Download Vector Calculus & Sequences: Dot Products, Angles, Series, Conic Sections, & Polar Coordin and more Exams Trigonometry in PDF only on Docsity! Ch 10 Vectors Work with n-dimensional vectors, n > 2 10.2 9-12, 25, 28 and 10.3 1-12, 15 and Ch 10 Review 17-19. Find the dot product of two vectors. Find the angle between two vectors. Section 10.4 1-10, 13, 14 Ch 11 Sequences and Series Determine if a sequence/series is arithmetic, geometric, or neither by looking for the common difference or common ratio. Find the nth term by using an appropriate linear or exponential model (as opposed to referencing an esoteric formula). Section 11.1 1-33, Section 11.2 1-4, Section 11.3 1-4 Ch 11 Review 4, 5 Use sigma notation. Section 11.2 10-29, 33-36, Section 11.3 5, 6, 10, 15 and Section 11.4 9-11 Solve applied problems. Section 11.1 26-29, 39, and Chapter 11 Review 9-12, 15, 18, 23 Find the sum of an arithmetic series, not by appealing to a formula, but by using a strategy similar to Gaussโ on p. 495. Section 11.2 20-30 Use the above formulas to find the sum of a finite or infinite geometric series, if possible. Section 11.3 5-11, 16 and Section 11.4 5-11, 19-21 (You may need to pull out a common factor as in 11.4 5, 6, 8-11, 16c) Determine the long run behavior of the effect of taking a therapeutic drug. See Quiz 9 and Section 11.3 16 and Section 11.4 19-21 Ch 11 Review #33. Ch 12 Parametric Equations and Conic Sections Eliminate the parameter to write a parametric curve without t in implicit form or explicit form. See Quiz 10 and Section 12.1 1-22, 28 and Section 12.2 14-17, 20 Write circles, ellipses, and hyperbolas in implicit form. Section 12.1 10-12, 17-18 and Section 12.2 3, 14, 16 and Section 12.3 1-10, 18, 19. Write circles and ellipses in parametric form. Section 12.2 5-11, and 12.3 1-10 Sketch conics and find vertices, center, asymptotes, etc., where appropriate if given the equation. Section 12. 3 1-4 and Section 12.4 1-4, 9, 10, 11a. If given the equation, determine the focal points of a conic or a point on the curve. If given the focal points or a point on the curve, find the equation. Section 12.5 1-22, 25-27, 30-33, 39, 40 Ch 7 Polar Coordinates and Complex Numbers Convert from cartesian coordinates to polar coordinates and vice versa. โข Points: Section 7.5 1-21 odd, 31-37 odd โข Equations: Section 7.5 22-29 Determine any intersection points of graphs involving polar coordinates: Section 7.5 41 Review for Test 3, Friday, Dec. 5, 2008 1 1 2 3 1 0 1 2 3 0 (1 ) 1 if 1 1 1 nn i n n i i n i a rar a ar ar ar ar ar r aar a ar ar ar ar r r + โ = โ = โ = + + + + โ
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