For a right triangle with a fixed hypotenuse of 10 m

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

For a right triangle with a fixed hypotenuse of 10 m, the length of one leg x is increasing at 1 m/s when x = 6 m. Which statement correctly describes the rate of change of the other leg y at that instant? (a) yy is increasing at 0.75 m/s0.75\text{ m/s}. (b) yy is not changing. (c) yy is decreasing at 0.75 m/s0.75\text{ m/s}. (d) yy is decreasing at 1.33 m/s1.33\text{ m/s}.

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