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

Find the 113th term in the sequence -10.5, -6.6, -2.7, 1.2, ... A)-447.3 B) 426.3 C)430.2 D)-1172.1
Who is the curve for inventing the first structure of DNA
List three components of good sportsmanship and apply them to a competition
expressing rational numbers with decimal expansions
At the end of the Persian Gulf War, what did Iraq agree to do?
what are non examples of volume
The Carlsbad Decrees included a secret _______________________________ force and censorship of newspapers.
Mary is making pillows for her Life Skills class. She bought 2 1/2 yards of fabric. Her total cost was $15. What was the cost per yard?
Is the length of your classroom greater than or less than one kilometer?
Why did the Constitution grant Congress the power to create "inferior courts”? The builders of the Constitution ensured the extension of the principle of checks