2. a) If -1 o £ 2, give three polar points in the torm of Cr,@) eanivalent to Cartesian point C-6,-2) . b) Change the polar cquation r:2 cos e +6 sin e to Carterian equation (x-1)*+ly-3)* = 10 .

Q: What is the rectangular equivalence to the parametric equations? x (0) = 3 cos 0 + 2, y (0) = 2 sin…

A: .

Q: Set up but do not evaluate and integral which will yield the length of a single tracing of the polar…

A: To find the length of the entire curve, limits of integral will start from…

Q: Let C, D and E be the polar curies below: Cir=f(0) = 3-3 cos 0 E¹r = g(0) = 1/250c4 SOC 3 D:r=3 (1.)…

A: As per the question we are given two curves in polar coordinates as : C : r = f(θ) = 3 - 3cos(θ) E :…

Q: 2. 6 27 4 6 2 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter…

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Q: All the polar coordinates of the point (4,) are: (o) (+종+ 2am) amd (-+종+ 2am) (6)(4 + 2) and (-4 +…

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Q: 5 equally spaced holes on an 80mm pitch circle diameter. Calculate their co-ordinates relative to…

A: we know that, the total sum of angles in circle= 360 so now using this we will solve the question.

Q: Graph the line and conic section. r = 8/(1 - sin u)

A: We can convert this into rectangular form. Then,…

Q: (Picture of question is attached)

A: Calculate the values using the given polar equation and complete the table.

Q: Draw the polar curve r = cos(30) with its orientation. Set up all integral to evaluate the length of…

A: First, find the node to the polar curve by equating r = 0, so cos(3θ)=rcos(3θ)=0(3θ)=-π2,π2θ=-π6,π6…

Q: 4Evaluate in polar fom; 1)' 3(-344i + (3+4i)(-2 3-4i

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Q: 30. Show that the circle with its center at (÷,¿ ) in Figure 20 has polar equation r = sin 0 + cos 0…

A: In the question we have to find the polar equation of the circle and values of A ,B, C, D

Q: Given: polar curves C₁ : r = √2- cos 0 and C₂ : r = √2+ sin intersecting at A(³√2, 37) and B(2,7) 2…

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Q: Determine the shape of each polar curve. 9r = 7 parabola 7 circle 9 r = 4 + 6 sin(0) ellipse…

A: Given :            r=7r=74+6sinθr=74+4sinθr=76+4sinθ

Q: 13) Find as all polar points (r, 0) of horizontal and vertical tangency to the curve: x = cos(20) y…

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Q: Graph the equations in Exercises 17–24 in the θr-plane. Label each arc of your curve with the…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: 3 plot the polar graph r=2(1-sino) %3D

A: Given : Graph = 2 (1-sinθ)

Q: Let C, D and E be the polar curies below: Cir=f(0) = 3-3 Cos 0 Er = g(0) = 12/250c4 D:r=3 (1.) Show…

A: Let's solve part 3 and 4.

Q: 4. Write down the name of the conic given by the polar curve r = 15/( 2 sine). Determine the…

A: Given the polar curve is r=153+2sinθ

Q: Calculate the distance around the graph of the polar curve r = 3sin 0. O 67 o 37 O 16

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Q: Find the areas of the regions in the polar coordinate plane described Enclosed by the limaçon r = 2…

A: The limacon is symmetric around the x-axis thus doubling the area of the part over the x axis gives…

Q: 28. Show that the circle with its center at (}. ) in Figure 20 has polar equation r = sin 0 + cos 0…

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Q: all parts need in separate separately.

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Q: Find the areas of the regions in the polar coordinate plane described Enclosed by one leaf of the…

A: Area of the region bounded by r=fθ between the radial line α to β is A=12∫αβr2dθ

Q: Graph the lemniscates in Exercises 13–14. What symmetries do these curves have? 13. r2 = 4 cos 2u…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 4 4. a) Identify the conic section given by the polar equation and also determine 1-cos e its…

A: We convert the equation into rectangular form first This is a parabola.

Q: O Sketch the polar curves r=4-4sin@ and r=8sin(-Ø) on one graph. Hence, determine the points of…

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Q: Prove that the distance, d, between two points with polar coordinates (r, 01) and (r2, 02) is d =…

A: Distance (d) between two points x1, y1 and x2, y2 is  d=x1-x22+y1-y22   ....1

Q: (a) Find all intersections of the polar curves r = 1 + cos 0 and r = Cos e (b) Determine the…

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Q: 4) The Cartesian coordinates for a point are (-1,-V3). Find polar co- ordinates (r, 6) for the point…

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Q: Consider the rose curve with polar equation r = cos(20), whose graph is shown below. 0.5 -0.8-0.4서…

A: An integral assigns numbers to functions in a way that describes displacement, area, volume, and…

Q: 5. Given the point P(-3,). Find 2 other polar coordinate representations of P with r>0 and two with…

A: give that polar co-ordinate so simple use x=r. Cos(theta) and y=r. Sin(theta) To convert in a…

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: 6 Find three additional polar representations of the point, using -2n < 0 < 2n. (Enter your answers…

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Q: Consider the polar curves C₁ r = 2 cos 0 and C₂: r = 2 cos 30, and let R be the shaded region as…

A: Same point can be expressed in polar coordinates in various ways.

Q: 3. Write down the name of the conic given by the polar curve r = 6/(2-sine). Determine the vertices…

A: Given problem:- 3Write down the name of the conic given by the polar curve r = 6/(2-sin(θ))…

Q: 8. the same graph as the polar equation r-6cos0 =0 and graph on the xy plane. Find an equation in x…

A: The given polar equation is r-6cosθ=0 The equation in x and y is to be calculated and graphed in the…

Q: Q/ sketch r:2 sinlo -)cos(0-) in polar system. ExPlav e is the graphic symme trical and wribing a…

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Q: Calculate the length of the polar curve r=1- sin Oon the given interval (0, 2m].-

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Q: 3. Write down the name of the conic given by the polar curve r = 6/ (2 - sine). Determine the…

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Q: Which of the following is one of the points of intersection of the polar curves r = 3 cos @ and r =…

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Q: Consider the polar curves Cı : r = 3 sin 20 and C2 : r = 3 cos 0, and let R be the shaded region as…

A: It is known that sin2x=2sinxcosx. Using the zero factor property, it can be written that: if ab=0,…

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

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Q: What consequence does the lack of uniqueness of polar coordi-nates have for graphing? Give an…

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Q: 1. Sketch the graph of r=1-cos in polar coordinates. [3 marks]

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Q: 11 write the rectanqular coordinate equation x2+y²= coordmates and sleetch the graph, in polarr

A: Given the equation x2 + y2 = x in the rectangular coordinates and we have to convert into polar…

Q: 5. Given the point P(-3,). Find 2 other polar coordinate representations of P with r >0 and two with…

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Q: 8. 8. Choose the polar curve r=1+ cose. r 1+cos0 (5점)

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Q: If the complex number z = x + iy satisfies the condition |z + 1| = 1, then z lies on Select one: х…

A: Given that: z=x+iyCurve: |z+1|=1

Q: (32) is not a representation of the point (4,) in polar coordinates. -(33) is the polar equation…

A: *Two different co ordinate will represent same point if they  coincides  * general equation of…