Plot the polar coordinate point (5, (5, 1) below: Clear All Draw: Dot 7 П Give equivalent coordinate points for (5, according to the following criteria: r> 0 and 2π ≤ 0 < 4π: > 0 and -2π ≤ 0 < 0: r0 and 0 0 < 2π: r<0 and -2 ≤ 0 < 0: ☐ ☐ ☐ ☐ on the graph

Q: Which point lies on the graph of the unit circle? (1,  √3) (3/4,  √7/4) (1/3,  √2/3) ( √2,  √2)

A: A point lies on the unit circle if the sum of squares of x-axis and y-axis is 1 Mathematically,

Q: The figure below shows the derivative F'. If F (0) = 15, give (x, y)-coordinates of all local maxima…

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Q: Letf(2)=z²5z +92. Use polar coordinates to find ƒ(−1+1). of (1 + i√3).

A: (b) .

Q: Which polar coordinates represent the same point as (4, –1/2)? (Select all that apply.) (4, –5x/2)…

A: Polar coordinate

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

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Q: -ind the curvature of r` (t) = ti + t²j + t³ k at different valu oft. Which formula would you use to…

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Q: Graph the points (3, 45 degree), (2, -4p/3), (-4, p/3), and (25, -210 degree )on a polar coordinate…

A: The given points are (3, 45 degree), (2, -4p/3), (-4, p/3), and (25, -210 degree ) Plot the above…

Q: Let c be a fixed constant. Explain the relationship betweenthe graphs of: r = f (θ + c) and r = f (θ…

A: Given that: “c” be a fixed constant r=fθ+c      and       r=fθ                      Polar

Q: Q1) Convert the point p = (2,) in the polar coordinate system to its Cartesian coordinate…

A: We know that conversion from polar coordinate (r, θ) to Cartesian coordinate (x, y) is as follows:…

Q: The student should answer the question below: Evaluate the given function using polar coordinates…

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Q: Which of the following is the equation of the circle with center at (-4,1) and * with radius equal…

A: In this question, We will find the equation of circle with centre (-4,1) and radius 6.

Q: Give two pairs of polar coordinates for the point (-2,-2\sqrt(3)) , where 0\deg <=\theta <=360\deg .

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Q: The intercepts on the horizontal axis are (pi/6 ,0) and (5pi/6, 0). graph the corresponding polar…

A: Given: The intercepts on the horizontal axis areπ6,0and5π6,0

Q: Use the implicit differentiation to find dy' for lemniscate (x2+y2)= x²-y° %3= Convert the equation…

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Q: Convert the rectangular coordinates to polar form(8, V8) O the. (V2, 7) O b. (4, ) Oc. (4,) 3T O d.…

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Q: 2. Convert (-V3,) to rectangular form.

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Q: Decide if the points given in polar coordinates are the same. If they are the same, enter T. If they…

A: a) x=8cosπ3=8*12=4y=8sinπ3=832=43x=-8cos-π3=-8*12=-4y=-8sin-π3=832=43Therefore8,π3≠8,-π3

Q: plot the point given in polar coordination (3,-3π/4). find three aditional polar representation of…

A: This is a problem of polar to cartesian conversion and the idea of parametrization.

Q: Convert from rectangular to polar coordinates: (a) (1, 0) (b) (3,√3) (c) (−2, 2) (d) (−1,√3)

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Q: For each set of Polar coordinates (r, 0), match the equivalent Cartesian coordinates (z, y). Don't…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: -Find the intercepts, the symmetry for the polar equation r = cos20 anc draw it.

A: A polar coordinate is represented as r, θ, where the length such that r=x2+y2 and θ is the angle…

Q: Plot the point whose polar coordinates are -3, In the graph below, use the 4. options to change the…

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Q: Match each graph with it's equation type: c (ma + b)sin(5æ) o ab" + sin(5a) sin(5æ) + ma +b *…

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