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A prism with an altitude of 15 cm has an octagonal base
inscribed in a square with side 10 cm. Find the volume of the prism.
Suppose that f(x) is differentiable for all values of x such that f(a) = a. f(-a)=-a and [ƒ/"(x)| all x. Show that f(0) = 0.
After the semester ends, you want to go to a road trip to Kent in Connecticut. You want to find a route with the shortest distance to arrive there. Depending on the route you may pass through five towns (A, B, C, D, E). Table below shows the mileage between two cities through the road that directly connects two towns without any intervening towns. The dash shows that there is no road directly connecting these two towns.
The roads are not one-way.
Mileage
Town
A
B
C
D
E
Kent (Destination)
West Haven (Origin)
20
30
25
-
-
-
A
5
-
35
-
-
B
10
27.5
20
-
C
-
25
-
D
5
30
E
40
Draw the network for this problem where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles.
Use the Dijkstra algorithm to find the shortest path.
Formulate and solve a spreadsheet model for this problem.
You are a supervisor assigning people to different jobs. Every person must perform at least one job and can perform at most three jobs. Job 1 requires two people. Every job must be done. Anyone doing job 5 cannot do job 2 or 3. The table below provides the cost of assigning each individual to each job.
Person/Job
1
2
3
4
5
1
12
8
5
8
9
2
10
7
3
10
6
3
7
4
5
8
7
Create an IP to optimize this problem.
Solve your model using MS Excel or CPLEX.
Design a hill climbing algorithm to find the solution of your model (write all of the steps). Show two steps of your model.
If the central angle of a spherical wedge is 1 radian. What is the volume if the
radius is 3units?
a. Briefly describe the transistor operation with appropriate diagram.
b. Describe the common collector characteristics curve.
a. Draw JFET transfer characteristics curve with appropriate details.
b. How a MOS-FET work better than JFET, describe it with appropriate diagram
a. Define FET temperature sensitivity. Describe pinch off voltage
b. Describe P-channel JFET characteristics curve.
The switch in the circuit shown in Figure 2 has been closed for a long time. It opens at
t = 0. Analyze it and find i(t) for t > 0.
(25 marks)
Figure 2
The switch in the circuit shown in Figure 2 has been closed for a long time. It opens at
t = 0. Analyze it and find i(t) for t > 0.
#331389 on Nov 2022