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For the Function f(x)=ax^3 +bx^2 - 5x + 9 , determine the value of a and b so that f (-1) = 12 and f'

  1. For the Function f(x)=ax^3 +bx^2 - 5x + 9 ,determine the value of a and b so that f (-1) = 12 and f' (-1) = 3.
  2. Two particles have positions at time t given by s1=4t - t2 and s2= 5t2-t3. Find the velocities v1 and v2 at the instant the accelerations of the two particles are equal.

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