2.1 The Polar Method If X and Y are independent standard normal random variables, then the po- lar coordinates, R and are also random variables. From Equation (7), the probability density function for R is f(r) = re-r²; r≥ 0 (8) So observations of R can be generated using the Inverse Cumulative Method. The corresponding observations for are even easier to generate: is uniformly distributed on the interval [0, 27]. Then one can generate a pairs (X,Y) of independent standard normal random variables via: Rcos() Y = Rsin(0) X - (10)

Q: Graph the polar equation below r² = 9 cos (28-7)

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Q: Plot the point and give three other polar coordinates to describe: (1, -)

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Q: From (2.7 +j3.2)^4 1. Convert to polar form 2. From polar to Cartesian 3. From Cartesian to…

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Q: 3. Find a polar coordinates for the point that is described in Cartesian coordinates as (x,y) = (2,…

A: We can solve the given problem using the concept of polar coordinate of given problem.

Q: Convert the polar equation r 2 cos 0 to rectangular form. O g2 + y? 2 x2 + y ? = 2x x² + y? = 2x

A: solution:-r=2cosθconversion equationspolar to rectangularx=r cosθx=r sinθr=x2+y2

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. (x-14) + y² =…

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Q: plot the point given in polar coordination (3,-3π/4). find three aditional polar representation of…

A: This is a problem of polar to cartesian conversion and the idea of parametrization.

Q: Replace the Cartesian equation with an equivalent polar equation. x² + y² = 100 Or-10 sin 0 Or- 10…

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Q: ************ **** Plot the point that has the given polar coordinates. (2, ) R/2 R/2 T/?

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