Problem 1.3.1. (i) Plot each of the following points on the polar plane (Figure 1.1). (3.). (-2,5), (0.). (-4, ). (1.).,

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Problem 1 3 1 I Plot Each Of The Following Points On The Polar Plane Figure 1 1 3 2 5 0 4 1 1 (115.63 KiB) Viewed 18 times

Problem 1.3.1. (i) Plot each of the following points on the polar plane (Figure 1.1). (3.). (-2,5), (0.). (-4, ). (1.)., (2.). (1.). 11m 12 13m 12 26 HA a. (1,1) c. (√3,-1) Solution: w|f 4 17 17m 12 12 (ii) Which polar coordinate pairs label the same point? a. (3,0) b. (-3,0) c. (2,2π/3) d. (2.7m/3) e. (-3,) f. (2,7/3) g. (-3, 2π) 11. (-2,-/3) Solution: Figure 1.1 (iii) Which polar coordinate pairs label the same point? a. (-2,7/3) b. (2,-/3) c. (r.0) d. (r, 0+) e. (-r, 0) f. (2.-2/3) g. (-1,0+) h. (-2,2/3) Solution: b. (-3,0) d. (-3,4) 1 Alm 24 <-0 23 11m 6 (iv) Find the Cartesian coordinates of the following points (given in polar coordinates). a. (√2, π/4) b. (1,0) d. (-√2, π/4) c. (0, π/2) Solution: (Polar axis) (v) Find the polar coordinates, 0 ≤ 0 < 2 and r 20, of the following points given in Cartesian coordinates.