the center of the circle given by the equation r = 6sinθ – 8cosθ in polar coordinates is M(a, b) and its radius is r, a.b+r =?

Q: A circle is specified in parametric form by I=4+7 cos0 y = -5+7sin 0. What are the coordinates of…

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Q: Find a polar equation for the circle x2 + ( y - 3)2 = 9

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Q: The rectangle coordinates for the polar point (4,3.14/2)is

A: Given polar point is (4,π2) this is (r,θ)We know that x=rcosθ and y=rsinθSo, x=4*cos(π2)…

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: 7. (-1,–x/6) 8. x2 - y? = 4

A: Given :7. ( -1, -π/6 )8. x2-y2=4

Q: Give two other polar coordinates for the point (2,pi/4). Make sure one has a positive radius and the…

A: Given, r, θ=2, π4 To find other two polar coordinates. Here,r=2 and θ=π4

Q: The curve whose equation in polar coordinates is given by r -4 sin(@) is a circle with its center…

A: I am going to solve the given problem first by converting in to the cartesian form and then…

Q: 2 -   If the center of the circle given by the equation r = 6sinθ – 8cosθ in polar coordinates is…

A: As we know that the polar coordinate is: x=rcosθ,y=rsinθr=x2+y2 Given: r=6sinθ-8cosθ So, we can…

Q: What is the radius of the circle for the polar equation r = 15 cos 0? Enter a numerical value only,…

A: Converting from polar coordinates to Cartesian coordinates.

Q: For each point (x,y), give two sets of polar coordinates, where 0<=theta<=2pi problem : (3√3,-3)

A: Polar coordinates.

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: In polar coordinates, r is the ________ ________ on the terminal side of an angle uwhose vertex is…

A: The given statements is "In polar coordinates, r is the ________ ________ on the terminal side of an…

Q: Sketch the following polar rectangle. 2x = {(r,0): 4sr5,

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Q: In converting r = 5 from a polar equation to a rectangular equation, describe what should be done to…

A: Given: r=5

Q: Find the lengths of the curves given by the polar coordinate equations r = -1 + cos θ

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Q: In changing variables to polar coordinates, the dA in f(x, y) dA becomes „2 dr de. True False

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Q: Find an approximate polar equation for the ellipticalorbit of the earth around the sun (at one…

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 4 cose 4 cose 43 r = cose Or2…

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Q: 2. Use polar coordinates to evaluate √9-1² 2 L √4+x² + y² dy dx.

A: This is a problem related to integral of polar curves. Based on the substitution in cartesian…

Q: One of the following represents the point with Cartesian coordinates (V3, -1)in terms of polar…

A: NOTE: Refresh your page if you can't see any equations. . the radius is given by

Q: The polar equation of the circle with Cartesian equation x² + y2 = 100 is:« A r= 100- В r= 10 sin 0…

A: To find  The polar equation of the circle with the given equation.

Q: convert the rectangular point (-1, -sqroot3) to polar, where r is greater than or equal to 0 and 0…

A: We know that polar form of a rectangular point x,y is r,θ=x2+y2,tan-1yx. We have, Rectangular point…

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 a polar equation for the line containing the origin that makes an angle of 30° with the…

A: Find a polar equation.

Q: If an equation fails the test for symmetry with respect to the polar axis, what can you conclude?

A: The equation has failed the symmetry test, but that does not mean that it is not symmetric with…

Q: he polar equation for circle x^2+(y- 3)^2 =9

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Q: is The rectangular coordinates for the polar points 4, 2

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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: Mark the alternative that corresponds to the radius R and the center C (in polar coordinates (r,θ))…

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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: Convert the polar equation r= 4 cos e to a Cartesian (rectangular) coordinate equation and simplify…

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Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

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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: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 14 r = 6 sin e -…

A: the objective is to convert the given rectangular equation to its equivalent for polar equation

Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 14 r = 6 sin e -…

A: The rectangular equation is given by 6x-y = 14 To evaluate : The equivalent polar equation.

Q: ************ **** Plot the point that has the given polar coordinates. (2, ) R/2 R/2 T/?

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Q: Convert the rectangular equation to polar form and sketch its graph. y = 9 A/2 7/2 14 2.아 12 10 1.5…

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Q: 4. Find the equation of the circle (in polar) with center on the line a = and passing through the…

A: The general equation of a circle with centre at r∘, θ∘ and radius, a is given by r cos θ-r∘ cos…

Q: Find two polar coordinates for the rectangular coordinate point. one with r > 0 and one with r < 0…

A: (x, y) = (-12, 43)r = x2 + y2r = (-12)2+(43)2r = 144+48r = 192r = 13.8564r ~ 13.86

Q: Of a circle of radius "a" whose center is point (1,-1).Write the equation in Polar Coordinates.…

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Q: What would a graph look like if the polar equation is "r = 4"? It would look like a semi-circle…

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Q: What is the polar equivalent of the equation of a circle with center on the y- axis, radius equal to…

A: The equation of a circle with centre on y-axis and passing through origin is x-02+y-a2=a2. Expand it…

Q: In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the…

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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: 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: Change the following rectangular equations to polar form. Show work on separate paper. 14. x² +y°…

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