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A relative (or local) maximum, for a function, is a point such that the value of the function at that point is greater than the values within a region on either side of it. It need not be a global maximum.
For example, consider a functions such as f(x) = 3*x - x^3
[it is shaped a bit like the letter S on its side].
Now f(1) = 2 is greater than all values of f(x) for x > -2. So the point (1, f(1)0 represents a relative maximum. However, for any x less than -2, f(x) is greater than f(1), and as x becomes more and more negative, f(x) becomes infinitely large. So f(1) cannot be a global maximum.
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Does a differentiable function have to have a relative minimum between any two relative maximum?
Yes.
A fisherman travels downstream at full speed to?
The maximum speed that a vessel will achieve relative to ground is its own maximum speed through water plus the speed of the the moving water downstream.
If f is continuous for all x and y and has two relative minima then f must have at least one relative maximum?
Yes.If you find 2 relative minima and the function is continuous, there must be exactly one point between these minima with the highest value in that interval. This point is a relative maxima.Think of temperature for example (it is continuous).
Does every graph of a cubic function have relative maximum and minimum points?
No, since the equation could be y = x3 (or something similar) which will have a point of inflection at (0,0), meaning there is no relative maximum/minimum, as the graph doesn't double back on itself For those that are unfamiliar with a point of inflection <http://mathsfirst.massey.ac.nz/Calculus/SignsOfDer/images/Introduction/POIinc.png>
Use the first derivative test to determine the relative maximum and relative minimum values of y equals 2x3 plus 3x2-36x?
first derivative = 6x2 + 6x - 36 factors are (6x + 18)(x - 2)
What is the maximum value of a wave reaches relative to its resting position?
The maximum value a wave reaches relative to its resting position is called the amplitude. It represents the maximum displacement of the wave from its equilibrium position.
Does a differentiable function have to have a relative minimum between any two relative maximum?
Yes.
The height of a plant is 45 cm with an estimated absolute error of 0.9 cm what percent is the relative error?
To get the relative error is the maximum error over the measurement. So the maximum error is the absolute error divided by 2. So the maximum error is 0.45. The relative error is 0.45 over 45 cm.
What is the maximum value a wave reaches relative to its resting position?
The maximum value a wave reaches relative to its resting position is called the amplitude. Amplitude represents the maximum displacement of a wave from its equilibrium position. It is a measure of the wave's intensity or strength.
What are extremes in math?
the first or the last term of a proportion or series. a relative maximum or relative minimum value of a function in a given region.
Air that holds the maximum amount of water at a given temperature is said to be what?
Relative Humidity.
What is relative intensity?
Relative intensity refers to the level of effort or exertion required to perform an activity, relative to an individual's maximum capacity. It is often used in exercise science to prescribe and monitor the intensity of workouts based on a percentage of an individual's maximum effort. Understanding relative intensity helps tailor training programs to achieve specific fitness goals.
What is the proportion of water vapor present in a parcel of air relative to the maximum amount of water vapor that could be present in the air at the same temperature?
The relative humidity.
What is the amount of moisture the air contains compared with the maximum it can be hold at the given temperature?
Relative humidity.
Which country has had the maximum relative decline in its share of world output since 1963?
United States
what is Amount of moisture the air contains compared with the maximum it can hold at a given temperature?
relative humidity
What is the percentage of the maximum amount of water vapor the air could hold?
relative humidity
