# Find w t and w s if sin xyw xy 2x st and 22 y s t 6

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10.Find wtand wsif sin()xywxy, 2xst, and 22ys t. 6 Marks
MTH 330 Midterm 1- Fall 20177 of 11 11.If tkjtitr2)1(2)(is the position vector of a moving particle, then a)Graph the path of the particle )(tb)Graph the velocity, and the acceleration vectors at 2c) Find the speed at 2Marksrtt7
MTH 330 Midterm 1- Fall 20178 of 11 12.Let the temperature at a point (x, y, z) in space be 2( ,, )2TF x y zzxyxza) In what direction is Tincreasing most rapidly at the point (1, -1, 2)? b) A bug is at the point (1, -1, 2) moving at a speed of 5 𝑚/?in the direction 2,2,1. Does the bug feel an increase or decrease in the temperature? At what rate (degree/second) is it experiencing the temperature change? 7 Marks
MTH 330 Midterm 1- Fall 20179 of 11 13.a) FindCurlFif kxzyzxjxyyxiyzyxF)()21(5),,(3233b) If tkjtittr5)sin(3)cos(3)(, then find ,,T N Band the curvature.8 Marks
MTH 330 Midterm 1- Fall 201710 of 11
MTH 330 Midterm 1- Fall 201711 of 11