Associative property and distributive property
Implicit differentiation
chain rule is important here
I'll show the steps partially




now evaluate for (-2,2)
x=-2 and y=2



that's it, simplest form
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Answer:
(b) (x – 4)^2 + (y – 6)^2 = 16
Step-by-step explanation:
The equation for a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
You want the equation for a circle with center (4, 6) and radius 4. That equation is ...
(x -4)^2 +(y -6)^2 = 16
The value of sin(2x) is 
Explanation:
Given that 
The formula for
is 
Since, 
Also, it is given that 
Thus,
and 
To find the hypotenuse, let us use the pythagoras theorem,

Now, we can find the value of sin x and cos x.


Now, substituting these values in the formula for sin 2x, we get,

Thus, the value of sin(2x) is 