Solution: The point lies on the curve . (a) If is the point , use your calculator to
Chapter 2, Problem 4(choose chapter or problem)
The point lies on the curve . (a) If is the point , use your calculator to find the slope of the secant line (correct to six decimal places) for the following values of : (i) 0 (ii) 0.4 (iii) 0.49 (iv) 0.499 (v) 1 (vi) 0.6 (vii) 0.51 (viii) 0.501 (b) Using the results of part (a), guess the value of the slope of the tangent line to the curve at . P0.5, 0 x PQ Q x, cos x P0.5, 0 y cos x P2, 1 P2, 1 x PQ Q x, 11 x P2, 1 y 11 x t 5 15, 250 (c) Using the slope from part (b), find an equation of the tangent line to the curve at . (d) Sketch the curve, two of the secant lines, and the tangent line. 5. If a ball is thrown into
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