Tutors Answer Your Questions about Complex Numbers (FREE)
Question 88295: PLEASE HELP ME!! THANK YOU LOTS
find the mass and radius of three of the nine planets in our solar system. Be sure that the masses are expressed in kilograms and the radii are expressed in meters.
Using your data, calculate the gravitational acceleration on each of the three planets you selected. Note: With the masses measured in kilograms and the radii in meters, the units of gravitational acceleration would turn out to be meters per squared seconds.
Use the gravitational accelerations that you calculated in Step 2 to find the period of a 2 meter long simple pendulum on each of the three planets. Note: The length of a simple pendulum is normally expressed in meters, so it is sufficient to replace L with the number 2 in the period expression.
Please submit your assignment.
Click here to see answer by bucky(2189) |
Question 90171: I've been given this problem and I keep getting stuck half was down it and going back on myself, wondered i f anyone could help out with it.
Given that
cos x = (e^jx + e^-jx)/2 and
sin x = (e^jx - e^-jx)/2j
and using only this information, prove that
cos^2 x - sin^2 x = 1 - 2sin^2 x
Click here to see answer by kev82(148) |
Question 92522: I find it difficult to grasp the idea of 'x raised to the power i (or multiple of i', or indeed 'x raised to the power of a general complex number'. I can understand 2^3, 3^0.5 etc., but what is the meaning of, say, 3^i, 3^(2+3i) etc. What are, say, '3^i', '3^(2+3i)', and why? How does this relate to Euler's formula?
The problem comes from reading 'The Road to Reality' by Roger Penrose, ISBN no 0-224-04447-8, p90 (section 5.2 entitled 'The Idea of the Complex Logarithm'). Real logarithms - OK: complex ones I just can't quite grasp.
Click here to see answer by Nate(3500) |
Question 92696: I need to know if my answers are correct. I am to classify each of the problems as real and rational, real and irrational, or imaginary. Are my answers correct?
a. (2)^1/2 + 2 - Real and rational
b. i - Imaginary
c. 0 - Real and rational
d. 3-(-5)^½ i - Real and imaginary
e. (100)^1/5 – Real and rational
f. 30007 - Real and rational
g. (8)^1/3 - Real and rational
h. 4+0i - Imaginary
Click here to see answer by stanbon(57962) |
Question 93128: if z1=2+j, z2=3+j and z3=j3
what is the equivalent impedance z if z= z1 + z2 + z3 also if
1/z= 1/z1 + 1/z2 + 1/z3 ?? this was a question given to us for homework and it was not in any text book also i have to express my answer for z in both rectangular and polar form and draw an argand diagram
Click here to see answer by stanbon(57962) |
Question 94100: Hello
I need some assistance with this one Ta. It is asking me to: Write a full solution for the following:
A journey takes 1.5 hours longer at 50kph than it does at 75kph. Find the length of the journey.
Thank you
Dave
Click here to see answer by checkley75(3666) |
Question 94121: Any help would be really appreciated please. Ta
This is the last of my problems for now, I am really stuck. I do not know how to get the x and the y onto the same side with the = at the end. Ta
I have solve for X and Y
y=9-3x
x=8-2y
Click here to see answer by checkley75(3666) |
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