Find all polar coordinates of point P where P = (9,pi divided by 5).

(-9, π/5 + (2n + 1)π)

Step-by-step explanation:

Adding any integer multiple of 2π to the direction argument will result in full-circle rotations, which are identities, so this family is equivalent to the give coordinates:

(9, π/5 + 2nπ), for any integer n

Also, multiplying the radius by -1 is a point reflection, equivalent to a half-turn rotation. Then add π to the direction for another half turn, and the result is another identity. So this too is equivalent to the given coordinates:

(-9, π/5 + (2n + 1)π), for any integer n

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

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