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7. (Lesson 1.4) Express the net area of the shaded region in Figure 2 below with a definite integral. Then use the Fundamental Theorem to evaluate it Fieure 2. Figure 3 (Lesson 1.4) Find the equation of the line in Figure 3 above and express the net area of the shaded region with a definite integral. Then use geometry to compute it 8. 9. (Lesson 1.5) (a) If an object travels along a line with constant velocity -22 m/s, then the general formula for the position of the object is s (b) If the object has initial position 253 m, then we can find the unknown constant C. In this case, the position function is s= (c) Using the position function, we find that the object is at the origin at time (d) The net change in the object's position (i.e., displacement) from time 8.25 s to time 3.75 s is (e) The total distance traveled over the same time period is (Note: Your answers should not contain an absolute value.) 10. (Lesson 1.5) Suppose ) 2-3t is the velocity (in meters per minute) of an object in rectilinear motion. (a) Sketch the graph of v on the interval [0, 2]. b) The t-intercept of v) is the time at which the velocity is zero. In this case, the t-intercept is 1= (c) Use the graph of vt)-2-3t and geometry to find the displacement on [0,2]. (d) Use the graph of vo 12-3and geometry to find the total distance traveled by the -- object on [0, 2]

Answer 1

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个 心1-S Stope of tuw une ne Asea bounded by iney and -axis dehinite inteaj ri.s I.S o.S I. S o S

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