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2/3 2/3 2/3 The graph of the equation x +y = 10 is one of a family of curves called astroids because of their

 

2/3 2/3 2/3 The graph of the equation x +y = 10 is one of a family of curves called astroids because of their starlike appearance (as shown in the accompanying figure). Find the length of this particular astroid by finding the length of half the first-quadrant portion, y = (10/3 - 2/3) 3/2 x 10, and multiplying by 8. 3/2 52 2 The length of the given astroid is (Simplify your answer. Type an exact answer, using radicals as needed.) -10 Ay 10 -10 10 X

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