Recent content by chudzoik

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    Differentiation Rules of Sinusoidal Functions

    Oh wow forgot entirely about that. These kinds of mistakes will be the end of me. :redface: Thanks for the help.
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    Differentiation Rules of Sinusoidal Functions

    It says the answer should be f'(x) = -2sin2x.
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    Differentiation Rules of Sinusoidal Functions

    Homework Statement f(x) = cos2x - sin2xThe Attempt at a Solution f'(x) = (2cosx)(-sinx) - (2sinx)(cosx) f'(x) = -2cosxsinx - 2sinxcosx This is what I think the answer should be, but the back of the book says otherwise. I need help identifying what I did wrong.
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    Finding Third Root & Values of p & q

    Where does c come from and what does "certain c" mean exactly?
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    Finding Third Root & Values of p & q

    Homework Statement Given that 2 is a repeated root of the equation 2x^3 + px^2 + qx -4 = 0, find the third root and the values of p and q. Homework Equations b^2 - 4ac(?) The Attempt at a Solution Since it said 2 is a root I plugged in 2 as the value of x and rearranged the...
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    Collision of Equal Mass Hockey Pucks

    Homework Statement Two hockey pucks of equal mass undergo a collision on a hockey rink. One puck is initially at rest, while the other is moving with a speed of 5.4 m/s. After the collision, the velocities of the picks make angles of 33° and 46° relative to the original velocity of the moving...
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    Acceleration in Two Dimensions of watercraft

    So they are both 0 then? I think that clears up a lot of my confusion with this problem.
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    Acceleration in Two Dimensions of watercraft

    But I don't think I have enough known variables to do that. If I use vfx = vix + ax * t then I don't have ax and I don't have the initial velocity in the y direction either so I can't figure out the final velocity in the y direction.
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    Acceleration in Two Dimensions of watercraft

    Homework Statement A watercraft with an initial velocity of 6.4 m/s [E] undergoes an average acceleration of 2.0 m/s2 [S] for 2.5 s. What is the final velocity of the watercraft?Homework Equations vf = vi + a * t a = v / t v = v2 + (-v1) pythagoras and cosine law? The Attempt at a Solution I...
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    Centripetal acceleration/ motion question

    Is that the formula with 1/2 mv2 and mgh in it? I looked it up and it came up with stuff like Δ(U+K) = 0 and U + K = E which don't look familiar to me at all. I'm in Grade 12 right now, so should I have learned it?
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    Centripetal acceleration/ motion question

    Well I know conservation of momentum, but I don't know how it would apply to my question.
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    Centripetal acceleration/ motion question

    I honestly have no idea what your hint means :-p Can you explain further about what formula I'm supposed to use?
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    Centripetal acceleration/ motion question

    I am trying to calculate the speed of an object at the point that it flys off the half circle ramp, and I was wondering if it would be correct to use the formula v2=v20+2aΔx to calculate the final velocity of the object as it exits the half circle thing.
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    Double Slit Wave Interference Question

    Homework Statement Blue light (λ = 482 nm) is directed through parallel slits separated by 0.15 mm. A fringe pattern appears on a ascreen 2.00 m away. How far from the central axis on either side are the second order dark bands? λ = 4.82 x 10-7 m d = 1.5 x10-4 m L = 2.00 m m = 2 y= ...
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