Janu11:43 L24-ch03 Sheet number 1 Page number 75 blackġ. (a) decreasing (slope of tangent line decreases with increasing time) (b) increasing (slope of tangent line increases with increasing time) (c) increasing (slope of tangent line increases with increasing time) (d) decreasing (slope of tangent line decreases with increasing time) It is a straight line with slope equal to the velocity. (d) The particle is slowing down because the slope decreases as t increases from t 1 to t 2. (c) The particle is speeding up because the slope increases as t increases from t 0 to t 1. (b) The initial velocity is 0 because the slope of a horizontal line is 0. From the figure: t s t 0 t 1 t 2 (a) The particle is moving faster at time t 0 because the slope of the tangent to the curve at t 0 is greater than that at t 2. 5 cm/s (slope of estimated tangent line to curve at t = 3) 5.
Janu11:43 L24-ch03 Sheet number 1 Page number 75 black 75 CHAPTER 3 The Derivative EXERCISE SET 3.1 1.
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