MAC 2311C Study Guide - Midterm Guide: Center For Retrospective Digitization, Adze

Let vector u(t) = < 2t, sin t, -cos t> and vector v(t) = <1, t^2, -t>. Find d/di [u(t) cross v(t)] .....(cross product)

17. Let Ar = and ; = 2+iAx. Then lim =11; cos(1+r; (1) [" = cos(1 + 2)dir (B) ["cos(1 + x)di (©) *1 cos(1 + a)dt (D) ["co(1 + zhdr

7. (10 marks) A ladder initially leans against a vertical wall, with its bottom resting on flat ground. Then the bottom starts to slide away from the wall at a rate of 2 m/min. At the moment that the top of the ladder is 4 m above the ground, it is sliding down the wall at 1.5 m/min. What is the length of the ladder?