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hw1 - SECTION number as well as your TA’s name Otherwise...

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Fall 2010, MAT21B, Written Homework 1 Due: Wednesday, April 7 lecture time in class Name Student ID Section number TA’s name Instructions. You are required to complete and hand in all three problems. One of these three problems will be randomly picked and graded by our TAs. The homework has totally 10 points. If you turned in a ”reasonable (as determined by the TA)” homework showing your hard work, you will automatically get 4 points. The rest 6 points comes from the one problem graded by our TAs. PLEASE clearly write down your NAME, Student ID,
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Unformatted text preview: SECTION number as well as your TA’s name. Otherwise, your homework will be easily got lost due to the size of the class. 1. Find the curve y = f ( x ) in the xy-plane that passes through the point (9 , 4) and whose slope at each point is 3 √ x . 2. Using the sigma notation, express the upper sum and the lower sum of f ( x ) = x 2 9 + 1 obtained by dividing the interval [0 , 3] into n equal subintervals. 3. Solve the initial value problem dy dx = 3 x with the initial value y (0) = 1. 1...
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