Recent content by alchal

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    Solving Separable Differential Equation with Initial Condition

    Thank you!
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    Solving Separable Differential Equation with Initial Condition

    QUESTION: Solve the separable differential equation dy/dx = sqrt(4y+64), Initial Condition: y(4)=9, and find the particular solution satisfying the initial condition. MY ATTEMPT: (dy/dx)^2 = 4y+64 ((dy/dx)^2)-4y = 64 ,/' (((dy/dx)^2)-4y) dx = ,/' 64 dx Is this the right method...
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    Tangent Line at t=0 for Parametric Curve (8sin(5t)-3, 8cos(5t)+3, 3t-4)

    Homework Statement If the parametric equations of a curve C are (x= 8sin(5 t) -3, y=8cos(5 t) + 3, z=3 t -4), what are the parametric equations of the tangent line to this curve at t=0 ? The Attempt at a Solution x(t)=8sin(5t)-3 y(t)=8cos(5t)+3 z(t)=3t-4 x'(t)=40cos(5t)...
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