I want the solution for number 2

Let K(t) be a measure of knowledge you gain by studying for a
calculus test for t hours. Which do you think is larger, K(8) –
K(7) or K(3) – K(2)? Explain it in terms of the first and second
derivative. Sketch what you think the graph might look like.

Show transcribed image text 3-23 15 Project 2 Name Ah ucailiiRS Math 123 This is due on Tuesday at the beginning of class. 1. Suppose f'and "are continuous on (, lacaruutty-2 (2pt) a)Ifra)-oandrt2)–5what canyou say about fat 2? b) Ie(5) – Oand f's what can you say about fat 5 fiechen po 2. Let K(O be a Let Kco be a measure of knowledge you gain by studying for a calculus test for / hours. Which do you think is rger, K(8)- (7) or K(3)-K(2)? Explain it in terms of the first and second derivative. Sketch what you think the graph might look like. (2pt) 3. For a certain function D: (,is a critical number. The second derivative is given. (4 pt) a) Use the Second Derivative Test to determine if the function has a local max or min at y. b) Find the x-coordinate of the possible inflection point. Use a number line and test points to determine the intervals of concavity. LPFC) 4. A physical fitness room consists of a rectangle with a semicircle on cach end. A 200-meter running track runs around the outside of the room. Find the dimensions to maximize the area of the rectangular region.