(i) Express the vector potential A in cylindrical polar coordinates if Yz XZ A = î (x2 + y2)3/2 ĝ *(x2 + y2)3/2" (ii) Th

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I Express The Vector Potential A In Cylindrical Polar Coordinates If Yz Xz A I X2 Y2 3 2 G X2 Y2 3 2 Ii Th 1 (146.96 KiB) Viewed 24 times

(i) Express the vector potential A in cylindrical polar coordinates if Yz XZ A = î (x2 + y2)3/2 ĝ *(x2 + y2)3/2" (ii) The acceleration of Rovac, the robot vacuum cleaner, moving along a straight line is given by the function a = K - \v2, where v is Rovac's speed and k, are positive constants. Show that a = v (dv/ds), where s is the distance moved by Rovac from its initial position. If Rovac is released from rest, find the speed when it has moved a distance s. 7 (iii) Find real integers p, q and r such that M + 2M2 – 5M - 61 = (M +pl)(M +q1)(M +r1), + = where M is any square matrix and I is the appropriate identity matrix. Hence, or otherwise, find all 2 x 2 matrices M which satisfy the matrix equation 2 M3+2M2 - 5M – 61 = 0.