Answer is given below (on video)
A particle moves along a line with velocity function v(t)=t^2-t, where v is measured in meters per second. Find (a) the displacement and (b) the distance traveled by the particle during the time interval [0,5].
The graph of g consists of two straight lines and a semicircle. Use it to eveluate the integral.
Proving the double differential of implies
implies z is of the form . Is there a proof for the same. I was trying to arrive at the desired function but couldn't understand how to get these trigonometric functions in the equations by integration. Does it require the use of taylor polynomial expansion of ?