Figure 7 shows a 10-foot ladder leaning against a wall.

(a) Use the Pythagorean theorem to find an equation relating x and y.

(b) If the foot of the ladder is being pulled along the ground at the rate of 3 feet per second, how fast is the top end of the ladder sliding down the wall at the time when the foot of the ladder is 8 feet from the wall? That is, what is dy/dt at the time when dx/dt = 3 and x = 8?

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10, Figure 7 X Y