t ,      y +1 = t x = 1+1y+1xy+1 = y+2xy…

Q: 7. (-1,–x/6) 8. x2 - y? = 4

A: Given :7. ( -1, -π/6 )8. x2-y2=4

Q: In  the given equation as follows , sketch the curve represented by theparametric equations…

A: Curve represented by the given parametric equations & the corresponding rectangular equation by…

Q: Find a polar equation for the curve represented by the given Cartesian equation. y = 4

A: Given ,Y = 4

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

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Q: x = 3 – 4t, y = 2 – 3t

A: Solution is given below

Q: Find a polar equation for the curve represented by the Cartesian equation: x^2 - y^2 = 4

A: The Cartesian equation for the variables x and y are,

Q: Sketch the curve represented by the parametric equations    x = et − 1,                    y = e3t…

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Q: Q2: Discuss the symmetry and plot the locus of polar equation r-3+2sine.

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Q: Find a polar equation for the curve represented by the given Cartesian equatic y = 4

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

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Q: = 4 sec 0. Find the Cartesian equation for the polar curve r =

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Q: • Sketch the curve represented by the parametric equations (indicate the Orientation of the curve),…

A: Given,

Q: Find a polar equation of the form r = f(0) for the curve represented by the Cartesian equation x + y…

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Q: Identify the curve by finding a Cartesian equation for the curve. r2 cos 20 = 1

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Q: Find a polar equation for the curve represented by the given Cartesian equation. x2+y2=100

A: Here given cartesian equation  x2+y2=102 it is an equation of the circle with radius 10.

Q: Find a polar equation for the curve represented by xy = 4.

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

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Q: Sketch the curve r = 8+8cos € in polar coordinates.

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Q: x = 1 – t², y = t – 2, –2 <t< 2

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Q: The polar equation for the curve whose rectangular(cartesian)equation xy = 2 is: (a)rcosesine = 4…

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Q: (c) How do you find the length of a polar curve?

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Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 ≤ 0 <…

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Q: 13n Match the point in polar coordinates 2, to the points A, B, C, or D. 4

A: Here simple we satisfy angle property

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y2 = 16

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Q: Find the exact length of the polar curve r = 8e(-θ)

A: Given curve is r=8e-θ If θ goes from θ1 to θ2 Then the arc length is given by, L=∫θ1θ2r2+drdθ2dθ…

Q: ANSWOT. 14. x 1+ y=t-1

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Q: Q1// Converting r= 12 cos 0 from polar to the equation of a circle?

A: Solution is given below:

Q: Q1// Converting r= 12 cos 0 r = 12 cos 0 from polar to the equation of a circle?

A: Given problem:- Converting r = 12cos(θ) from polar to the equation of a circle?

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

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Q: Given the parametric equation: x=cos(3t), y=sin(3t), 0 less than or equal to t less than or equal to…

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Q: Plot the following curves in polar coordinates. 50 (52) 1. r = 2 + cos

A: We have to graph the given polar curve.   According to our guidelines we can solve only one question…

Q: Find a polar equation for the curve represented by the given Cartesian equation. x2 + y2 = 10cx

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Q: Find a Cartesian equation for the curve. r = 9 tan(?) sec(?)

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Q: Find a Cartesian equation for the curve which is defined by the polar equation: r= 6csc(0) where 0<0…

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Q: find a polar equation for the curve represented by the given cartesian equation y=2

A: Solution Given The given cartesian equation is  y=2. We need to find the polar equation.

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

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Q: For the curve whose Cartesian equation is: (x2 + y?)3/2 = 2x? a. Find and simplify the equation in…

A: Given cartesian equation is: x2+y23/2=2x2 To express the equation in polar coordinates and to sketch…

Q: Which of the following is a Cartesian equation for the curve given in polar coordinates byr 3? %I a.…

A: x = r cos(θ) y = r sin(θ)

Q: What curve is represented by the given parametric equations, show it on the graph including t, x =…

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Q: Identify the curve by finding a Cartesian equation for the curve.17. r = 5 cos θ

A: We need to find the curve by finding a Cartesian equation. Here,  r = 5 cos θ. Let us take x=r cosθ…

Q: 3T Plot the points with polar coordinates 3, and (2, 2n) using the pencil. 4

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Q: Plot the following curves in polar coordinates. 1. r = 2 + cos (5) (50)

A: As per bartleby guidelines we only give first question answers.  Plot the curve by using…

Q: Find a polar equation for the curve represented by the given Cartesian equation. (Assume 0 s0 < 2n.)…

A: To convert the given equation in polar form we use x=rcos(θ)y=rsin(θ) Replace x  and y in our given…

Q: 1- Which of the following is the closest distance from the points on the curve given by the equation…

A: The equation of circle is given by, r = 6 The point in the Cartesian coordinate is (-8, -15) which…

Q: Find the length of the spiraling polar curve 2e 60 From 0 to 27 . The length is

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Q: Find the arc length of the polar curve described by r=9+9cos 8

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Q: 2. Given the parametric equation: x= 4 cos (t), y=9 sin (t), 0 <t< 2n, a) sketch the curve and…

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Q: Show that the polar equation for the curve with Cartesian equation x² – y² = 1 is r? = sec 20.4

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