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### day1review

Course: MATH 114, Fall 2008
School: UPenn
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Word Count: 128

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Exercises Review from Math 104 1. Find the area enclosed by the graphs of y = x and y = x2 . 2. The area enclosed by the graphs of y = x and y = x2 is rotated around the x-axis. Find the volume of the resulting solid. 3. Find the derivative of f (x) = sin(ex ) + esin x . ln 3 4. Evaluate the integral: 0 ex dx ex + 1 5. Evaluate the integral: x 5x cos dx 6. Find the arc length of the graph y = ln(sec x)...

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Exercises Review from Math 104 1. Find the area enclosed by the graphs of y = x and y = x2 . 2. The area enclosed by the graphs of y = x and y = x2 is rotated around the x-axis. Find the volume of the resulting solid. 3. Find the derivative of f (x) = sin(ex ) + esin x . ln 3 4. Evaluate the integral: 0 ex dx ex + 1 5. Evaluate the integral: x 5x cos dx 6. Find the arc length of the graph y = ln(sec x) from x = 0 to x = . 4 7. A curve is given by the parametric equations x = e t and y = t ln t2 . Find the equation of the tangent line at the po...

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