Calculus Writing Assignment: Fundamental Theorem of Calculus, Part 2 Each portion of a problem is worth 5 points. Total Points: 50 Answer each of the problems. Make sure to show all your work. x Suppose f ( x ) = 6t 2 1 + t 3 dt . 0 1) Evaluate f (2). 2) Evaluate f (2). 3) Evaluate f (2). Find g(x) for each of the following functions. 4) g ( x ) = sin (u 2 ) du 0 x x3 5) g ( x ) = ln u du 1 x Suppose h( x ) = f (t ) dt on the interval [0, 12], where f (t) is shown in the graph below. 0 6) Find the critical points of h(x). 7) Identify the value(s) of x when h(x) has a relative minimum and/or maximum. 8) Find the absolute minimum and maximum values of h(x) on [0, 12]. Suppose y (t ) = 2t 1 1 du . Answer the following. 1+ u 2 9) Determine if y(t) is increasing or decreasing when t = 2. 10) Determine if y(t) has upward or downward concavity when t = 2