Question: (a) Find the positive number(s) a such that the normal to the graph of f(x) = sin(ar) at the point where r = 0 passes

(a) Find the positive number(s) a such that the normal to the graph of f(x) = sin(ar) at the point where r = 0 passes through the point (-6, 2). (8 MARKS) (b) Consider the function g(r) = er-b' + In(bx), where b is a positive number. Determine the value(s) of b for which the slope of the tangent to the graph of g(x) at the point where r = b is 3. (6 MARKS)

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