HILLGROVE
Notes: Arc Length Rectangular & Parametric P, P, & V Day 5Rectangular: Arc Length over a,b: Arc Length=ab1+f'(x)2dx -24765015494000Example One: Using your calculator determine the arc length of y=x2 from 0,1.Example Two: Calculate by hand the arc length of the graph of fx=2x-4 over 1,3.Example Three: Determine the length of fx=ln?(secx) between 0≤x≤π4. (By Hand)Example Four: Determine the length of the curve of y=23x-132 on 1,4. By hand.Parametric: Arc Length over a,b=abx'(t)2+y'(t)2 dtFind the arc length over the given interval:Example Five: Ct=4t-3,-3t+10≤t≤5Example Six: Ct=52t2,4t3-20≤t≤2Remember: These are on Notecards sin2x+cos2x=1sin2x=2sinxcosxtan2x+1=sec2xcos2x=cos2x-sin2x1+cot2x=csc2x =2cos2x-1 =1-2sin2xExample Seven: Ct=sin?(5t),cos?(5t)0≤t≤π ................
................
In order to avoid copyright disputes, this page is only a partial summary.
To fulfill the demand for quickly locating and searching documents.
It is intelligent file search solution for home and business.