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Calculus-derivatives

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Explain how to do these questions~

1. An object moves in a straight line with its position at time t seconds given by s(t) = 3-2t+t^2, where s is the measured in metres. At what time is the object not moving?

2. Determine the coordinates of the point(s) on the graph of y=3x- 1/x at which the slope of the tangent is 7.

  • Calculus-derivatives - ,

    s=3-2t+t^2
    ds/dt=-2+2t

    when it is not moving, ds/dt =0, solve for t.

    y=(3x-1)/x= 3-1/x

    dy/dx=+1/x^2

    if slope is 7, then
    7=1/x^2
    x^2=1/7
    x= sqrt(1/7)
    y=(3x-1)/x solve for y.

  • Calculus-derivatives - ,

    For number one we find the derivative of 3-2t+t^2

    wouldn't that be t-2?

  • Calculus-derivatives - ,

    Oh crap nvm!

  • Calculus-derivatives - ,

    So for number 1 the answer is t=1

    -2+2t=0
    2t=2

    2/2=1

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