A graphing calculator is recommended. Sketch the region enclosed by the given curves. 4x2 y = 1+ x 4x y = 1+ y y 4 4| 3 2 2 1 -0.5 0.5 1.0 -0.5 0.5 1.0 -1F y y 4 4- 3 2 1 1 1 2 3 4 –0.5 0.5 1.0 Find its area.

Just True or False?

can you complete the follow up question i posted

Consider the family of functions of the form y = x lnx-x+ (Ink)x, where x>0 and k is a positive constant. Each function in this family has a stationary point at A, as shown in Figure 7. k (b) Complete the table below by finding the y-coordinates of A for y=xlnx-x+(Ink) x where k = 1, 2, 3, and 4. 1 2 3 4 A Figure 7 Function x ln x - x x ln x-x+(In 2)x x lnx-x+ (In 3) x x lnx-x+ (In 4)x y-coordinate of A (c) Hence, make a conjecture for the y-coordinate of A, for any value of k.