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another method attached

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i think fitzpatricks 2 and 3 unit books are by far the best. he gives proper step by step explainations for all new concepts and provides many worked examples giving a thorough understanding. his books also provide harder questions after the concepts are completely understood however...

thanks again for ur help im screwing up discrete too, hate that subject

A function f(x,y) is said to be homogeneous of degree n if f(tx,ty) = tⁿf(x,y) for all t>0. Show that such a function satisfies the equation: x * ^∂f/_∂x + y * ^∂f/_∂y = nf thanks in advance to anyone that can help

solution attached

just wondering what raw mark do you need to get to pass phys1131

i think alot of people would agree that statistics is the most boring type of maths pure is probably the most popular

what is your favorite area of maths out of the following: pure applied statistics

i just applied for a transfer through uac and need some help: is the uac code for elec eng/maths the same as elec eng (425008)? where can i find the subjects needed for the combined program does it cost full fee to do subjects in the summer session thanks in advance to anyone that...

hey, does anyone know if i can change from 1st year comp eng to elec eng without loosing any time in completing the degree? also, when looked up the first year subjects for elec eng, one said COMP1011 and the other COMP1091. does anyone know which one is more up to date. thanks

solution attached for anyone who is too lazy to work it out

just wondering what proportion of you guys agree with me that mathematica is infinitely better than maple

hey, can anyone help me with questions 4, 5, 6 & 8 of the attached file? have the calculus test on monday

thanks for your help

just thought of a way to do it (attached) but its very messy and theres definately got to be an easier way can anyone think of a way that does not involve showing <i>f</i> (<i>a</i>) = -<i>f</i> (-<i>a</i>)?

Suppose that <i>f</i> is a continuous at 0 and that for all x, y є R,<i> f </i>(<i>x</i> + <i>y</i>) = <i>f </i>(<i>x</i>) + <i>f </i>(<i>y</i>) (a) Show that <i>f</i> (0) = 0. (b) Prove that <i>f</i> is continuous at every point a є R. im ok with part (a) but i have no idea how...

who do you think will win the apprentice?

my solution to the first ones attached