The location of the polar coordinates (1, 3π/4) is in the

Q: Q17:- In polar coordinates prove that** 第。

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Q: Sketch the graph of the polar equation. r = 7 + 4 sin 0

A: Given, The equation, .

Q: Find the distance between the two points (4, 2.5), (12, 1) in polar coordinates.

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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: Sketch a graph of the polar equation  r = −3 cos 2θ

A: We will make a table for the function.

Q: Find the Cartesian coordinates for the polar coordinates: (-V3, /6).

A: To convert from Polar Coordinates (r,θ) to Cartesian Coordinates (x,y) : x = r × cos( θ ) y = r ×…

Q: Sketch a graph of the polar equation  r2 = 9 cos 2θ

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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: Find the exact length of the polar curve r=1+ cos 0

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Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines y = -5

A: We need to find the equation in polar form for the given line

Q: Sketch the graph of the polar equation.r = 3(1 + cos θ)

A: To sketch the graph of r=3(1+cos θ), use Desmos graphing calculator and label the axes.

Q: Sketch the graph of the polar equation.r = 1 + 2 cos θ

A: Consider the provided polar equation, r=1+2cosθ Sketch the graph of the polar equation. Now make the…

Q: Show that the polar equation for x2/a2 + y2/b2 = 1 is                                           r2 =…

A: Plug x=rcosθ and y=rsinθ

Q: Find the exact length of the polar curve. = 02, 02, os 0s 2A

A: Given polar curve is and

Q: Sketch the graph of the polar equation.r = 3 sin 2θ

A: Solution:Given     r= 3 sin2θTo sketch the graph of the polar equation.

Q: Evaluate the polar coordinate E| 4r2 cos 0 rdrd0.

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Q: Find a polar equation in the form r cos (θ - θ0) = r0 for each of thelines √2 x +√2 y = 6

A: Given equation of the line is 2x+2y=6 To change the equation of line to polar equation, we use…

Q: Find in polar Coordinatest X= - 3

A: Change rectangular coordinates in to polar coordinates

Q: Sketch a graph of the polar equation and find the tangents at the pole. r = 3cos2θ

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Q: Given z= -5 - 8i, what is z in Polar form?.

A: The polar form of a complex number a+bi is reiθ, where r=a2+b2, tanθ=ba. Calculate the modulus of…

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: What is the polar representation of z = 6i?

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Q: Work out the product of 2cos60° x 3cos30° in polar and rectangular form.

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Q: Sketch the graphs of (a) r = 1. (b) θ = π /4 in polar coordinates.

A: We need to sketch the graphs of (a) r = 1 and (b) θ = π /4 in polar coordinates.

Q: Write a polar equation of the form r sin(0-00) = ro for the line 3 x + y 1. 2mark dentify and draw…

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Q: Give four different pairs of coordinates for the point shown on the polar grid

A: The solution is :

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: 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: Sketch the graph of the polar equation.r2 = 4 cos 2θ (lemniscate)

A: The polar equation is,r2=4 cos 2θ

Q: Sketch the polar curve with the given equation = -3 cos 0,

A: Polar equation r= -3 cosθ , -π≤θ≤π

Q: Find the distance between P1(1, –91°) and P2(3, 335°) on the polar plane.

A: We know that, Distance between two Cartesian coordinates is,  Distance , D=x2-x22+(y2-y1)2 We know…

Q: Sketch the graph of the polar equation.r = 2 sin 4θ

A: Given: r = 2 sin 4θ

Q: Sketch a graph of the polar equation  r = 4 − 3 cos θ

A: Given polar equation:                                     r = 4 − 3 cos θ

Q: 5. Find the Cartesian form of the polar equation: r sin 0 = In(r cos 0)

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Q: Sketch the graph of the polar equation.r = 2 - cos θ

A: We need to sketch the graph of the polar equation.

Q: 2. Find two polar representations for the point having cartesian coordinates (6V3,6). One of your…

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Q: Find the slope of the polar curve at the indicated point. r = -9 + 3 sin θ, θ = 0

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

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Q: Sketch the graph of the polar equation.r = 2(1 + sin θ)

A: To find : sketch graph of  r = 2(1 + sin θ)

Q: 1. Transform the polar equation 4 cos 0 cos² 0 + 1 into its Cartesian form and identify the curve.

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Q: compute the length of the polar curve. r = cos2 θ

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Q: Find the polar coordinates when r is positive and when r is negative

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Q: Use the Distance Formula to approximate the distance between the two points in polar coordinates. 5,…

A: We are going to solve

Q: Match the point in polar coordinates with either A, B, C, or D on the graph. 1)

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Q: Graph the polar equation r= 1 - 2 cos 0. %3D

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Q: Sketch a graph of the polar equation. = sin(40) n/2

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Q: Perform the given polar form into rectangular form complex number. 10 1+jv3 1-jv3,

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Q: Find the three additional polar coordinates of (2, 7pi)

A: Polar coordinates: Usually we consider r and theta as polar coordinates. The notation for denoting…

Q: Sketch a graph of the polar equation r2 = 4 cos 2

A: Given:       r2=4 cos2θ First, notice that             r2=4 cos2θ⇒4 cos2θ=2cos2θ Applying following…