For what positive number is the sum of the number and its reciprocal smallest?
2
The smallest sum of a number n and its reciprocal 1n is 2 which occurs when n=1 . Any other value of n will produce a larger sum.
What positive number when added to its reciprocal gives the minimum sum group of answer choices?
Thus, 1 and 1 are the two positive numbers such that one is the reciprocal of the other with a minimum sum.
What is the sum of twice a number and thrice its reciprocal?
The sum of twice a number and thrice its reciprocal is 25/2.
What number is the same as its reciprocal?
The reciprocal of 1 is 1. The number 0 does not have a reciprocal because the product of any number and 0 equals 0. The reciprocals of a number is sometimes called the Multiplicative Inverse of the number. The product of a negative number and its reciprocal equals 1.
What is the product of 3/4 and additive inverse of its reciprocal?
Reciprocal of 3 / 4 is 4/3. Additive inverse of reciprocal of 3/4 is – 4/3.
What is the smallest sum of a number and its reciprocal?
We can call this sum a function f (n) = n + 1 n. Now we take the derivative of f (n) w.r.t. n and set it equal to zero to obtain the minimum. However, we reject the negative value as n > 0. Hence, n = 1. Hence, the smallest sum of a number n and its reciprocal 1 n is 2 when n = 1. Any other value of n will produce a larger sum.
What is the smallest value possible for Y?
The smallest value possible for y would be 2. That is the sum if x=1. By contrast, a positive decimal value less than 1 will result in an even larger sum. For example, setting x to equal .1 will result in a sum of 10.01. 8 clever moves when you have $1,000 in the bank.
What are the three consecutive numbers whose sum is 129?
Let n = the first of three consecutive numbers. Let n + 1 = the second consecutive number, and Let n + 2 = the third consecutive number. Therefore, ,… Therefore, the three consecutive numbers whose sum is 129 are 42, 43, and 44, and 42 is obviously the smallest.