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Question 4.9: The Cartesian coordinates of P are (4, 7,−6). State the cyli......

The Cartesian coordinates of P are (4, 7,−6). State the cylindrical polar coordinates of P.

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We have

x = 4    ,  y = 7,      z = −6

Using x = 4 and y = 7 the values of r and θ are found to be r = 8.0623, θ = 60.26° (see Example 4.6). The z coordinate remains unchanged. Hence the cylindrical polar coordinates are (8.0623, 60.26° ,−6).

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