For the function f(x) ax 3 bx 2 5x 9, determine the values of a and b so that f( 1) 12 and f '( 1) 3 Determine the equations of two lines that pass through the point ( 4, 5) and are tangent to the graph of y x 2 1 Two particles have positions at time t given by s1 4t t 2 and s2 5t 2 t 3 When the ac...

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

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For the function f(x)=ax^3 +bx^2-5x +9, determine the values of a and b so that f(-1)=12 and f'(-1)=3
Determine the equations of two lines that pass through the point (-4,-5) and are tangent to the graph of y=x^2 +1
Two particles have positions at time t given by s1=4t-t^2 and s2=5t^2-t^3. When the acceleration of the two particles are equal, find the positions and velocities of both particles.