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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It’s J, 3 - X would equal 3 - (-2) which turns into 3+2 which equals 5 but 5 is not greater than 10
8! is 40,320
Step-by-step explanation:
- Step 1: Find 8! (8 factorial).
Factorial of 8 is the product of 8 and all the integers below 8.
⇒ 8! = 8×7×6×5×4×3×2×1
= 40,320
An inscribed angle has value half the arc measure, so
x = 51 degrees