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Unformatted text preview: √ 7 √ 3 P 5. From the Online Textbook, Section 4.9: Problem 14. Challenge Problem: Compute the angle between the tangent lines in the fgure below. The two curves are given by x 2 + 2 xy + 4 y 2 = 7 and 4 x 2 + 4( y + 1) 2 = 5 There are two answers. I want the one that is less than 90 ◦ . Exact is best, but a decimal answer is acceptable i± it is in radians and it is correct to three decimal places. 1 Hints and Answers Exercises: 2. (a) 2 / √ 5; (b) 2 / √ 3. 3. (a)9 / 16; (b) 9 / 100. 4. (a) Tangent is horizontal, slope = 0. Normal is vertical, slope = ∞ . (b) Tangent is vertical, slope = ∞ . Normal is horizontal, slope = 0. Challenge: arctan 2 + arctan(1 / 10) ≈ 1 . 2068 radians. 2...
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This note was uploaded on 10/11/2011 for the course MATH 170 taught by Professor Staff during the Fall '08 term at Boise State.
 Fall '08
 STAFF
 Calculus, Derivative, Slope

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