Before taking the derivatives of the function, simplify the equation first for smooth operation.
x^6 + y^6 = 1
Multiply the whole equation with an exponent of 1/6 for uniformity. This would get rid of the exponents of x and y. The product would be
x + y = 1^1/6
x + y = 1
Expressing in terms of x:
y = 1 - x
Now, we derive the equation:
y' = 0 -1 = -1
y" = 0
Since the budget is 4500 dollars per month, and every month is made of 4 weeks, the weekly budget is
We know that Mr Gleason takes home 900$ per week, so he almost make the whole budget: there are only 
left.
If Mrs Gleason brings home 9 dollars per hour, she'll have to work
hours per week.
← multiply both the numerator and the denominator by 10
<span>← simplify
</span>
The answer's
.
10! If you use the trapezoid area formula and plug in the known values, just solve for h(height)
