Suppose f(x) = 1 4x2 + 3x + 4. a Find f0 (x) in simplest form. b i Find the equation of
Chapter 25, Problem 41(choose chapter or problem)
Suppose f(x) = 1 4x2 + 3x + 4. a Find f0 (x) in simplest form. b i Find the equation of the normal to y = f(x) at the point (2, 9). ii Find the coordinates of the point where this normal meets y = f(x) again. c The graph of y = f(x) is shown alongside. i Write down an expression for the area of the shaded region R. ii Calculate the exact area of R. iii Suppose the region R is revolved about the x-axis through one revolution. Find an expression for the volume of the solid formed.
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