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19. Let f be the function defined by f(x) = x -6x +7x+3. The tangent line to the graph at x = 4 is used

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19. Let f be the function defined by f(x) = x -6x +7x+3. The tangent line to the graph at x = 4 is used to approximate / (4.2) . What is the error in this approximation? A. 0 B. 0.008 C. 0.248 D. 0.400 E. 0.64821. For time : 2 0, let r() =120(1-e") represent the velocity, in miles per hour, at which a car travels along a straight road. How many kilometers does the car travel during the first two hours? A. 120 kilometers B. 2.0392 kilometers C.10.794 kilometers D. 206.3701 kilometers E. 326.370 kilometers 6 22. In the above problem at what time t will the car reach a velocity of 80 kilometers per hour? A. 1 =0.0337 hours B. t = 0.5251hours C. t = 0.3314 hours D. 1 = 0.5091 hours E. t = 0.8765 hours24. Let f be the function dened by [(1): be". what is the range of j? A. (00. 0.363) B. (-m, 0.363) C. if 41363. no) 0- (we. no) E. (0.5 no) 25. A particle moves along the x-axis with velocity at time t 2: 0 given by v[r) = l + e"' . Find all values of t at which the particle changes direction. A. The particle never changes direction. B. The particle changes direction at 1: (land r =1. C. The particle changes direction at 121 only. D. The particle changes direction at r = 2.341 only. E. The particle changes direction at r = 3.948 only. 23. Let R be the region bounded by the xaxis. the graph of y :4? , and the line x = 4. Find the value of 1': such that the vertical line 1 = hdlvides R into 2 regions of equal area. A. 3:25.333 B. P122520 C. h=2.?65 D. .5: =3.000 26. For what value of c on the interval 0

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