Let x and y be positive numbers such that xy=13. Thus, y=13/x. We want to minimize t=x+y=x+13/x. Differentiate t=x+13/x.
t'=1-13x-2
Set this equal to zero.
1-13x-2=0
13x-2=1
x2=13
x=sqrt(13)
Now solve for y:
y=13/x=13/sqrt(13)=sqrt(13)
To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.
The least possible odd number is 1. Odd numbers are integers that cannot be evenly divided by 2, and 1 is the smallest positive integer that meets this criterion.
There is no smallest number, since half that number would be smaller. The Greek letter, delta, in lower case is one symbol is used for small numbers. Epsilon and eta are also used for small numbers in calculus.
If 0's are not allowed, then 1.67 is the smallest.
The four smallest positive integers are 1, 2, 3, and 4. To find the smallest positive perfect square divisible by these numbers, we first determine their least common multiple (LCM). The LCM of 1, 2, 3, and 4 is 12. The smallest perfect square greater than or equal to 12 is 36, which is (6^2). Thus, the smallest positive perfect square that is divisible by 1, 2, 3, and 4 is 36.
There is no such number. There are two possible interpretations of the question: the smallest number being the most negative or the one with the smallest absolute value. In the first case, negative numbers, like positive numbers go on forever. One less than the previous smallest will always be smaller. In the second case, numbers are infinitely dense. So for positive fractions, half of the previous smallest will be smaller still.
To find positive integers that sum to 14 and have the smallest product, we can use the fact that the product of numbers is minimized when the numbers are as far apart as possible. The optimal way to split 14 is into one integer of 1 and the other of 13, resulting in the integers 1 and 13. The product of these two integers is (1 \times 13 = 13), which is the smallest possible product for integers that sum to 14.
The least possible odd number is 1. Odd numbers are integers that cannot be evenly divided by 2, and 1 is the smallest positive integer that meets this criterion.
There isn't one. Negative numbers have prime factors and numbers don't stop. The smallest positive numbers with a prime factor is 2.
There is no smallest multiple since there are infinitely many negative numbers. The smallest POSITIVE multiple is 6.
The smallest three-digit even number is -998. However, while considering only positive numbers, the smallest three-digit number even number is then 100.
(3x5x7x11)2 =1334025
There is no smallest number, since half that number would be smaller. The Greek letter, delta, in lower case is one symbol is used for small numbers. Epsilon and eta are also used for small numbers in calculus.
If you want positive numbers, the answer is 101.
Not possible. The LCM (least common multiple) is the smallest positive whole number exactly divisible by two or more whole numbers.
smallest possible whole number is 6500
If 0's are not allowed, then 1.67 is the smallest.