MATH 1151 Study Guide - Midterm Guide: Electrical Contacts, Ellipse, Implicit Function
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MATH 1151 Full Course Notes
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Show all work in problems 1, 3, 4, and 5 . Include units in your answer where that is appropriate. Incorrect answers with work shown may receive partial credit, but unsubstantiated correct answers may receive no credit. You don" t have to show work in problem 2. Give exact answers unless asked to do otherwise. You do not need to simplify numerical answers such as. The exam consists of 5 problems starting on page 2 and ending on page 8. Pda" s , laptops, and cell phones are prohibited. Make sure your exam is not missing any pages before you start. 1. (30 pts) (i) calculate the derivatives of the following functions. No need to simlify! y = (a)(8 pts) x tan- 1(x5) (b)(8 pts) y = xsin x. Form a, page 3 (ii)(14 pts) the curve with equation x2+xy+y2= 4 (a) use implicit differentiation to find the derivative dy is a "rotated ellipse".