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

.....................
Where is the Arabian Sea which separates Greece from turkey
identify the appositive phrase the kit fox, a nocturnal hunter, is rarely seen by day
what does implemented mean
what hindered the development of the philippines after it gained independence
What is the area of the triangle shown? A) 5 B) 6 C) 12 D) 30
A _____ refers to a control system combining four sets of performance measures: financial, customer, business process, and learning and growth
(07.05 HC) The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below: Step 1: 3(3y − 8) = 10 + 3y Step 2: 6y − 5 = 10 + 3y Step 3: 3y − 5 =
In which way is the US government similar to the ancient Roman government?
Only one way to get out from your home should be included and in A fire escape true or false