A conic section -3r²+10ry-3y²-8=0 is rotated through an angle a rad. (i) Find the equations for rotating axes for this conic section. ху (ii) In the r'y-coordinate system, one vertex of the conic section is at (-2,0). Find the corresponding coordinates of this vertex in the zy-coordinate system. (iii) Show that the equivalent polar equation of the conic section is 8 -3+5 sin 201

Q: find and sketch The polar equation for conic section with eccentricity(e=1) and with one of the…

A: See the explanation below

Q: Find the polar coordinates of the center of an ellipse with polar equation r = 8/(4+2cos(theta)).

A: Polar coordinates uses (r, theta) instead of the usual cartesian coordinates (x, y). r is the…

Q: Convert the Cartesisan equations x^(2) = 9y and x^(2) - y^(2) =x into polar equations.

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Q: 1-Write two examples about converting from polar form (r.) to rectangular form (x,y)

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Q: A conic is given by r = 2 – cos 0 (a) Find the eccentricity and identify the conic. (b) Find the…

A: Compare with standard equation in polar then find e and using conditions of e determine the conic

Q: Q4:- choose the correct answer ( (-3, 1), (-2, a/3), (1,1), (1,0), (2,-n/3), (-3,2n) } 1- The polar…

A: In polar coordinates, (r, θ )and (-r,θ±π) represent the same point. That is, if you negate the r,…

Q: Q1/Graph the equation r = cos(40) and convert the equation to an equation in Cartesian coordinates.?…

A: We have to graph the given equation and convert into cartesian coordinates.

Q: z_(1)=5\sqrt(3)cis((3\pi )/(2)); z_(2)=\sqrt(6)cis((\pi )/(4)) find z1z2 in polar form find z1z2…

A: Given,        z1=53cis3π2z2=6cisπ4

Q: Show that a conic with focus at the origin, eccentricity ,and directrix y=-d  has polar equation r…

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Q: system written in polar coordinates is p' = r(r² – 1)? O' = -1.

A: We need to check whether the following system written in polar coordinates is having any periodic…

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

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Q: 5) (a) Write x²+(y-2)² = 9 an equivalent equation using polar coordinates. (b) Writer = 4 csc an…

A: Step 1: Step 2: Step 3: Step 4:

Q: Dmitry and Sofie were converting the rectangular equation, x² - y² = 5y + 3 to polar form. They each…

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Q: How do you convert x2+y2 = 16x2-4y2 to a polar equation?

A: THE EXPLANATION HAS BEEN GIVEN IN  THE ATTACHED FILE.

Q: Complete the parametric equations for the given rectangular equation. (a)   Rectangular equation:…

A: Given a) x2+y2=4y=2sintx=?b) y=-12x+5x=-2t+4y=?

Q: A conic is given by 1 r = 1+2 cos 0 (a) Find the equation of the conic in rectangular coordinates.…

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