Dy/dx = x y, on the region 3 ≤ x ≤ 6, and 6 ≤ y ≤ 3 Don't cheat!PROBLEM 1 Find the length of the graph for $ y = 3x2 $ on the closed interval $ 1 \le x \le 2 $ Click HERE to see a detailed solution to problem 1 PROBLEM 2 Find the length of the graph for $ y = x^{3/2} $ on the closed interval $ 0 \le x \le 4 $ Click HERE to see a detailed solution to problem 2To see this consider the example of the function y = x4 A graph of this function is shown in Figure 3 There is clearly a minimum point when x = 0 But dy dx = 4x3 and this is clearly zero when x = 0 Differentiating again d2y dx2 = 12x2 which is also zero when x = 0 O Figure 3 The function y = x4 has a minimum at the origin where x = 0
Consider The Autonomous First Order Differential Equation Math Dy Dx Y Y 3 Math And The Initial Condition Math Y 0 Y 0 Math By Hand Sketch The Graph Of A Typical Solution Math Y X Math When Math Y 0 Math Has The
