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

When are the Why Don't We boys' birthdays? Please answer. Also, how do you name someone brainliest?
Sally is 1 year older than 3 times the age of joe.Chirs is 5 years younger than 6 times the age of joe.If sally and Chris are the same age,how old is joe
1. UNDERSTANDING CONTEXT Considering the value Nazis placed upon racial superiority, what role did the state-sponsored ridicule of minorities serve?
Which of the following groups represented supporters of the Free-Soil Party
Helppppppppppp please and expalin if you can
A quarter is 1/3 of dóllar . Víctor has 32 quarter . How much money does he have
7. A pizza has a diameter of 18 inches. It is then cut into eight equal pieces. About how many square inches is each slice of pizza?
Given 1+cosx\sinx+sinx\1+cosx=4, find a numerical value of one trigonometric function of x.
CHANGE THE ACTIVE VOICE SENTENCES TO PASSIVE VOICE SENTENCES 1.THE MAN WITH NO TEETH WANTS NEW DENTURES? 2 THE WEATHERMAN FORECASTS STORMS FOR TOMORROW. 3.MY GR
when an organ is swollen does it weigh more or less?