Sketch and label the distributions on an axis:
a. N(2, 9)
b. N(0,1)
9) Sketch the torque speed curve for a typical induction motor. Label the synchronous speed (N) rated torque (TR) rated speed (NR)
2. For f(x.y)-9-9x2-y'* a. Sketch the surface z-f(x,y) b. Sketch at least 3 level curves (label each one with its function value)
2. For f(x.y)-9-9x2-y'* a. Sketch the surface z-f(x,y) b. Sketch at least 3 level curves (label each one with its function value)
2. For f(x, y) =9 - 9x?- 12 a. Sketch the surface - b. Sketch at least 3 level curves (label each one with its function value)
-9. When n is three, what are the allowed values for (? a. 0,1 d. b) 0, 1, 2 e. C. 0, 1, 2, 3 -2,-1, 0, +1, +2 -3, -2,-1,0, +1, +2, +3
9. Sketch the Energy Band Diagram for an (a) n-type material and (b) p-type material and identify the majority and minority carriers for each band diagram. Label ALL energy bands.
Sketch the following 3 distributions on the number line given below. Your sketches will be graded on shape, width and height. Neatness counts. Label your sketches with its corresponding variable. X: N(400, 100), Y: N(400, 50), and W: N(800, 50)
Sketch a V-n diagram. Please label the axes. Label a point "A" where the aircraft would be stalled. Label a point "B" where the structural limits of the aircraft have been exceeded.
9. Flat distribution, high entropy. Consider the following possible distributions you might observe in N = 4 flips of a coin: (Ph.pt) = (0,1), (1/4, 3/4), (1/2,1/2), (3/4, 1/4), (1,0). Compute W for each case, and show that the flattest distribution has the highest multiplicity. JN Kapu ples Exce mar RD Levi mal
3. (a) If the region sketched in (1) above is revolved about the line y -0 (x-axis), sketch and label the typical rectangle(s) needed to use the shell method to find the volume of the resulting solid. (b) Use the shell method to find the volume of the resulting solid 2 pts [9 pts] 4. (a) If the region sketched in (1) above is revolved about the line x-O。-axis), sketch and label the typical rectangle(s) needed to use the disk/washer...
9. A vector field is defined as: 2 marks (a) Sketch this field on the below axis. 0.5 0.5 0.5 2 marks (b) Evaluate ▽ . F. (c) Evaluate ▽ × F and hence conclude whether F is a conservative vector field 2 marks (d) Demonstrate whether there is a scalar function φ such that F and 3 marks] hence conclude whether Fis a conservative vector fiel Recall dx and that this can be used to determine tan dx
9....