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The movement of the particle on the circle is its displacement.
The value of dy/dt at this time is -9/2.
<h3>What is the differentiation?</h3>Differentiation is a process, in Maths, where we find the instantaneous rate of change in function based on one of its variables.
A particle moves on the circle x^2 + y^2=25 in the XY-plane for time t≥0. At the time when the particle is at the point (3,4), dxdt=6.
The equation of the circle is given as:
Differentiate with respect to time
Substitute all the values in the equation
Hence, the value of dy/dt at this time is -9/2.
Learn more about differentiation here;
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Step-by-step explanation:
steps are in the picture.
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