A particle is moving in a straight line according to the linear position function s(t)=t^3−9t^2+ 24t, where "s" is measured in feet and "t" is measured in seconds. Find the total distance traveled by the particle in the first six seconds (in other words, in the time interval 0≤t≤6).

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Q: y 1-

A: The solution is given below in the next step:

Q: what is the slope of the line tangent to the curve y=4x^2 + 5x +1 at the point (1,10)?

A: Slope of tangent line = dy/dx  to given curve y= 4x2+5x+1