Jackpot's Posts
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jackpot: [color=indigo]dear Maths generals, pls help me with this little problem.doubleDx, d citizen, rhydex 247, Richiez, benbuks and other maths generals seeing as you guys dey destroy other peoples questions with confim answers, so, you guys know the answers to my questions but una no wan help me sha. Its unfair ooooo **sobs** ![]() nobody wants to help me **sobs even more** ![]() |
dear Maths generals, pls help me with this little problem. [size=14pt]By using the Cartesian-paraboloidal coordinate transformation equations: (x=uv sin φ, y=uv cos φ, z=1/2(u2-v2), show that the 3-dimensional Laplace's equation Fxx+Fyy+Fzz=0 reduces to 1/(u2+v2) (Fuu+Fvv+ 1/u Fu+1/v Fv)+1/(u2v2)Fφφ = 0.[/size] |
^chei, see confession. Guapo dear, are you scared the dude will curse and wish you to be Bartender for life? Don't lie! ![]() |
How's Bale doing? |
beats me, too ![]() |
no. Anything can be in the general section as the name implies, so its okay here. Sweery, you'll make a good career as a journalist, you know? ![]() |
this post looks very informative. Poster, pls don't edit it lemme get my biro and copy it down ![]() |
If you think this Prof wouldn't get up to 1000 votes in the upcoming Anambra guber election. . . .HIT LIKE |
^ let the required point(s) be (a,b). Then, note that the slope of any line making an angle of 45o with the positive x-axis is tan 45^o=1. Then, obtain dy/dx. Substitute x=a and in the equation and equate to 1. Solve to get the value of a. Next, to obtain b, note that the point (a,b) lies on the curve y=f(x). Set b=f(a). Substitute the value of a, to obtain b. Write the coordinate of the point(s) as the pair (a,b). Thats all! |
Richiez: @benbuks and jackpot let me sit back, relax and learn a bit from you both...cheers!*blushes* hi Richiez are you sure it shouldn't be the other way round? Lol. |
^good job benbuks. Final thing to note is that, generally, Log doesn't take negative bases, and as such, we discard the value x=-5. Thus, the only answer is x=4. |
busuyem: Pls house, I'm planning 2 go 4 my MSc. inin case you intend lecturing after the M.Sc, I suggest you do Pure Maths(that's take courses like General Topology, Abstract Algebra, Functional Analysis, Measure Theory). If you are still thinking about lecturing or may wish to work elsewhere after doing your M.Sc, then choose Applied Maths(that's take courses like Advanced Optimization, Numerical Analysis, Operations Research). Note however that list of courses available at M.Sc differs university-wise. |
benbuks: ..av u heard of sophomore's dream?yeah. I doubt it'll ever have application. Well, that thing you gave as f(x)=x^x^x^x^x^. . ., let's take a bit look at it. f(0)=0^0^0^0^. . .which you may argue as undefined since even 0^0=0^(1-1)=0/0 is undefined. What is f(0.1)? f(0.1)=0.1^0.1^0.1^0.1^. . .which remains undefined [compute a few terms, maybe up to 15, monitor ir's behaviour and convince yourself that it is undefined] what is f(2)? f(2)=2^2^2^2^. . . = infinity. f(3)= ? f(3)=3^3^3^3^. . ., which as you already knew, blows up too! Thus, why bother yourself by integrating what doesn't make sense? |
benbuks: ....ok try this dear....integrate (x^x^x^x....to infinity.)dxis this a function? No for example, if f(x)=x^x^x^x. . ., then you'll agree with me that f(x) forall x>1 doesn't exist. By the way, power series representation is only valid for analytic functions. |
honey: forgıve my basıc knowledge of mathematıcs............ the three coeffıcıents could all be 0s or 1s havıng (000) (111), and we could have two 1s wıth a sıngle zero, or two 0s wıth a sıngle one...... two 1s wıth a sıngle zero can arranged ın 3 ways, and two 0s wıth a sıngle 1 can be arranged ın 3 ways gıvıng the arrangementr (000) (111) (110) (101) (011) (100) (001) (010), gıvıng a total of 8 ways, out of these arrangements the quadratıc equatıon wıthout real roots ınclude (x2+x+1) and (x[sup]2[/]+1), meanıng the remaınıng 6 arrangements have real roots...... therefore the probabılıty of havıng a quadratıc wıth real roots becomes 6/8 =3/4but Sir, a, b and c are all real numbers and such they are not limited to integer values. For example, a can be log2=0.301029995. . ., because 0<log2<1. Also Sir, a, b and c lies inbetween the open interval (0,1) which means the set {x: 0<x<1}. Thus, a, b and c can not admit any integer values (in particular, a, b and c cannot take 0 or 1). |
where my fellow Maths generals at? Help me solve this: [color=indigo][size=14pt]let a, b and c be real numbers selected randomly from the interval (0,1). What is the probability that the equation ax^2+bx+c=0 has at least one real solution x?[/size][/color] |
Calculusf(x):Sir, I already did. It wasn't an approximate method since the summation in my answer is still running from 1 to infinity. The fact is that I left my answer(which is very correct) in series form. With my method, there is the temptation to conclude that I can integrate just any function! ![]() |
Boladearo: thats tru, prove it to us queen jackpothow am I doing, Sir? ![]() |
Calculusf(x):Transform "7^sin x" to "e^(sin x ln 7)". Get the Maclaurin series expansion for the exponential function. e^x =\sum\limits_{k=1}^{\infty} \frac{x^k}{k!} Replace "x" with "sin x ln 7" Finally, integrate term by term. Thats all! |
Efemena_xy: Eye popping ke? ![]() |
Idowuogbo: Cemetery been quite long. Hi nigga ![]() |
Boladearo: yes boss. Queen jackpot, welcum to d ause *blushes* hi Bola hi Richiez |
Efe, big sissy, wetin that one come mean na? Na my popsy na im go marry me? Abi I no fine reach make the opposite sex toast me? *flips my hair, and applies little lip gloss, brings out pocket mirror and observes my self, nods and feels good* *adjusts my mini-skirt up just a lil bit* ![]() *peeps at Efe and withdraws almost immediately as I met her eye-popping gaze* ![]() |
honey: take the subtitution ex=v, then the que. bcums §v.15v.dx..........dv/dx= ex, and x= in.v, making dx= dv/v, replacing this in the integral §15v.dv= 15v+1/(v+1), replacing v with the original values of x, we have 15^(ex+1)/(ex+1)I am sorry, but you are sooooooo wrong, Sir. |
benbuks: Integrate.(e^x . 3^e^x . 5^e^x)dx..tnxfirst of all, your question reduces to Integrate e^x.15^e^x dx by making the substitution u=e^x, it further reduces to Integrate 15^u du = (1/ln15) 15^u + c = (1/ln15) 15^e^x + c. The next time you post a simple question, I'll whoop your arsse!!! |
Calculusf(x):Easy. Get the Maclaurin Series Expansion of the exponential function. Replace "x" with "x^2" Integrate term by term. Thats all! In Latex language, the answer is $\int {e^{x^2}~dx}= \sum\limits_{k=0}^\infty \frac{x^{2k+1}}{k! (2k+1)}$ |
Ortarico: Weird! Use Jacobian of the transformation rule and pls don't ask me cause I dunno it either!i dont think it will work here. The integral is 1-dimensional (x alone, no y). Its not as if you are transforming from Cartesian coordinate to cylindrical/spherical coordinate. I hope you get my drift. |
^you shouldnt have done that. You dont need to say sorry. Why person go believe your "sorryness". You be 5 year old? Dont tell me you are ignorant of the consequences of your action! SMH! |
jhydebaba: This bar is freaking dry joor.drives closer to him with my Toyota Matrix and jams him inside gutter |
bright007:hi, my fellow sister. Hoowdy? |
Ellatyra: "WoMEN" has "men"in it too...so?Er. . .why not Womenstruation and Womenopause? I don't gerrit ![]() |
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