Question

1. TANGENT AND VELOCITY 1) A bottle is leaking water. The table below gives the amount of water left (V in cc) in the bottle after t minutes. tmin.0 5 10 15 20 25 30 V cc. 1000 966 834 659 362 (a) Let P (10,834) be a point on the curve of V. Find the slopes of the secant lines PQ when is the point on the graph with t 0,5, 15,20, 25, and 30. 532 (b) Estimate the slope of the tangent to the curve of V at point P by taking average of two nearby secants. (e) The slope at P represents the rate at which water is leaking out of the bottle at time t - 10 min. Can you suggest how one would find this slope?

Answer 1

ittm &31-300 5

タ34-5 32 10-20 25.33 -15 83u 361 -20 OMM 2 2. 2 hne

1000 800 600 | 400H 200 200 0