3 -0 Let C be the polar curve defined by r = e 43 output given...

 

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3 -0 Let C be the polar curve defined by r = e 43 output given below: > with (plots): polarplot (exp (3/43*theta), the ta=0.. 4*Pi); T З п 4 lies on the polar curve C. " 5 π with E R. Only a portion of that curve is represented in the Maple z = T 2 Briefly explain why the point represented by the complex number √√3 i 2 -e 2 e - 0 0.5 1 15 2 3 T In the following, we can think of the curve C as being drawn in the Argand plane, meaning we think of points in the plane as complex numbers. That is, a point with coordinates (x, y) in the plane corresponds to the complex number x + iy. π 86 T 4 - ㅠ 86 7 T -0 L ✓ 1) Let A be the point on the curve C corresponding to curve C at A. Enter the exact value of m in the box below, using correct Maple syntax. m = Find the gradient m of the tangent line to the TT ㅠ ii) The points A and B are the points on C corresponding to = and 0 = -, respectively. In the essay box below, write the main steps needed to show that the tangents at A and B are perpendicular. Note: Again, there is no need to show all calculations; just highlight the main ideas of the argument. 3 -0 Let C be the polar curve defined by r = e 43 output given below: > with (plots): polarplot (exp (3/43*theta), the ta=0.. 4*Pi); T З п 4 lies on the polar curve C. " 5 π with E R. Only a portion of that curve is represented in the Maple z = T 2 Briefly explain why the point represented by the complex number √√3 i 2 -e 2 e - 0 0.5 1 15 2 3 T In the following, we can think of the curve C as being drawn in the Argand plane, meaning we think of points in the plane as complex numbers. That is, a point with coordinates (x, y) in the plane corresponds to the complex number x + iy. π 86 T 4 - ㅠ 86 7 T -0 L ✓ 1) Let A be the point on the curve C corresponding to curve C at A. Enter the exact value of m in the box below, using correct Maple syntax. m = Find the gradient m of the tangent line to the TT ㅠ ii) The points A and B are the points on C corresponding to = and 0 = -, respectively. In the essay box below, write the main steps needed to show that the tangents at A and B are perpendicular. Note: Again, there is no need to show all calculations; just highlight the main ideas of the argument.

Answer rating: 100% (QA)

To explain why the point represented by the complex number z 32ei286 lies on the polar curve C we ca... View the full answer