The answer is about 0.02439.
I simply just put it into the calculator.
Answer:
=
, so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.
Step-by-step explanation:
The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,
, and
gives
=
,
Since m= slope =2, slope is rise/run, or (y2-y1)/(x2-x1), we'll make the point (6,6) = (x1,y1)
In point-slope form, y-y1 = m (x-x1) -->
y-6 = 2 (x-6)
y-6 = 2x-12
+6 = +6
y = 2x-6
-2x = -2x
-2x+y = -6