(a) Using a computer or calculator, graph f(x)=2x. (b) Find the slope of the line

Chapter 4, Problem 69

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(a) Using a computer or calculator, graph f(x)=2x. (b) Find the slope of the line tangent to f at x = 0 to an accuracy of two decimals. [Hint: Zoom in on the graph until it is indistinguishable from a line and estimate the slope using two points on the graph.] (c) Find the slope of the line tangent to g(x)=3x at x = 0 to an accuracy of two decimals. (d) Find b (to two decimals) such that the line tangent to the function h(x) = bx at x = 0 has slope 1.

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