In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t when dx = -2 and x = 3 at this instant? dt

Q: Suppose x and y are functions of third variable t. In the equation x+y=45, what are the values of…

A: The given equation is: x2+y2=45   .....(1) When x = 3, 32+y2=45y2=45-9y2=36y=±6

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Q: For the function y = x2 , find the instantaneous rate ofchange of y with respect to x when x = 3.

A: The instantaneous rate of change of y with respect to x is given by dy/dx

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Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

A: Given; x2+y2=45, dx/dt=-2 ,x=3.

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Q: In the equation, x2 +y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: In the equation, x² +y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: Suppose x and y are functions of third variable t. In the equation +y=45, what are the values of the…

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