An equation of the line y=4x-2 in polar coordinates is: r=0 r=-4/(2cose -sine ) O r=4/(2cose -sin® ) O r=0 None of these O r=-2/(sine -4cos®)

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

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. ²=5y (Type an…

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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: For each pair of rectangular coordinates, (a) plot the point and (b) give two pairs of polar…

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. = sin(30)…

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Q: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

A: Consider curve C of equation (x2 −2y + y2)2 = x2 + y2. Among the options indicated,select the one…

Q: Find the Cartesian coordinates for the point (6,7) in polar coordinates

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Q: 9- Give five examples about application of polar coordinates in real life

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Q: Find parametric equations for the circle of radius 2 with center (1, 1). Use the equations to find…

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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: Explain why the vertical-line test used to identify functions in rectangular coordinates does not…

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Q: What are the standard equations for lines and conic sections in polar coordinates? Give examples.

A: The standard polar equation for lines is given by

Q: Translate the rectangular coordinates (1,1,-Square root of 2) into spherical coordinates?

A: We will convert (x,y,z) to (r,θ,φ). using formulas as follows:

Q: 1 Find parametric equations for the path taken by a point the distance between the centre and the…

A: The given question has been solved in detail

Q: Find the equation in polar coordinates of the line through the origin with slope 1/2.

A: Given: Polar coordinates of the line through the origin with slope 1/2.

Q: 10) (section 10.7) Find parametric equations for a circle centered at ( 5,6) with a radius of 4 and…

A: Given:

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

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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: The path of a projectile that is launched h feet above the ground with an initial velocity of v0…

A: x=100 cos 40t=76.6t and y=6+100 sin 40t-16t2=6+64.3t-16t2 describe the position of the ball as a…

Q: Find parametric equations for the line of slope 2 that passes through the point (3, 5)

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Q: A certain corner of a room is selected as the origin of a rectangular coordinate system. A fly is…

A: The location of the fly in rectangular coordinates is 1.2,2.6. The polar coordinates of a point…

Q: Find in polar Coordinatest X= - 3

A: Change rectangular coordinates in to polar coordinates

Q: ii) Show that the polar equation of the top half of the parabola with Cartesian equation 1 y = v2x…

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Q: Convert the point (3, V5) from rectangular to polar coordinates with 0 < 0 s a/2. (Round your…

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Q: Convert to polar coordinates with r,≥0 and 0≤theta<2

A: Given query is to find the the equivalent polar coordinates.

Q: Convert the polar equation to rectangular form and sketch its graph. r = 3 sin(0) y 3.0 y 2.5 2 2.0…

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

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Q: 5. Find parametric equations for the line through the points (1, 3, 0) and (2, 4, 4).

A: 5. Given that, the points are 1,3,0 and 2,4,4. Note that, the symmetric equation of the a straight…

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: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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

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Q: Find polar coordinates of the point whose rectangular coordinates are (0, -4). Express θ in radians.

A: Rectangular corrdinates = x,y = 0,-4Let, the polar coordinates be = r,θFormula for calculating r and…

Q: cosh (0.375-j0.485) express in polar form

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Q: Find the equation in polar coordinates of the line through the origin with slope

A: The line passing through origin and slope 13

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: All the polar coordinates of the point (4, (*) are: 3.

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Q: 11) Convert the point given in polar coordinates to rectangular coordinates: (-2, -).

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Q: Consider the point 4, 3 in polar coordinates.

A: See attached file for a step by step explanation.

Q: Translate the spherical equation below into both cylindrical and rectangular coordinates.…

A: Let x=r sinφ cosθ, y=r sinφ sinθ, z=r cosφ. Notice that xz=tanφ cosθ and yz=tanφ sinθ. Further,…

Q: Find the parametric equations of the li segment that passes through the point

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Q: Find the points at which the polar curve r= 5+ 10 sin 0 has a horizontal or a vertical tangent line.…

A: the equation of the given curve in polar form is: r=5+10sinθ we have to find the points to the curve…

Q: 5. A rock is tossed from a height of 2 meters at an initial velocity of 30 m/s at an angle of 20°…

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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 coordinate (5,1) to polar coordinates, 0 < 0 < 2T Enter exact value. =

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Q: Select two different sets of parametric equations for the rectangular equation. 7 y =

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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: sinh (0.346 –j0.548) express in polar form

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