Department of Electrical EngineeringThe City College of The City University of New York (CCNY)

ENGR 103 Computer-Aided Analysis Tools for EngineersSpring 2015

Dr. NidalKhrais

Lab Instructor/Teaching Assistance: Dr. SasanthiPeiris

Lab 4 Tasks: Functions and Files

Due 03/31 (Tuesday Classes)

Due 04/02 (Thursday Classes)

Task 1.For three values of x and y, confirm that ln (xy) = ln x + ln y.

Task 2.Find the magnitude, angle, real part, and imaginary part of the Number

Task 3.For three values of x, confirm that eix=cos x+i sin x

Task 4.For three values of x in the range 0≤x≤2π confirm that sin−1 x+cos−1 x=π /2

Task 5.For three values of x in the range 0≤x≤2π confirm that

tan(2x )=2 tan x /(1−tan2 x )

Task 6.For three values of x in the range0≤x≤5 , confirm that sin(ix) =isinhx.

Task 7.For three values of x in the range −10≤x≤10 , confirm that

Task 8.The equation has four solutions in the interval -5 < x < 5. Find these four solutions.

Task 9.The function has two minimum points in the interval -5 < x < 10. Find the values of x and y at each minimum.