Written Assignment 4: Advanced Math ProblemsThis assignment requires your responses to a 10-item...

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Written Assignment 4: Advanced Math Problems

This assignment requires your responses to a 10-item math problem-solving exercise using advanced math and differential/integral calculus. It will be used to demonstrate your understanding of the application of advanced math and theoretical calculus in your field of engineering technology.[MO 5.1, MO 5.2]

Study the information and examples in your discipline’s Review and Study Examples, as well as any study materials you need to refresh your advanced math knowledge.

Download or view the assignment sheet for Written Assignment 4 for your engineering discipline.

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aps-490-written-assignment-4-math-problems-lrmfmlbo.docx

Rahul · Accepted Answer

WRITTEN ASSIGNMENT 4—ESET
Student Name: _________________________		Date: _____________
Exercise 1
Given the following conditions for a simple electrical circuit, as shown in the diagram below, the capacitance is 1 farad, the inductance is 1 henry and the impressed voltage is V volts at time t.
The total charge (coulombs) in the circuit at time t is given by the equation:
Qt=3t+2t2-2 (coulombs) 
Determine the formula for the current, and the current at times t = 0 and t = 1. Remember to use radian measures for the trigonometric functions.
Ans1: Current = dQt/dt = d/dt(3t+2t2-2)= 3+4t
 Current at t=0 is 3+4*0 = 3A
Current at t=1 is 3+4*1 = 7A
Exercise 2
The total charge (coulombs) in a given circuit at time t is given by the equation:
Qt=22t+2t+1 (coulombs) 
Determine the formula for the current, and the current at times t = 0 and t = 2. 
Ans 2: Current = dQt/dt = d/dt(22t+2t+1)= 24
 Current at t=0 is 24A
Current at t=2 is 24A
Exercise 3
In the third assignment, the total charge (coulombs) in the circuit at time t is given by the equation:
Qt=2e-2t2t (coulombs) 
Determine the formula for the current, and the current at time t = 2. 
Ans 3: Current = dQt/dt = d/dt(2e-2t2t)= 4*e-2t – 8*t e-2t
 Current at t=2 is 8*2= -0.22A
Exercise 4
In a more complex electrical circuit, the charge is given by the following equation:
Qt=5 e-4t+3t2 -3te-3t-(t) 3(coulombs)
Determine the equation for the current at any time t,

Written Assignment 4: Advanced Math Problems This assignment requires your responses to a 10-item math problem-solving exercise using advanced math and differential/integral calculus. It will be used...

Written Assignment 4: Advanced Math Problems

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