Stitz-Zeager_College_Algebra_e-book

Of the two solutions for y only y 1 17 is positive so

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Unformatted text preview: s to a point rotated 45◦ counterclockwise from P where R= √ 2 2 √ 2 2 √ − 2 2 √ 2 2 (a) Find R−1 . (b) If RP rotates a point counterclockwise 45◦ , what should R−1 P do? Check your answer by finding R−1 P for various points on the coordinate axes and the lines y = x and y = −x. (c) Find R−1 P where P corresponds to a generic point P (x, y ). Verify that this takes points 2 on the curve y = x to points on the curve x2 − y 2 = 4. 506 Systems of Equations and Matrices 5. A Sasquatch’s diet consists of three primary foods: Ippizuti Fish, Misty Mushrooms, and Sun Berries. Each serving of Ippizuti Fish is 500 calories, contains 40 grams of protein, and has no Vitamin X. Each serving of Misty Mushrooms is 50 calories, contains 1 gram of protein, and 5 milligrams of Vitamin X. Finally, each serving of Sun Berries is 80 calories, contains no protein, but has 15 milligrams of Vitamin X.9 (a) If an adult male Sasquatch requires 3200 calories, 130 grams of protein, and 275 milligrams of Vitamin X daily, use a matrix inverse to find h...
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