Homework Statement
If A is an invertible nxn matrix, then A has n distinct eigenvalues. (TRUE/ FALSE)
Homework Equations
The Attempt at a Solution
True? We weren't really taught the concept of eigenvalues too well, but from what I can gather square matrices appear to have the...
I used the similar triangles and gathered that the ratio of (5/3)t:14 was equal to 2:h.
By rearrangement, h=84/(5t)
Therefore, dh/dt=-84/(5t^2)
Since it takes 6 seconds for the man to reach the point 4m from the wall, I substituted t=6.
So, my end result for dh/dt was -7/15.
Is this the...
Ok. Here is my latest attempt at a solution:
I devised a diagram like you said and tried to use a ratio.
Let x be the distance from the wall and h be the height of the shadow above the wall.
tan(theta)=h/14
So, in terms of h: h=14tan(theta)
But tan(theta)=2/(14-x)
Substitute this into...
Homework Statement
A spotlight on the ground shines on a wall 14m away. A person of height 2 m walks toward the wall on a direct path between the spotlight and the wall at a rate of 5/3m/s. How fast is the height of the shadow on the wall changing when the person is 4m from the wall?Homework...
If you don't quite understand General Relativity, I'd probably recommend reading a few books explaining fundamental principles behind the theory such as relativity and causation. I know when I was first looking at it this helped me a lot. Then, you can have a closer look at the mathematics later...
Sorry for the extremely late reply.
It seems that I have wrongly slipped in 'laser' there. I was simply referring to a beam of accelerated electrons.
After having a quick look on the Internet I couldn't find any useful information on beta+-radiators. Where can I find one of them?
Hi,
I am an Australian High School student who enjoys studying mathematical and scientific phenomena. It is a mandatory requirement of all students my age that next year we complete a Personal Research Project. The project is designed in a way that allows students to pick their desired area of...