Question

The
sum of two positive numbers is 32. What js the smallest possible
value of the sum of their squares?

Answer #1

Find three positive numbers whose sum is 12, and whose sum of
squares is as small as possible, (a) using Lagrange multipliers
b)using critical numbers and the second derivative test.

Find two numbers whose sum is 14 and whose product is the
maximum possible value.
What two numbers yield this product?
______.

Find 3 positive numbers that sum up to 100 with the maximum
possible product.

What two nonnegative real numbers with a sum of 36 have the
largest possible product?
Let x be one of the numbers and let P be the product of the two
numbers. Write the objective function in terms of x. What is The
interval of interest of the objective function (Simplify your
answers)

1) Find two positive numbers whose sum is 31 and product is
maximum.
2) Find two positive whose product is 192 and the sum is
minimum.

Find two positive numbers whose product is 253 and whose sum is
a minimum.

Find two positive numbers satisfying the given requirements.
The product is 232 and the sum is a minimum.

Find two positive numbers satisfying the given requirements. The
product is 27 and the sum of the first plus three times the second
is a minimum.
first number
second number

Find the minimum sum of two positive numbers (not necessarily
integers) whose product is 600.
pls circle the answer

There are 2019 distinct positive integers placed in a circle. Is
it possible that the ration of any two consecutive numbers (the
largest to smallest) is a prime? What if we replace 2019 with
2020?

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