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To find the positive number ( x ) that, when added to its reciprocal ( \frac{1}{x} ), gives the maximum sum, we can express the sum as ( S = x + \frac{1}{x} ). By using calculus, we can determine that this function reaches its minimum at ( x = 1 ), which means that the maximum sum occurs symmetrically around that point. Therefore, the maximum sum ( S ) occurs at ( x = 1 ), giving ( S = 1 + 1 = 2 ).
What else can I help you with?
What is reciprocal of the added reciprocals?
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
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.
What are the numbers if the number added to 8 times the numbers reciprocal is 6?
2 and 4
What does a plus and a plus make in algebra?
A positive number added to another positive number always results in a positive sum.
What is the name of the number that when added to another equals 1?
There is a complement that when added equals one but you may be thinking of multiplying. A number times its reciprocal (multiplicative inverse) is equal to one. A number added to its additive inverse (opposite) is equal to zero.
What is the answer if a natural number is doubled when added to its reciprocal?
A natural number is doubled when added to its reciprocal. Find that number!
What is reciprocal of the added reciprocals?
the reciprocal is a factor by which you multiply a given number so that their product is 1. ex. 3/5 is the reciprocal of of 5/3.
If three times a number is added to twice the reciprocal of that number the answer is 5 find the number?
One.
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.
What are the numbers if the number added to 8 times the numbers reciprocal is 6?
2 and 4
When you add a positive number by a positive number is the number negative or positive?
Positive numbers always result in positive numbers when added, divided, or multiplied by another positive number.
What does a plus and a plus make in algebra?
A positive number added to another positive number always results in a positive sum.
What is the name of the number that when added to another equals 1?
There is a complement that when added equals one but you may be thinking of multiplying. A number times its reciprocal (multiplicative inverse) is equal to one. A number added to its additive inverse (opposite) is equal to zero.
What does a positive number added by a negative number equal?
The sum of a positive number and a negative number can be either negative or positive. 9 + -3 = 6 9 + -13 = -4
Does a positive number minus a negative number equal a positive number or a negative number?
Positive. A negative number added to a positive would reduce the original to a smaller positive, to zero, or to a negative depending on their relative values but subtracting a negative number from a positive number will always increase the value of the positive.
What do a positive and negative equal?
A positive number added to a negative number may be either positive or negative depending on the magnititude ( absolute value) of the numbers. But a positive number multiplied by a negative number is always negative.
Is a negative number added to a negative number positive or negative?
The answer to a problem that has a negative number added to a negative number would be negative.It would be a negative
