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

A grocery store gives away a $10 gift card to every 25th customer and a $20 gift card to every 60th customer. Which customer will be the first to receive both
Which of the following measures will help avoid undue eyestrain? reading with adequate light watching television from as far away as possible taking breaks when
Reid ate 1/4 if pie, joe ate 1/3 of pie. How much was left after they both ate their pieces
Which of these forces attract a positive charge towards a negative charge? a. gravitational force b. electromagnetic force c. weak nuclear force d. strong nucle
What diagram can represent set relationships visually?
Sarah's craft project uses pieces of yarn that are 1/8 yard long she has a piece of yarn that is 3 yards long how many 1/8 yard pieces can she cut and still hav
How do you graph y= -x+5
The Nubians settled in present day what
What is the unit rate for 14 lb for $2.99
Suppose you turn on the weather channel on tv because you want to know if the weather is good for ice-skating. The specific information you"ll probably look for