MAT 127 Midterm: S16mt1
31 Jan 2019
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Name (please print legibly): no calculators or notes are allowed on this exam, please show all of your work. You may use the backs of pages if necessary. You may not receive full credit for a correct answer if there is insu cient work shown: you do not need to simplify all the way (but please evaluate trig and inverse trig functions when possible). Acceptable answer: (4(22) 2) (4 1). 100: (16 pts) a gorge has the shape of the parabola y = x2, with distances measured in feet. A dam is to be constructed, with water level 100 ft. find the hydrostatic force on the dam. Recall that water weighs 62. 5 lbs/ft3: (16 pts) the region below the graph y = 1 x2 and above the x-axis is rotated around the line x = 1. Find the volume of the resulting solid: (32 pts) integrate: (a) z sin x (cos x)2 dx (b) z 3.
