Search results

How do you work out the square root of 12-5i ? By doing sqrt (12-5i) = a+ib and solving simultaneously, he result is a crazy quartic eqn which can be difficult to find the roots. What is the simplest way of approaching this q? Thanks.

How do you use the syllabus to compile your notes?

Hello, How do I sketch: 1. y = f(|x|) 2. y = |f(x)| 3. |y| = f(x) For the function: http://imgur.com/P2xfTr5 I have a couple things that need clarification: *Is it better to find the equation of the function and somehow continue accordingly? or is it better to recognise the nature of each...

Hello, I have been relying on my tutor to learn ahead of my school content, but there is now a two week break (school holidays) Any suggestions on effective methods to self-learn content, specifically 4U? I think i'm more of a visual learner (diagrams, step-by-step solutions etc) For some...

P(x) is an even function and passes through the point (1,2). What is the remainder when P(x) is divided by (x+1)? The possible answers were a) 0 b) -1 c) 1 d) 2 What I thought was that since P(x) is an even function, P(-1) = P(1) so the answer is 1? Not 100% sure about this one. Any help is...

Hello, "Sketch the graph of y= |x+1| - |1-x|" From what I know, to solve is to use the ++ , +-, -+ and -- method, and somehow, the result becomes what seems to be a piecemeal function. Any help please? thanks.

The question is to prove "The angle in a semi-circle is a right angle". Initially, I thought of the locus of a circle, with x-coordinate being acos(theta) and the y-coordinate being asin(theta) (for convenience, theta will be z) so x = acosz and y = asinz and cosz = x/a and sinz = y/a By using...

Just finished my prelim exam, and I have two main questions If there is a charged plate, with charges X,Y, and Z residing within it. All the charges are equal. X,Y, and Z are located at different positions within the plate. X is closer to the positive side, Z in the middle and Y closer to the...

Might be a bit late to say this, but good luck to all my fellow prelim students who are currently doing their final exams! Can't wait for holidays to start so I can start fresh again and study more efficiently

Hey! Looking for any independent prelim papers for EXT 1:cook: Please PM me if you're willing to share!

Which of the following is an expression for sin8x/sinx a)cos4xcos2xcosx b)2cos4xcos2xcosx c)4cos4xcos2xcosx d)8cos4xcos2xcosx I have no idea how to deal with the sin8x Any help or suggestions are greatly appreciated Update: Found a cheap method to find the answer, but I want to know what to do...

Hello guys, What is the oblique asymptote for the function f(x) = x^2/(2x+3) By dividing both the numerator and denominator by x, I got x/2, which translates into the oblique line 2y = x However, graphing calculators prove otherwise, as the line does not pass through the origin. Is there...

P(x) is a monic polynomial of the fourth degree. When P(x) is divided by x+1 and x-2 the remainders are 5 and -4 respectively. Given that P(x) is an even function ie. one where P(x)=P(-x) a. Express it in the form p0+p1x^1+p2x^2+p3x^3+p4x^4 Well what I instantly thought was equating both by...

Greetings, What's your opinion on the best possible format for typing notes? I am assuming word document is certainly at the top. If so, how do you write yours? for example, dot points, chunks or a constant flow of info? I thought power point could also be interesting, for example putting...

Let me get this clear If I get an equation, factored somewhere along the line of 2(m-2)x^2+... When using discriminant or any other formulas in general, do you take into account the inside term, or the entire part? Thinking about it, technically, the 'a' in ax^2 should include the entire...

Here's the situation.. From the half yearly exam, I was ranked 2nd out of around 30 kids. My cohort is really weak and my teacher is irresponsible, being away for over two weeks. My only competition is another person, who is away for over half of the time. I am the only 3U student amongst a...

If a polynomial has 'integral roots', what condition does this indicate? Apparently integral roots means that the roots are integers, but how does this affect the question?

Greetings, are there any tricks to determine how to factor non-monic quadratic equations? for example, what would be the common thought process to factor something like y = 6x^2-5x+1 Thanks in advance

If I find the second derivative for a function, and end up with something like y'' = 6x -7 How can I find out the points of inflexion? Also, how can I determine whether they are concave up or down? For finding the points, I am assuming y'' = 0 and solve for x and from there, depending on...

If I have the origin, (0,0) and a random point along the y-axis, for example A (0,2) and am given point, for example P (-3,-1) how can I make an equation for line PB if B is perpendicular to OA? In simpler terms, I want to find the perpendicular gradient of OA