Find two positive numbers that satisfy the given requirements. the sum of the first number squared and the second number is 57 and the product is a maximum.

We're looking for two positive numbers that satisfy this constraint:

The question is, how would we find the maximum? Well, we can solve for y to get:

Now, we sub our new found y value into the product to get:

So, to find the extrema of this we have to figure out when the derivative is 0, so:

That would mean our second number would be 38, and the maximum product would be

step-by-step explanation:

it will be a cylinder. with a diameter of 8 and 4 single pieces high

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is

cost of 2 dresses if one cost at $27.50 is  

cost of 1 pair of gold cuff at $17.50

so, total amount of money that he should pay if he has not used his duty free exemption is   $25.5+$55+$17.50=$98