Chapter 5 & 6 Review 1. Suppose the rate at which a filter removes sediment from a tank is given by the data below. Use to find an 4N =lower estimate for the amount of sediment removed during the first two hours. . Time (hr) 0 0.5 1 1.5 2 Rate of Sediment Removal (gr/hr) 8.2 7.5 6.0 5.3 3.9 2. Estimate the area of the region bounded by 2()xfxe−=, the x-axis, 0x=, and . Estimate the average value of 0.5x =()fx 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 by 35yx=−, , and . Include a sketch. 0y =4x = 9x =4. 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 below to sketch an ()gx′accurate graph of so that . ()gx (0) 5g = ()gx′-30-20-100102030024681x0 6. Consider ()21sinxtdt∫ . 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
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