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Answers must be correct. Or else it will be flagged. All sub-parts need to be an

ID: 2888342 • Letter: A

Question

Answers must be correct. Or else it will be flagged. All sub-parts need to be answered with step by step process showing all work and reasoning.

DON'T PROVIDE WRONG ANSWERS AND DON'T ANSWER IF YOU DON'T WANT TO ANSWER ALL SUB-PARTS. INCOMPLETE ANSWERS WILL BE FLAGGED

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Answers must be correct. Or else it will be flagged. All sub-parts need to be answered with step by step process showing all work and reasoning.

DON'T PROVIDE WRONG ANSWERS AND DON'T ANSWER IF YOU DON'T WANT TO ANSWER ALL SUB-PARTS. INCOMPLETE ANSWERS WILL BE FLAGGED

YOU MUST SOLVE THEM STEP BY STEP. DON'T PROVIDE ANSWERS EVERYHWERE. IT WILL BE FLAGGED.

1a,b,c (a) You are given the point (2, 0) in polar coordinates. (i) Find another pair of polar coordinates for this point such that r > 0 and 2

Explanation / Answer

1)

(r,)=(r, ± 2n)=(-r, ± (2n+1)), where n is an integer

(a)

(r,)=(2,0)

(i)

r = 2

=0+2  

=2  

(ii)

r = -2

=0+  

=  

------------------------------------------------------------

(b)

(r,)=(2,-(/6))

(i)

r = 2

=-(/6)+4  

=23/6  

(ii)

r = -2

=-(/6)+  

=(5/6)  

--------------------------------------------

(c)

(r,)=(-2,-(/2))

(i)

r = 2

=-(/2)+  

=(/2)  

(ii)

r = -2

=-(/2)+2  

=(3/2)  

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