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The inverse-square law applies to gravitational and electrical forces. An inverse-square law tells you:That the force is inversely proportional to the square of the distance.That means that if the distance is increased by a factor "n", the force is decreased by a factor "n2".For example, if you increase the distance by a factor of 10, the force will decrease by a factor of 102 = 10 x 10 = 100.
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
The slope of an inverse relationship
The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.
In an inverse relationship, one variable decreases while the other increases. As an equation, a basic inverse relationship looks like x = 1/y.
The inverse square law.
Inverse square
They are inverse functions of each other.
The inverse-square law applies to gravitational and electrical forces. An inverse-square law tells you:That the force is inversely proportional to the square of the distance.That means that if the distance is increased by a factor "n", the force is decreased by a factor "n2".For example, if you increase the distance by a factor of 10, the force will decrease by a factor of 102 = 10 x 10 = 100.
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
The slope of an inverse relationship
Square root is the inverse operation of a square.
Gravity and Distance have an "Inverse Square" relationship. That means that as distance is increased by two (2), gravity is cut by one-fourth (1/4). [The inverse square of 2 is 1/4].
The opposite of another function - if you apply a function and then its inverse, you should get the original number back. For example, the inverse of squaring a positive number is taking the square root.
demand line shows an inverse relationship
It is a relationship of direct proportion if and only if the graph is a straight line which passes through the origin. It is an inverse proportional relationship if the graph is a rectangular hyperbola. A typical example of an inverse proportions is the relationship between speed and the time taken for a journey.
The inverse operation of taking the square root is to calculate the square.