Question: b1 b2 b3 g y = ax X2 *3 (What is log y?) (h) 10gb b- 1ogb (1/x) log, [b(loga a2) ]Q8 (7 points) Find

 b1 b2 b3 g y = ax X2 *3 (What islog y?) (h) 10gb b- 1ogb (1/x) log, [b(loga a2) ]Q8 (7points) Find the convex combinations of the pair of points (-1, 3,0, 4) and (1, 4, -3, -1)Q9 (6 points) Omit graphing in

your answer: By using the points x' = 2, x" = 6,and ) = 1/2, illustrate definition 2.2 for the concave function y= 10 - x2. Use a graph to demonstrate this. Definition 2.25The function f is concave if f (x) > >f (x)+ (1-x)f(x")

b1 b2 b3 g y = ax X2 *3 (What is log y?) (h) 10gb b- 1ogb (1/x) log, [b(loga a2) ]Q8 (7 points) Find the convex combinations of the pair of points (-1, 3, 0, 4) and (1, 4, -3, -1)Q9 (6 points) Omit graphing in your answer: By using the points x' = 2, x" = 6, and ) = 1/2, illustrate definition 2.2 for the concave function y = 10 - x2. Use a graph to demonstrate this. Definition 2.25 The function f is concave if f (x) > >f (x)+ (1-x)f(x") where & = Ax' + (1 - A)x" and A e [0, 1]. It is strictly concave if the strict inequality holds when A E (0, 1).Q10 (6 points) Graph two level curves of the following function of two variables: f (x, y) = 4(x - 2)2 + 7 (y + 4)2 Carefully label the coordinates of the centre, give general shapes of the level curves and write their equations

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