Given:
The equation of line is
To find:
The x-intercept and y-intercept.
Solution:
The equation of line is
Putting x=0, we get
So, the y-intercept is (0,3).
Putting y=0 in the given equation, we get
So, the y-intercept is (-3,0).
Therefore, the coordinates of the point where the line intersects the y-axis are (0,3). The coordinates of the point where the line intersects the x-axis are (-3,0).
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
Answer: Rises to the left and falls to the right
Step-by-step explanation:
Use the degree and the leading coefficient to determine the behavior.
There is a good video called "Describing End Behavior Using Limit Notation" by Mario's Math Tutoring, and it helps to show you how to find the end behavior with limits.
