Find positive numbers x and y satisfying the equation xy=12 such that the sum 2x+y is as small as possible.

We are given equations as

Firstly, we will solve for y

now, we are given sum as

now, we can plug back y

Since, we have to minimize it

so, we will find it's derivative

now, we can set it to 0

and then we can solve for x

Since , both numbers are positive

so, we will only consider positive value

now, we can find y-value

So, two positive numbers are

............Answer

left 3, up 4

step-by-step explanation:

just count the values of x & y of the vertex of the graph and see how many units in the x and y direction will get you from the f(x) graph to the f(x) graph

$9.41

step-by-step explanation: