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    Drawing with trigonometric function

    Yeah, translating the axes by defining a new set of axes such as x' and y', then rotating it via trigonometric function but I was struggling big time about that. Any suggestions?
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    Drawing with trigonometric function

    No it can be in terms of X too. How should I modelize the lines which goes at 45 degree angle?
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    Drawing with trigonometric function

    Homework Statement Come up with a set of equations to draw the following picture: http://img197.imageshack.us/img197/7428/equation.jpg [Broken] Homework Equations The Attempt at a Solution The circle is easy. 1000 = sqrt(x^2+y^2) I can just model the equation with sines. So y_1 = 300...
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    Really Simple Logarithmic Question

    Homework Statement 1. f(n) = log(n) ^ (log(n)). Simplify for Big-O notation. The Attempt at a Solution 1. I'm just trying to prove a big-O notation for one of my courses, and this was simplified to f(n) = n^log(log(n)) And I'm having a hard time seeing why. Any guidance would be...
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    Arithmetic Sequence Problem

    Uh so anyone got an idea about second problem?
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    Arithmetic Sequence Problem

    I understand how you simplified the equation.. but where did you get the idea of plugging 9,19,29 for n? nvm i see it now. TY.
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    Arithmetic Sequence Problem

    What.. is latex tag broken..?
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    Arithmetic Sequence Problem

    Homework Statement Problem 1: Two Arithmetic Sequences are given. a_n = 200,196,192,188,184.... [ltaex]b_n = 100,103,106,109,112....[/itex] For integers l,m, find the number of pairs consisting of (l,m) which satifies condition a_l = b_m Problem 2: Three terms, sin(x)...
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    Arc Tangent Squared

    so [arctan(3)]^2 = arctan(3) * arctan(3) ?
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    Arc Tangent Squared

    Homework Statement tan(2x) - 3 cot (2x) = 0 Homework Equations Trigonometry Knowledge. The Attempt at a Solution tan(2x) - 3cot(2x) = 0 tan(2x) - 3/tan(2x) = 0 [tan(2x)]^2 - 3 = 0 [tan(2x)]^2 = 3 Is there such thing as Arc Tangent thats squared??
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    Sequence Question

    U( r ) = r(r+1)(r+2)(r+3), show that U (r + 1) - U ( r ) = 4(r+1)(r+2)(r+3) U(r+1) is = (r+1)(r+2)(r+3)(r+4) so U(r+1) - U( r ) = (r+1)(r+2)(r+3)(r+4) - r(r+1)(r+2)(r+3) let (r+1)(r+2)(r+3) = z = z((r+4)-r) = 4z = 4(r+1)(r+2)(r+3) Then if we say V(r) = U(r+1) - U( r ) V(r) + V(r + 1) =...
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    Sequence Question

    Homework Statement U( r ) = r(r+1)(r+2)(r+3), show that U (r + 1) - U ( r ) = 4(r+1)(r+2)(r+3) Hence, find the sum to n terms of the series 2x3x4 + 3x4x5 + 4x5x6 +..... Homework Equations Sequence Knowledge.. The Attempt at a Solution I can't even TOUCH on the problem. Can you...
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    Proportionality Question

    Homework Statement If P is proportional to q^2 and q is inversely proportional to r Show that p is proportional to r^2 Homework Equations p = kq^2 q = c/r where k and c are proportional constants The Attempt at a Solution I'd say this is impossible. This is all the...
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    Finding sector area

    I thank you for your reply, but that is exactly what I was trying to avoid. This problem was shown on 6th grade exam paper, and should not require any trigonometry to solve this. Are you absolutely certain that is the only way to go about this problem?
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    Finding sector area

    Homework Statement http://img16.imageshack.us/img16/9616/area.jpg [Broken] The Attempt at a Solution Area of square = 25cm^2 therefore Area of the shaded area = 25 - (Area of A + Area of B + Area of C) Area of A = Area of C Therefore, Area of the shaded area = 25 - (2 * Area of...
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    Symmetricity of exponential graphs

    I asked my professor and he told me that g(x) = f(4 - x), f(x) = g(4 - x), since x is symmetric to 2 Now I'm even more confused.
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    Symmetricity of exponential graphs

    Something is wrong, the answer is supposed to be a+b = 1 though
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    Symmetricity of exponential graphs

    Well, here's the whole problem: The two exponential functions f(x)=a^{bx-1} g(x)=a^{1-bx} Satisfy the following conditions a)Functions y = f(x) and y=g(x) are symmetric to the line x = 2 when graphed b)f(4) + g(4) = \frac {5}{2} Find a and b.
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    Symmetricity of exponential graphs

    Homework Statement Suppose two exponential functions, f(x) and g(x) are symmetric with respect to x = 2. f(x)=a^{bx-1} g(x)=a^{1-bx} Prove f(2) = g(2) Homework Equations The Attempt at a Solution This isn't actually a problem. This is a property used to solve a different...
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    Finding the unknowns of irrational equation

    You are a freaking GENIUS! Thanks a lot!!!
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    Finding the unknowns of irrational equation

    Unfortunately, it actually is an exam question (Supposedly solvable). This was a question from Korean National Standarized Test. From what I heard, there's a real simpler way of doing this, but I just cannot figure out what it is. http://img385.imageshack.us/img385/5272/12qu6.jpg [Broken]
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    Finding the unknowns of irrational equation

    Homework Statement For the following irrational equation x^2 + 7x + 10 + \sqrt{x^2 + 7x + 12} = 0 Find all possible unknown of X. Homework Equations None. Just your ability to solve equations. The Attempt at a Solution First of all, I am not allowed to use a calculator to...
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    Is it me being retarded or did ETS screw up again?

    It must be the Kegs and those shots of Jack Daniels I had yesterday.. Thanks
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    Is it me being retarded or did ETS screw up again?

    Homework Statement K this is a question from GRE Testbook. At Blinky Burgers restaurant, two hamburgers and five orders of French fries cost the same as four hamburgers and two orders of French fries. If the restaurant charges $1.50 for a single order of French fries, how much does it...
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