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What is the minimum value of sum of a positive real number and its reciprocal?
Wiki User
∙ 10y ago
This minimum is achieved when the number is 1 (and the reciprocal therefore is also 1).
Wiki User
∙ 10y ago
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What is the reciprocal of three sevenths?
Reciprocal of 3/7 is 7/3, when you multiply a number with its reciprocal you will get the value 1.
How do you find the absolute the Absolute Value?
The absolute value of a number is the positive (or non-negative) value of the number. The absolute value of 0 or a positive number is the number itself. The absolute value of a negative number is its positive equivalent.
How do you find a reciprocal?
A reciprocal is the number you must multiply another number by to get the product of 1. The reciprocal of 4 (which is the same as 4/1) is 1/4. The reciprocal of 3/8 is 8/3. The reciprocal of 13 is 1/13.This can also be expressed using exponents. The reciprocal of any value x is equal to x-1. So the reciprocal of a/b is (a/b)-1, which is equal to b/a.To find a reciprocal, put the number under one. If it is a fraction, flip the fraction. Whatever the reciprocal is, remember that it must always multiply to one with the original number.
What is the reciprocal number?
A reciprocal of a number is the value you get by dividing 1 by the number. For example, if you want to find the reciprocal of 10, then you divide 1 by 10 and you get 1/10. You can find the reciprocal of a fraction as well. Thus if you want the reciprocal of 1/10 then you divide 1 by 1/10 which is (1)/(1/10) which yields the original number we started with, namely 10. So 10 and 1/10 are reciprocals of each other. Note also that multiplying any number by its reciprocal will always yield 1.
Can the absolute value be negative?
No. The absolute value of any number is the value of that number ignoring the sign of the number, that is the positive value of that number.
What positive number added to its reciprocal gives the minimum sum?
Let x be the positive number we're looking for. The sum of x and its reciprocal is: x + 1/x We want to find the value of x that minimizes this sum. One way to do this is to use calculus. We can take the derivative of the sum with respect to x, set it equal to zero to find the critical points, and then test those points to see which one gives the minimum value. The derivative of the sum is: 1 - 1/x^2 Setting this equal to zero and solving for x, we get: x^2 = 1 x = 1 or x = -1 (but we discard this solution since we are looking for a positive number) So, the minimum sum occurs when x = 1. Checking, we have: 1 + 1/1 = 2 This is the minimum possible value of the sum. Therefore, the positive number we're looking for is 1.
What the recipracol?
Reciprocal of a number is the value you get when you divide 1 by that number. Also if you multiply a number with its reciprocal you will always get 1.
Multiplicative inverse of a negative number?
The multiplicative inverse is the negative of the reciprocal of the positive value. Thus the multiplicative inverse of -7 is -1/7.
What is the reciprocal of three sevenths?
Reciprocal of 3/7 is 7/3, when you multiply a number with its reciprocal you will get the value 1.
Is the absolute of a positive integer is a negative integer?
No. The absolute value of a number is the value of the number ignoring the sign - it is always positive: The absolute value of a negative number is a positive number; The absolute value of a positive number is a positive number.
What is the reciprocal value of the number 4?
1/4 or a quarter.
What value is the reciprocal of frequency?
The period of an electromagnetic wave is the reciprocal of the frequency. The wavelength is inversely proportional to the frequency.
Which real number does have a reciprocal and why?
0. It does not simply because it does not have a true value
When a positive number and a negative number are added together the sum is if the positive number has a greater value?
If a positive and negative number are added together, and the positive number has a greater value, the sum will be positive.
How do you find the absolute the Absolute Value?
The absolute value of a number is the positive (or non-negative) value of the number. The absolute value of 0 or a positive number is the number itself. The absolute value of a negative number is its positive equivalent.
How do you do minimum and maximum measurements?
The minimum would be the number of the least value in your data set, and the maximum would be the number of the greatest value in your data set. Value is determined by the distance of the number from zero on the number line for positive numbers, and all negative numbers have less value than positive numbers or zero (unless you are determining absolute value). If you have different forms of numbers less than one to categorize (such as decimals, fractions, or percentages) convert all numbers to decimals (by dividing by 100 for percentages and dividing the numerator by the denominator for fractions) to make finding the minimum and maximum values easier.
Is the vertex of a parabola occurs at the minimum value of the function?
Yes if it is positive
