QI-Replace the following Cartesian equations by its equivalent polar equations? a) y? = 4x b) (x - 5)2 + y? = 25

Q: Ex: convert Polar equation to Cartesian equation ? 2 r² Sin 20=2

A: First write cartesian coordinates as,x = r cos (theta) , y = r sin(theta).

Q: 3- Convert the polar to Cartesian coordinates 47. a. (2,3) c. (-7, 45°) d. (5, 150°) b. (4, п)

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Q: Write each equation with polar coordinates a) x-y=5  b) x2+ y2 = 6x

A: Convert rectangular coordinates into polar coordinates

Q: 3) Write the polar equations of a) The negative X axis b) The line Y = X

A: Rectangle form to polar form Let (x,y) be a point in rectangular form then x=rcosθ and y=rsinθ…

Q: Convert each equation from rectangular to polar form 2) 1) у%3D 3

A: The solution is given below.

Q: What is a polar equation?

A: Polar equation is an equation that gives the relationship between r and θ, where r is the distance…

Q: If the rectangular coordinates of a point are (1, -1), find polar coordinates of the point.

A: Given (x,y)=(1,-1)

Q: Convert the rectangular equation (z+3)´ + (y + 13)*= 178 into a polar equation. No spaces. Use @for…

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Q: Find the polar equation of 3x2=4-3y2

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Q: Convert the rectangular equation x² - xy + y² = 3 to the polar coordinates 3 2-sin 0 Or= o po² = =…

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Q: The Cartesian coordinates of a point is (4, -4√3). This point in polar coordinates can be…

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Q: #7. Convert into polar equation form. ( 4 marks each ) a) y=5x+3

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Q: 18) Convert the equation to polar form (and solve for "r"): 2x2 + 2y + 12x - 9y = 0 %3D

A: 2x2+2y2+12x-9y=0

Q: Q1 Rewrite the polar equation r= 2sinecose in Cartesian form-

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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: Convert the point whose polar coordinates are (8,") to rectangular coordinates.

A: The polar coordinate (8,5π4) represents that the distance of the point from origin in the polar…