Recent content by pugfug90

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    If 3f(x)+f(3-x)=x squared, what's f(x)?

    3f(3-x)+f(x)=(x squared)+9-6x get rid of f(3-x) (isolate it from one equation and plug in the other one) and you can isolate f(x) now. === If I want to isolate f(x).. it'd be f(x)=xsquared+9-6x-3f(3-x), right?
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    Dice with weighted sides, looking for odds of a sum:faster way

    Just wondering if there was an equational way?
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    If 3f(x)+f(3-x)=x squared, what's f(x)?

    Oops haha So 3f(3-x)+f(x)=(x squared)+9-6x. So can you tell me where to go from here? I tried substituting y into x again, get (x squared - 6x)/-2, while the real answer is something like x/3+x/5-3 or something. Also, where did the 'plug 3-x for x everywhere' thing came from? And if this is a...
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    Dice with weighted sides, looking for odds of a sum:faster way

    Incidentally, why bother breaking the problem into "first roll" and "second roll"? Why not just consider each possible pair of rolls as outcomes? You mean 5/8 * 5/8? That wouldn't equal 7/64. My chart works out to 7/64, but I want to find a less meticulous way.
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    If 3f(x)+f(3-x)=x squared, what's f(x)?

    3f(3-x)+f(x)=3-x is what I get if I plug in 3-x where x is...
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    Dice with weighted sides, looking for odds of a sum:faster way

    Dice with weighted sides, looking for odds of a sum:faster way please Homework Statement 6 side die is weighted so prob of rolling 2,3,4,5,6 is same and rolling 1 is 3x rolling a 2. If die is thrown twice, what's odds of getting a sum of 4? Homework Equations The Attempt at a Solution...
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    If 3f(x)+f(3-x)=x squared, what's f(x)?

    Homework Statement Homework Equations The Attempt at a Solution I first tried replacing "x" when in parenthese with y. Therefor, 3y+3-y=x, yadda yadda, 2y=x-3, y=(x-3)/2, however, the real answer turned out to be some weird fractional thing. Please give me some kind of direction.. EDIT...
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    How does that relate to the length of the wire?

    ee Teacher gave some hints and I got it now. If I were to imagine this problem, but with 1 instead of 8 wraps, it'd be a line, from one end of, say, a paper, to another end. 1------1 1 1 1------1 The horizontal part of the folded out tube, or paper, is the circumference, 8cm. I need to...
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    How does that relate to the length of the wire?

    Not sure what you mean... This is my interpretation of what you just said and I get a mere ~28.
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    How does that relate to the length of the wire?

    Homework Statement Given a pipe with 8cm circumference and length 20cm that is 8 turns of wire wrapped around a pipe, what's the length of the wire? Homework Equations circumference=2(pi)r=diameter*pi (I think) The Attempt at a Solution This is pic with problem. My...
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    Reducing Factorials: Is the Answer 1/[2n*2n+1]?

    Homework Statement (2n-1)!/(2n+1)! Homework Equations The Attempt at a Solution ...2n-2*2n-1 ------------ (pretend that's a divider) ...2n-2*2n-1*2n*2n+1 Is the answer 1/[2n*2n+1]?
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    Solving Trigonometric Equations

    I can factor out cosx? (sorry, this is midterm, and this stuff is what we did in January:p) 2cos(squared)x+3cosx=0 cosx(2cosx+3)=0 cosx=0 and cosx=-3/2 I can figure cosx=0 to be x=pi/2 and 3pi/2 but can anyone remind me why cosx=-3/2 doesn't work (invalid in calc)? --- I think because adj/hyp...
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    Solving Trigonometric Equations

    Homework Statement use the inverse functions where necessary to find all solution of the equation in the interval [0,2pi). Use a graphing utility to verify. 2cos(squared)x+3cosx=0 Homework Equations The Attempt at a Solution The answer is pi/2 and 3pi/2 from my teacher.. ===...
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    PF Member Photo Thread Archive

    I uploaded it so that I can get feedback from my teacher on whether it's inflated or fast enough:)
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