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The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.
Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.
Let us consider the two positive real numbers as x and y. Then, their sum is written as,
x+y=108
Then, y=108-x
And the product is written as,
P=xy²
Substitute value of y in the above equation, we get,
Now, differentiate P with respect to x, and we get,
Solving the above equation to zero, we get,
Substitute values of x in y=108-x, to get values of y.
If we substitute x=108, we get the y value as zero which doesn't give the required solution.
But, if we substitute x=36, we get,
Thus, the two positive numbers are 36 and 72.
To know more about positive numbers:
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Answer:
Step-by-step explanation:
Let's see how well I can explain this. is the same as a 30 degree angle which is in quadrant 1. If you picture the unit circle, right in the center of it is the origin. If you draw a straight line from 30 degrees and through the center (the origin), you will automatically "connect" with the reference angle of 30 (this is true for ALL angles on the unit circle). This puts us in quadrant 3. In quadrant 3, x is negative and so is y. So the terminal point of the reference angle for 30 degrees has the same exact values, but both of them are negative (again, because both x and y are negative in quadrant 3). I can't see your choices but the one you want looks like this: