Question: Please explain step by step how to solve this question. 28. Define A(x) to be the area bounded by the t- and y-axes, the line

Please explain step by step how to solve this question.

28. Define A(x) to be the area bounded by the t- and y-axes, the line y = 5 and a vertical line at t = x (see figure below). (a) Evaluate A(0), A(1), A(2) and A(3). (b) Find a formula for A(x) valid for x 2 0. (c) Determine A'(x). (d) What does A' (x) represent? y = 5 1 5 K A(X) -- X

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