Recent content by danny_manny

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    Vector Calculus: Find Position & Velocity Vectors

    That's the part I'm stuck at do i set the lhs equal to zero?
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    Vector Calculus: Find Position & Velocity Vectors

    v(0) = -sin(0)i +cos(0)t + c = 0i+1j+c
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    Vector Calculus: Find Position & Velocity Vectors

    so the answer must be (1-sin(t))i+(cos(t)+1)j ? in the book however the answer is given (1-sin(t))i+(cos(t)-1)j I don't know where I'm going wrong. Thanks again.
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    Vector Calculus: Find Position & Velocity Vectors

    so the vector constant should be equal to i no?
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    Vector Calculus: Find Position & Velocity Vectors

    Homework Statement Use the given information to find the position and velocity vectors of the particle. a(t) = −cos t i − sin t j; v(0) = i; r(0) = j Homework Equations The Attempt at a Solution Ok first step integrate a(t). which i get to be -sin(t)i +cos(t)j + c now...
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    Trouble understanding how to choose a free variable (linear algebra)

    Homework Statement I just don't understand how one chooses a free variable when using Gaussian elimination and back substitution to solve linear equations Homework Equations The Attempt at a Solution One particular example here is provided (already in row echelon form) -2...
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    Product Rule for Scalar Product: Verifying the Functions

    So the answer is, cos(t)-tsin(t)-2tsin(t)-t^(2)cos(t)
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    Product Rule for Scalar Product: Verifying the Functions

    cos(t)-tsin(t)-2tsin(t)-t^(2)cost(t)-t
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