2(-6(3-12)-17)= What the answer..........
1 answer:
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Answer:
The graph in the attached figure
Step-by-step explanation:
we have
1) -----> For the interval (-∞,-1)
Note The value of x=-1 is a open circle ( is not included)
This is a vertical parabola open upward
The vertex is a minimum
The vertex is the point (-2,0)
2) ----> For the interval [-1,1]
Note The value of x=-1 and x=1 are closed circle ( both values are included)
This is an absolute function open upward
The vertex is the point (0,1)
3) -----> For the interval (1,∞)
Note The value of x=1 is a open circle ( is not included)
The value of f(x) is negative for all values of x
therefore
The graph in the attached figure
Answer:
(A) 30772cm^2/s
(B) 153860cm^2/s
(C) 184632 cm^2/s
Step-by-step explanation:
We are given
speed of the ripple = 70cm/s
this speed is increasing the radius which means speed = radius /time
radius = speed*time
r= 70t
Now we know the area of the circle
A = π
this area will be increasing as ripples in water will spread out
upon differentiating
dA/dt = 2πr *
dA/dt = 2π*70t*70 ( r= 70t , dr/dt = speed = 70)
dA/dt = 9800π*t
(A) after 1 second
dA/dt = 9800π*1=9800π = 30772cm^2/s
(B) after 5 seconds
dA/dt = 9800π*5 = 153860cm^2/s
(C) after 6 seconds
dA/dt = 9800π*6 = 184632 cm^2/s