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HW13 - h 1 x(c#58 you need to use FTC II and your knowledge...

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Calculus 1A: Homework Assignments. Notes and Hints. Revised 1/19/09 Spring 2009, TT 3:30pm - 5:00pm, Room 105 Stanley Hall Instructor: Professor Zvezdelina Stankova HW13. Read § 5.3-5.4. Solve and Write Problems: (1) § 5.3: #4,6,8,10,18,24,26,28,32,40,42,44,52,58*,66,72,76*. (a) #24,28,40: use the old trick of writing the function as a power of x : x a where a could be a fraction, even a negative fraction. In #40-42: if it is difficult for you to find the antiderivative of the whole function, split the integral into a sum of two integrals of simpler functions. (b) #18: use the ”generalized” FTC from lecture (e.g., using upper function h 2 ( x ) and lower function
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Unformatted text preview: h 1 ( x ) ). (c) #58: you need to use FTC II and your knowledge of what it means for a function to be concave upward. (d) #66: recognize this Riemann sum as the integral of some function (which function, and on what interval?), then use FTC to calculate this integral. Compare with #65. (2) § 5.4: #2,4,26,30,34,42,44,52,54,58,62. (a) #26-42: perform some algebraic manipulation first to get the function into a more suitable form for integration, and then integrate (i.e., find an antiderivative). (b) #52-62: you have to set up an integral, and then, if the problem is asking, to evaluate this integral. 1...
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