Question

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1. (8 points) Let r(0) = k tan o be a curve defined in polar coordinates, where k is a nonzero real constant. Find the correct formula for " dy dx

Answer 1

ag Date : 1200 k tano rlo X - y = 8 Cosco rsino dr day gy sino rcoso do rsino dz k tanco Cosca + K secco sino k sec²o Cosco ax K tance sino २ dy dx Seco Seco sino + tano Caso tano sino Caso h(x) = g(x) tan (ro)) n'(x) = 9"(*) ton'lf(+1) + g(*) f'(x) it f(x)? at Xco hlol = g'lo) tań' (fo)) + glo) f'(o) 1+14) hlola u ltan' (1) + (3 - 3 (1+1). n lol 3 dy ab 3b Cosut (4) 3 a (-sinat) (2) - 1/2 cos ut sinat dy dx - ab J 7 ab За tal