JKINGblackstar3001 JKINGblackstar3001
  • 03-07-2021
  • Mathematics
contestada

Find two positive numbers whose product is 64 and whose sum is a minimum. (If both values are the same number, enter it into both blanks.) (smaller number) (larger number)

Respuesta :

Numenius
Numenius Numenius
  • 04-07-2021

Answer:

Both the numbers are 8.

Step-by-step explanation:

Let the two numbers are p and 64/p.

The sum is given by

[tex]S = p +\frac{64}{p}\\\\\frac{dS}{dp}= 1 - \frac{64}{p^2}\\\\\frac{dS}{dp}=0\\\\\frac{64}{p^2}=1\\\\p= \pm 8[/tex]

So, the sum is minimum for p = 8 0r - 8, so the two numbers 8.

Answer Link

Otras preguntas

formula for working total time​
5 good things about the renaissance art
Their game of badminton is always on Saturday. - They
A builder mixes sand cement in the ratio of 4:1. Altogether he mixes 250kg. How much sand and cement does he use?
Help me please please please:( Ex.7
Come on smarts what is the answer ?
A department store offered a 6% percent on all small appliances. They also stated that the first 50 customers would receive an additional 3% discount off the sa
y is directly proportional to the square of x. When x = 3, y = 4.5. What is y when x is 8?
Directions: Identify the underlined portion of the sentence.Antonia worked at the coffee shop on Friday nights.underline word: worked a. Simple Subjectb. Comple
The story of Cupid and Psyche illustrates belief in the Greek mydla that a mortal might undergo (a) (deification