The unit vector (in cylindrical coordinates) parallel to the z-axis at Q (r = 5, θ...

The unit vector (in cylindrical coordinates) parallel to the z-axis at Q (r = 5, θ = π/2, ϕ =1.5π) is

Expert Solution

genius_generous answered 2 years ago

In Matlab: Any complex number z=a+bi can be given by its polar coordinates r and θ,...

In Matlab: Any complex number z=a+bi can be given by its polar coordinates r and θ, where r=|z|=sqrt(a^2+b^2) is the magnitude and θ= arctan(ba) is the angle. Write a function that will return both the magnitude r and the angle θ of a given complex numberz=a+bi. You should not use the built-in functions abs and angle. You may use the built-in functions real and imag.

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The Cartesian coordinates of a point are given. (a) (−3, 3) (i) Find polar coordinates (r, θ)...

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1. A vector is parallel to the y-axis. what is its x component? 2. A vector...

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Two vectors in polar coordinates (R, θ) are given byV1 = (5.0, 125°) and V2 =...

Two vectors in polar coordinates (R, θ) are given byV1 = (5.0, 125°) and V2 = (4.0, 260°). Find the sum V1 + V2 in polar coordinates. Give the answer to 2 significant figures for the magnitude and to the nearest degree in angle. Hint: first convert the vectors to Cartesian form and add them to get the resultant vector. Then convert this resultant vector to polar form

Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8...

Find the temperature distribution T(r,θ,z) inside a cylinder of height z= 20 and radius r= 8 , if the cylinder temperature is zero in all surface except the bottom circular surface where it is divided two halves , the first is held at T1= 100 c and the other is held at T2=200 c. please use laplace equation and show me the solution with the details of the derivation .

3. Geodesics in R2 : Consider 2D flat space in polar coordinates r and θ. Find...

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A conductive sphere is placed in a uniform electric field parallel to the z axis How...

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The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r,...

The Cartesian coordinates of a point are given. (a) (2, −5) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) = (ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) = (b) (-2, −2) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) =...

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