Hi, I am a grade 12 student, finishing my advanced functions at the moment, in a few short weeks i shall be taking calculus, in my last trig unit my teacher remarked that although i did well, i should brush up on my 'basic rules for algebra' from what i understand this is stuff that i don't...
Homework Statement
Prove the following identities
31c) sin(\frac{\pi}{2}+x)=cosxHomework Equations
sin2x+cos2x=1
The Attempt at a Solution
The idea here is to prove the identity by making LS=RS
so here is what i have done, but I am not sure if it is the right way, since the book shows it...
oh hey...i think your right...even if just move in the general direction it will tell me weather or not its positive or negative...
and then i can multiply all the postives/negatives and determine weather the graph in that interval is above 0 or below 0
thanks
Homework Statement
Solve each inequality without graphing the corresponding function.
State the solution algebraically and graph on a number line:
x/x2-9≤0
so i factor out the denominator and get (x+3)(x-3) the root here is zero, but for some reason in the chart (for rational/reciprocal...
well..given the fact that they have 2 separate distinct terms to define them(trinomial and polynomial), and they don't really use it all under the umbrella term ' polynomial' i didnt really know that they are the same thing, at least until now#edit
do quadratics fall under polynomials as well??
you mean, trial and error?(i guess factor 'theorm'?) where after trial and error you see what turns the equation into a zero, and use that monomial to divide the equation, and via long division you find the other factor(and you then have 2 factors)If so...i thought you could only use long...
Homework Statement
x3-13x+12=0
The book shows the following solutions, i should add that i have very little practice with factoring cubic TRINOMIALS, you see i factor trinomials through an intuitive understanding, i tried staring at the problem a few hours yesterday, tried youtube/google for...
Homework Statement
3x2-8x-1=0
Homework Equations
The Attempt at a Solution
So here i attempt to solve the equation...usually the way i go about this is
you multiply 3 by -1
you get -3
then i ask myself what multiplies to -3 and adds to -8...after that i am able to solve...
Homework Statement
What is the inverse of this logarithm equation?
y=-log5(-x)
i tried it and i got y=-5(-x)hm.. you know how people say that if you want to find the inverse graph of something just switch the x and y coordinates from the table of values? Well i also tried that approach and...
so what is the difference between a mathematician and an actuary? Identical training and stuff? Could i be an actuary if i am a mathematician with a phd?
in terms of becoming an actuary...what is the career path one takes through school??
for instance for a mathematician they would have to get...
hm... so what is an actuary? Is it like an advanced version of an accountant?
Also the reasoning behind me going into strictly mathematics is not that i want to do technical work...it is that mathematics is at the center of everything...from engineering to physics...to finance etc...
sure a...