1. Clear your desk (except for pencil) for the QUIZ

4. What does it mean to find the arc length?

5. The length of a continuous function f(x) on the interval [a,b] is equal to This can also be done with x = f(y) with y-bounds

6. Steps…(and an example) 1. Find the derivative of the function. Find the length of the function Between the points (1,1) and (16,4) on its graph. 2. Square it 3. Add 1 to it 4. Integrate the square root of the result over the correct interval.

7. The length of a curve from x = 1 to x = 4 is given by If the curve contains the point (1, 6), which of the following could be an equation for this curve? (A) y = 3 + 3x 2 (B) y = 5 + x 3 (C) y = 6 + x 3 (D) y = 6 – x 3 (E) y = 16/5 + x + 9x 5 /5

8. Which function is longer on the interval [0,2]:

9. Determine the perimeter of the region bounded by x = 0, y = 2x+3 and y = x 2

11. Use geometry to write a formula for the area of the shape in terms of the variable given.