It's been a long time since I've had a need for my math knowledge and as a result, sadly, a lot has been forgotten. I had a thought the other day and it has been bugging me ever since. What is the mathematical term for when you continually divide any number by 2 until you no longer get a whole...
I'm an idiot, I can't believe I missed that bit on the second piece, I've just assumed graph go up, graph increasing. Well it's a simple fix, if I change my second part to 1+3e-x2 it's all fixed and it'll be continuous at (0,0).
The reason I chose x2 is because it gives a nice bell shape...
Ok, so I've come up with the following piecewise equation:
f(x)= 4 / e^(x^2), x>=0
1 - 1/e^(x^2), x<0
I'm fairly confident it satisfies all the criteria but I know I'll feel better once somebody confirms it (especially the "f(x) is increasing for x < 0 , and...
Homework Statement
Give an expression for a function f which has all the following characteristics:
f (0) = 4 , and
f is increasing for x < 0 , and decreasing for x > 0 , and
y = 1 is a horizontal asymptote of the graph of f as x→-∞ , and
y = 0 is a horizontal asymptote of the graph of f...
I remember those terms from back in yr 12 but I don't think they apply here since they are not mentioned in this chapter.
I did however come across some additional information in the section on eddy currents. It says that wire, typically copper, is not a magnetic material. A piece of wire held...
The question is a concept question for a chapter in my text book and we are supposed to be able to explain it using the concepts covered in that chapter. The topics covered are:
-Induced currents
-Motional emf (eddy currents come in here and this is the only part of the chapter that...
[PLAIN]http://img837.imageshack.us/img837/5986/diagram1j.jpg [Broken]
Ok, well from my scrappy paint made image above there will be a clockwise current through the loop. i base this on the right hand rule because B is flowing from north to south, v is to the left so the positive charges will...
Homework Statement
You have 2 magnets separated by a distance. The top magnet has its south end facing the north end of the other magnet thus forming a magnetic field. Finally you insert a loop of copper wire (the pic shows a copper tube though) between the two magnets with the open ends...
Assume a sinusoidal current I = I0sinωt passes through the circuit of:
[PLAIN]http://a.yfrog.com/img52/9062/image2c1.jpg [Broken]
Obtain expressions for VC and VL in terms of ω and I0. Sketch the waveform for I, VC and VL, to show the phase relationship between these three variables...
Also it says at the end of the question that the dot product can be used to determine weather the values are correct because they are supposed to meet at right angles, but I don't see how that will work. If I dot A with B it will definitely not equal 0.
I'm really stuck on as how to find A'...
Just a question, the two bars around the R-A is the modulus sign right? I've been trying all night to solve it in every which way I could but no matter what I can't get the same answers as you. I don't suppose you could show me step by step how to get there? I'm obviously doing something wrong.
I'm not sure where I've gone wrong, but I've tried every which way to dot my two solutions for B and D and none of them equal 0 or anywhere near 0 for that matter. I've looked over my calculations about 5 times and can't see anywhere that I went wrong...
Just my trusty scientific calculator and the good old quadratic formula. I've gone through several binder books and notepads with all my scribbling though. Anyway I've come up with these numbers so far and am just about to use the dot product to check they are perpendicular...
Ok, so far this is what I have. I hope I'm on the right track. I've narrowed it down to two equations:
[PLAIN]http://img189.imageshack.us/img189/3694/equat.gif [Broken]
I'm hoping from there I can factorize both sides of the equation so I'll have four x values and four y values. I then presume...
Homework Statement
Basically we are given the coordinates for A=(13.0492, 30.9498, 9.01115) and C=(1.97687, 4.68868, 17.3632) which are two top corners of a cube that is sunk in the ground partway (specifically it's based on the cube near the Melbourne museum). But we don't know where the...
Homework Statement
A skier is going up a slope of 5 degrees to the horizontal. She is skating so only her skis provide propoltion. The static and kenetic friction coefficients for this situation are \mu_{s}=0.12 and \mu_{k}=0.07
Find the magnitude of her maximum possible uphill...