Calculus 2-A5

# Calculus 2-A5 - Calculus II Calculus Early Transcendental...

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Calculus II Calculus: Early Transcendental Functions , 4th ed., by Ron Larson, Robert Hostetler, and Bruce H. Edwards (Boston: Houghton Mifflin, 2007; ISBN-10: 0-618-60624-6). Written Assignment 5 Complete the following textbook exercises for sections 10.4, and submit them to your mentor for correction and grading. Show all calculations. SECTION 10.4 Exercises Do exercises 4, 14, 28, 32, 38, 62, 76, and 92 on pages 736–737 of the textbook. 4. In Exercises 1– 6, plot the point in polar coordinates and find the corresponding rectangular coordinates for the point. π/2 x = 0 cos (-7π/6) = 0 (0,0) y = 0 sin (-7π/6) = 0 (x,y) = (0,0) 14. In Exercises 11– 16, the rectangular coordinates of a point are given. Plot the point and find sets of polar coordinates for the point for 0 ≤ ø < 2π. (x,y) = (4,-2) r = ± √(16 + 4) 1 2 3 4 5 6 r = ± 2√5 tanø = -(2/4) tanø = -(1/2) (4, -2) ø ≈ -0.464 (2√5, -0.464), (-2√5, 2.678) 28. In Exercises 27– 34, convert the rectangular equation to polar form and sketch its graph. x 2 - 2ax + y 2 = 0 π/2 x 2 - 2ax + a 2 - a 2 + y 2 = 0 (x 2 - 2ax + a 2 ) - a 2 + y 2 = 0 (x-a) 2 + y 2 = a 2

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Calculus 2-A5 - Calculus II Calculus Early Transcendental...

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