Q2\ Replace the following polar equation by equivalent Cartesian equation and identify their graphs 4 r = 2 cos 0-sin 0

Q: tegral by transforming to polar coordinates.

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Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: Convert the point (-7 3, 7 V3) from Cartesian coordinates to polar coordinates for 0 <0 < 2m. Give…

A: The given point -73, 73

Q: Consider the conic section given by the polar equation 4 1-sin 0 r=

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Q: Find an equation in x and y that has the same graph as the polar equation r- sin 0 = 0 and graph on…

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Q: 4) Convert (4, 4) and y = x into polar coordinates, and convert (-2, 4) and r = sec 0 into Cartesian…

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Q: Sketch the graph of polar equation.Be sure to test for symmetry. r = 3 sin θ

A: Solution:Given          r= 3 sin θTo sketch the graph of polar equation test for symmetry

Q: Determine the 3 rectangular equations of the tangent lines at the indicated points (black dots)on…

A: the given polar equation is ; r=2cos(3θ)

Q: Given polar equation is r = 2- cos 0

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Q: The simplest method of graphing a polar equation is to plot points by substitutingconvenient values…

A: The simplest method of graphing a polar equation is to plot points by substitutingconvenient values…

Q: What are the polar equations of the lines parallel to the line r cos (0 - ) = 1?

A: As a first step we will convert the polar equation into the Cartesian equation.

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

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Q: 3. Find the polar coordinates of all points on the cardioidsr=1- sine, at which there is a…

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Q: 2. Convert the polar coordinate (4, 4,=) to Cartesian coordinate

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Q: Convert the point (3,3 7) from polar coordinates to Cartesian coordinates. Give exact values. y =…

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Q: Sketch the graph of the polar equation using symmetry, zeros, maximum r-values, and any other…

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Q: 6 cos + isin 6. 3. 3.

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Q: Given polar equation is r = 2- sin 0

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Q: Determine the points at which the limacon defined by the polar equation r = 3+ 2 sin 0 has…

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Q: Find in polar Coordinatest X= - 3

A: Change rectangular coordinates in to polar coordinates

Q: Express in polar coordinates the point having rectangular coordinates (3,3)

A: First i have written the rule , just use them and easily find the required polar coordinates. Polar…

Q: Sketch a graph of the polar equation r = 3 sin 2 and find the tangent line(s) at the pole (if any).

A: We have to sketch a graph of the polar equation r=3sin2θand then we have to find the tangent line(s)…

Q: Find an equation in x and y that has the same graph as the polar equation r-sin 0 =0 and graph on…

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Q: 4 Convert the equation from polar to cartesian. r = 3 – 2 sin 0

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Q: Find the slope of the tangent line to the graphof the polar equation 1 TU r = at Ø 1-sino 6

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Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: 7. Find all points of intersection of the r= 3sine polar curves: such that r= 1+sine

A: We equate the two equation to find solutions.

Q: Determine two pairs of polar coordinates for the point with 0°\< theta < 360: (3,-

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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: Determine two pairs of polar coordinates for the point with 0°\

A: The objective is to determine two pairs of polar coordinates for the point with 0°.

Q: Describe the graph of the polar equation. 5r cos 0 + r sin 0 = 7 Line with slope 7 and y-intercept…

A: Explanation of the answer is as follows

Q: Convert polar equation r=cos3 θ to cartesian equation

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Q: Find the exact length of the polar curve. 3 sin(0), 0 < 0< 1/2

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Q: The area of one loop of the graph of the polar equation r= 2 sin 30 is Select one:

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Q: 2) Sketch the graph of the curve with the polar equation: r=2- sin(20).

A: The given polar equation is r=2-sin2θ. Draw the graph of the given polar equation in detail.

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

A: r = 3            a vector of length '3'. θ = -3π4  '-ve' : Rotate clockwise by 3π4…

Q: Sketch a graph of the polar equation and nd the tangents at the pole. r = 3 (1 − cosθ)

A: By using polar curve

Q: Express z = V3 + V3i in polar form.

A: If z=x+iy is a complex number where x and y are real numbers then its polar form is written as the…

Q: Find z1z2 in polar form. = 4 (cos(140°)+i sin(140°)); z2 = (cos cos(40°)+i sin(40°) Z1

A: We use the fact that  Cost+ i Sint = eit

Q: 7) Convert the coordinate (213,2) to point in' polar Coordinates. polar coordinetes.

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Q: Convert the Cartesian equation y = x2 + 2x into a polar equation (you should be able to simplify…

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Q: 2. Convert Polar Equation to Rectangular Equation. 1 r = sin 0 – cos 0

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Q: 3Q. If z₁ = (cos50 – i sin 50), z₂ = (cos70 + i sin €) and z3 = (cos40 – i sin 40) then find 4 polar…

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Q: roblem 1: onvert from rectangular to polar form: a) 2 + 2v3i b) 3- 4i =) V3 - i

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Please give three different polar coördinate pairs that represent the same point as (4, 37 /7)…

A: The given polar pair is 4,3π7

Q: 5 Convert the equation from polar to cartesian. r = sin 0 – 2 cos 0 -

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Q: Convert to a polar coordinates. 11. (-4,4) lar form. Show work on separate paper.

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