Recent content by yoyo

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    Solving for X involving Square Roots

    oh i see what you are saying. Silly mistake on me. Thank you so much!
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    Solving for X involving Square Roots

    Hi, I am getting frustrated with trying to solve this equation: sqrt(x+9) - sqrt(x-6) = 3. I know that the answer is x=7 because of guess and check. I don't know how to show it algebraically. Squaring both sides will cancel out the x. Is there a trick or something this? Please help...
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    Rotation Matrix: Finding Two Expressions & Verifying Equivalence

    follow up question: a vector x in R^2 is rotated n times through an angle theta. Find two expressions for the matrix representing this rotation. what identity is implied. if what Ziox said is true then it should be [cos (theta)n, -sin(theta)n; sin (theta)n, cos(theta)n] but i don't see...
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    Rotation Matrix: Finding Two Expressions & Verifying Equivalence

    Homework Statement A vector x in R^2 is rotate twice through an angle theta (it is rotated through theta and again through theta). Find two expressions for the matrix representing this rotation. Verify that these two expressions are equivalent Homework Equations rotation matrix R=[cos...
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    Linear independence and dependence

    Thanks, make sense.
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    Linear independence and dependence

    Hi everyone, having problems with this question, can anyone please help Question: consider a 2 x 2 matrix, can you construct a matrix whose columns are linearly dependent and whose rows are linearly independent? My answer is no. I cannot think of any combination that would make this true...
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    How Do You Find the Impulse Response h(t) for a Differential Equation System?

    can someone show me how to find the impulse response h(t)? questions: Determine the impulse response h(t) for the system characterized by the differential equation y(2)(t) + 2 y(1)(t) + 17 y(t) = x(2)(t) + 5 x(1)(t) + 18 x(t) thanks
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    Expression of AM Cosine Wave using Phasors

    An AM cosine wave is represented by x(t)=12+7*sin(pi*t-(1/3)*pi)]*cos(13*pi*t). Use phasors to show that x(t) can be expressed in form of: A1cos(w1*t+phi1) + A2cos(w2*t+phi2)+A3cos(w3*t+phi3) where w1<w2<w3. I am really stuck with this. don't know where to start. can someone please help me...
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    Solving Equation for M & P - Geometry Explained

    Hi i am trying to solve this problem and i am stuck at finding all possible solutions, can someone please help? Problem: Solve the following equation for M and P. Obtain all possible answers. Use the phasor method, and provide a geometrica diagram to explain the answers...
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    How to Derive the Oscillation Equation for a Conical Float?

    I am trying to derive an equation for the oscillation of a conical float. There is a conical float with a density of delta 2 and its floating on water with density 1. Find the oscillation of the floating conical float. The final solution should be: d^2y/dt^2=-g+(g((L-y)/L)^3)/p where y(t) is...
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    How to Derive the ODE for a Floating Spherical Float?

    I am trying to set up a first order differential equation to express the oscillation of a spherical float floating on water. I know that the two forces acting on the spherical float is force buoyancy and gravity and there is two density (density of water and density of the sphere). So first what...
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    Solve x for Inverse of y=sqrt(x^3+x^2+x+1) - Help Needed

    what is the inverse of of y=sqrt(x^3+x^2+x+1) i know u are suppose to solve for x but having trouble...help please
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    What is the name of the curve where its radial vector ....

    what is the name of the curve where its radial vector drawn from the origin intersects the curves tangent line at a=3pi/4 or 135 degree at every point? can anybody even show me how the curve looks like or what is the general eqaution of this curve? thanks
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    Exploring the Geometric Property of a Planar Curve [gamma]

    Does anyone know how to convert the above equation into polar coordinates ^^^^
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    Exploring the Geometric Property of a Planar Curve [gamma]

    I understand how to plug in and get to this point, but how would i separate the variables in this case? I tried plugging in a lot of different things but keep coming up with an unsolvable differential. i get tan(a) when i do it and when i plug in pi/2 i get undefined. I'm sure I'm doing...
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