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HW4 - Calculus 1A Homework Assignments Notes and Hints...

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Calculus 1A: Homework Assignments. Notes and Hints. Revised 2/09/09 Spring 2009, TT 3:30pm - 5:00pm, Room 105 Stanley Hall Instructor: Professor Zvezdelina Stankova HW4. Read § 2.8, § 3.1-3.2, skim § 3.3. Solve and Write Problems: (1) § 2.8: #2,3,4,7,8,9,11,30(a)-(c),32(a),36,50; Review for Chapter 2: #36,46(a)-(c). (a) #3: don’t forget to give some reason for your answers, e.g., a ”sharp corner” indicates no derivative there; or the slopes of the tangents approach 0 as x → ∞ , etc.; one good reason is sufficient per graph. (b) #4,7,8,9,11: it is best to use different color pens for the original function, for the tangent lines that you will be using, and for the derivative function; first look for any horizontal tangents - these will indicate the zeros of your derivative function; then between every two such tangents draw a few test tangents to see what their slopes are and plot the corresponding points on the graph of the derivative; look also for possible places where the derivative is not defined; if you have trouble with
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