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hw problems 3.6

# hw problems 3.6 - C 1 L N MATH 140 MATH 140 Introduction...

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MATH 140 C  1 L  N 

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MATH 140 Introduction Calculus We mention a few distinctions between successful calculus students and unsuccessful calculus students. Write Accurate, Meaningful Statements Memorize the Unit Circle First Master the Algebra Know the Basic Graphs and Transformations Complete Homework Get Help Early Ask Questions in Class Write Accurate, Meaningful Statements 1. Simplify x 2 - x x 2 - 1 2. Solve 7 x + 3 = 17 Memorize the Unit Circle Almost every trig problem will depend on us knowing the unit circle by heart. It is absolutely worth the e ff ort to memorize it and understand where each piece comes from. Practice it when you wake up in the morning. Call your mom and tell her about it. Practice the statement with your significant other. Go over the picture instead of counting sheep at night. First Master the Algebra The hardest part of calculus is just the algebra. Most of the ideas from calculus are easy, but implementing those ideas requires accurate algebriac manipulation of algebraic expressions. If you can’t do the algebra then you will likely have a miserable semester. Your happiness may depend on your algebra skills. Know the Basic Graphs and Transfor- mations y = x y = x 2 / 3 y = x y = x 2 y = x 3 y = 3 x y = sin x y = cos x y = e x Page 1 of 2
MATH 140 Introduction Calculus Complete Homework Homework must be completed on time. The material builds on the previous sections, so if you fall behind you will have di ffi culty learning the new material. Make sure that the homework is done neatly and correctly. It won’t be possible to grade all the homework, so you will want to check all of your answers in the back of the book or using the online solutions manual. Get Help Early There are lots of good resources for help. Free mathematics tutoring is available at the Math Center located in 220 Boucke Building. If you need extra help, a (paid) tutors list maintained by the Mathematics Department Undergraduate O ffi ce is available on-line at http://www.math.psu. edu/ug/PrivateTutorList.htm . There are o ffi ce hours scheduled, or you can arrange to meet me by appointment. Ask Questions in Class There are no stupid questions. Often things will seem easy when done on the board, but they will seem more di ffi cult at home. Come to class with questions prepared. A thorough understanding of trigonometry is essential to succeed in calculus. Page 2 of 2

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MATH 140 Section 2.1 The Tangent and Velocity Problems Calculus Tangent Vectors Velocity Problems Tangent Vectors 1. Estimate the slope of the tangent line to the curve f ( x ) = 2 sin x 2 at the point ( π 2 , 2). 1 2 π 2 π f ( x ) = 2 sin x 2 2. The following graphic shows 5 students and their grades posted compared to the number of cookies that they made for me. Estimate the G.P.A. of a student who makes me 17 cookies.
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