ERROR ANALYSIS Describe and correct the error in finding the x-intercept.
1 answer:
The x-intercept is -6
Step-by-step explanation:
In order to find the x-intercept, we put y = 0 and to find the y-intercept we put x = 0
In the given method, x is put equal to zero instead of y as x-intercept had to be found.
Given equation is:
Dividing both sides by -2
The x-intercept is -6
Keywords: Coordinate geometry, Intercepts
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Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
Answer:
Therefore the rate change of height is m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.
The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is
Differentiating with respect to t.
Putting the value
The rate change of height does not depend on the height.
Therefore the rate change of height is m/s.