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For any 2 values between 0 and 1 will x squared always have a larger average rate of change than x cubed?
Wiki User
∙ 10y ago
No. Above x = 2/3, the slope of the x-cubed function is larger than that of the x-squared function. So, for example, a counter-example for the claim is the set of points 0.7 and 0.8.
Wiki User
∙ 10y ago
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What is a distance vs time graph?
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
How does the slope differ from average rate of change?
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
What is the change in average temperature between January and July if January's average temperature is 9 degrees Celsius and July's average temperature is 16 degrees Celsius in America?
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what is the change in speed or velocity? average acceleration will be change in speed or velocity divided by time taken (4 seconds in ur case)
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The change in the velocity divided by time in meters per second squared.
What is the difference between normal and average respiratory rate?
The difference between normal and average respiratory rate is simple. Normal is healthy and cannot change and average most certainly can change.
What is a distance vs time graph?
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How does the electric potential energy between two positive charged particles change if the distance between them is reduced by a factor of 3?
The electric potential energy between two positive charged particles will increase by a factor of 9 (3 squared) if the distance between them is reduced by a factor of 3. This is because the potential energy is inversely proportional to the distance between the charges squared.
What must be true about the average rate of change between any two points on the graph of an increasing function?
if a function is increasing, the average change of rate between any two points must be positive.
Is X squared plus y squared an example of nonlinear?
No, it is not an example of a nonlinear relationship because there is a steady rate of change.
How does the slope differ from average rate of change?
They are the same for a straight line but for any curve, the slope will change from point to point whereas the average rate of change (between two points) will remain the same.
What is the difference between a slope and rate of change?
Depends. Slope of tangent = instantaneous rate of change. Slope of secant = average rate of change.
Why seconds are s2 (squared) in the acceleration formula?
Seconds are not squared in the acceleration formula. The units for acceleration are meters per second squared (m/s^2), where the time unit (seconds) is squared to represent the change in velocity over time.
What is the change in average temperature between January and July if January's average temperature is 9 degrees Celsius and July's average temperature is 16 degrees Celsius in America?
The change is 7 Celsius degrees (NOT degrees Celsius).
What always accompanies a phase change?
A change in energy, such as heating or cooling, always accompanies a phase change in matter. This energy is required to break or form intermolecular forces between particles in order to change the physical state of the material.
How are positions and motion related?
Motion is change of position. but remember both must always be related to some 'datum' position or state of motion.
What is the average acceleration between 0 seconds and 4 seconds?
what is the change in speed or velocity? average acceleration will be change in speed or velocity divided by time taken (4 seconds in ur case)
