UCSF 137 Lecture 10: UCSF 137 - Lecture 10 (2)

| Find the normal vectors to r(t)-(5t, cos t) at t and t 4 -4. 4 4

Find a parametrization for the circle having radius 2 and center (-5, 1, 4) that lies in a plane parallel to the yz-plane. r(t) = -5 + 2 cos t, 1, 4 - 2 sin t r(t) = 5 - 2 sin t, -1 + 2 cos t, -4 r(t) = -5, 1 - 2 cos t, 4 - 2 sin t r(t) = 5 - 2 cos t, -1, -4 + 2 sin t r(t) = -5 + 2 sin t, 1 - 2 cos t, 4 r(t) = 5, -1 + 2 cos t, -4 + 2 sin t

Find dy/dt y = (e cos(t/5))4 -4/5 sin (t/5)e4cos(t/5) -4/5 sin (t/5)e4cos(t/5) -4/5 sin (t/5)e4cos(t/5) -4/5 (esin (t/5))3