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# lecture1 - C h,k and ra-dius r Find a relationship between...

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Lecture 1 1 MAC 2233, Spring 2011 Survey of Calculus 1 LECTURER OFFICE OFFICE HOURS PHONE E-MAIL COURSE WEBSITE TEXTBOOK STUDENT GUIDE (SYLLABUS) PREREQUISITES

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Lecture 1 2 EVENING EXAMS FINAL EXAM GRADING FOR MAC 2233 ONLINE QUIZZES ONLINE HOMEWORK LECTURE PARTICIPATION EXAMS FINAL TOTAL GRADE Check your grade at e-Learning, https://lss.at.ufl.edu/
Lecture 1 3 Lecture 1: Appendix 1.1 and 1.2, Precalculus Algebra Precalculus Review Example ex. a) Simplify: ( x + 3) 1 3 - 4( x + 3) - 2 3 x x + 3

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Lecture 1 4 b) Solve for x : ( x + 3) 1 3 - 4( x + 3) - 2 3 x x + 3 = 0
Lecture 1 5 Section 1.3 The Cartesian Coordinate System 6 - ? Given ( x, y ): x : y :

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Lecture 1 6 (A) (5 , - 2) (B) all points with x -coordinate 0 (C) all points with y -coordinate 0 (D) all points with x = - 1 (E) all points 3 units above the x -axis 6 - ?
Lecture 1 7 Distance Formula Find the distance between the given points: 1) 2) Distance between points P 1 ( x 1 , y 1 ) and P 2 ( x 2 , y 2 )

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Lecture 1 8 ex. Find all values of y so that the distance between ( - 1 , 2) and (2 , y ) is 5.
Lecture 1 9 Circles Ex: Consider the circle with center

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Unformatted text preview: C ( h,k ) and ra-dius r . Find a relationship between x and y if P ( x,y ) is any point on the circle. 6-? ± Equation of a Circle with center C ( h,k ) and radius r (Standard Form) Lecture 1 10 Ex: Find the equation of the circle with a) center (-6 , 1) and radius 4 b) center located at the origin and radius r c) center (3 ,-2) and containing the point (-1 , 1) Lecture 1 11 Additional Examples Ex: Find the relationship between x and y if the point ( x , y ) is equidistant from (-3 , 1) and (5 ,-3). Lecture 1 12 Ex: A company wishes to run a cable from an island 6 miles from shore to a station 9 miles down the coast from a point on shore directly across from the island. If it costs \$400 per mile to lay the cable on land and \$500 per mile underwater, ﬁnd the cost of laying the cable in terms of x as shown below....
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