Chapter 5 & 6 Review 1. Suppose the rate at which a filter removes sediment from a tank is given by the data below. Use4N =to find an lower estimate for the amount of sediment removed during the first two hours. . 2. Estimate the area of the region bounded by 2( )xf x e, the x-axis, 0x , and 0.5x . Estimate theaverage value of ( )f x over the interval [0, 0.5]. Include an illustration of these two quantities. 3. Use the Fundamental Theorem of Calculus to find the exact value of the area bounded by3 5y x , 0y ,4x and 9x . Include a sketch. Time (hr) 0 0.5 1 1.5 2Rate of SedimentRemoval (gr/hr)8.2 7.5 6.0 5.3 3.94. A car, initially moving at 88 ft/sec, has a constant deceleration and stops in a distance of 200 feet. Determine the car’s deceleration in feet/sec2 . Include a sketch of the velocity graph. 5. Use the graph of ( )g x� below to sketch an accurate graph of ( )g xso that (0) 5g . 6. Consider 21sinxt dt .A. Is this a function of x or t?B. What does this function represent? Be specific.C. Give a point on the graph of this function. x( )g
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