X = cos(pi/6) = √3/2
y = sin(pi/6) = 1/2
So at point (√3/2, 1/2)
Slope = change in Y / change in x
Slope = (-2 - -2) / (-9 - -1)
Simplify:
Slope = 0/-8 = 0
Slope = 0
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
=
,
7mins 30 secs because if you do speed,distance,time then it is distance/speed then you get 7.5 and .5 of a minute that is 30 secs