ARC LENGHTS AND SURFASE ARE OF REVOLUTION COMPILATION OF ACTIVITIES NO. 7 (INTCAL1) Note: Work collaboratively with your guild mates but submit individually because of the e- portfolio. Submit this either in PDF or MS Word file format. DIRECTIONS: Solve the following problems thoroughly. Show your solutions. Problems: 1. Find the total length of the arc of the function 6xy = x^4 + 3, x=1 to 2. 2. Find the length of the arc of the parametric function x = In/1+t y= arctan (t) from t=0 to t=1. 3. Find the total area of the surface generated when the arc of y=In x from x-1 to 7 is revolved about the y-axis. Graph the figure. 4. Derive the formula for the the surface area of a TORUS. Graph and show complete solution. GUIO

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