Math  /  Calculus

QuestionA point moves along the circle x2+y2=25x^{2}+y^{2}=25 so that dx dt=2 cm/min\frac{\mathrm{d} x}{\mathrm{~d} t}=2 \mathrm{~cm} / \mathrm{min}. Find dy dt\frac{\mathrm{d} y}{\mathrm{~d} t} at the point (2,21)(-2, \sqrt{21}) Use the sqrt function or an exponent of 1/21 / 2 to represent a square root in your answer. For example to write 5\sqrt{5} you should either enter 5(1/2)5^{\wedge}(1 / 2) or sqrt(5). Also, don't forget to use * to represent any multiplication.
Numeric part Units

Studdy Solution
At the point (2,21)(-2, \sqrt{21}), dydt\frac{dy}{dt} is 421\frac{4}{\sqrt{21}} cm/min.

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