Let f (x) = x + 1.
a. Sketch the graph of y = f (x) on the interval [0, 4].
b. Let A(t) denote the area of the region bounded by the x-axis, the y-axis, the curve y = f (x), and the vertical line x = t. Find an expression for A(t) and sketch the graph of y = A(t) on the interval [0, 4].
c. Find an expression d(x) for the distance from the origin to the point (x, f (x)). Use a graphing device to sketch the graph of y = d(x) on the interval [0, 4].
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