Answer:
10 ft x 10 ft
Area = 100 ft^2
Step-by-step explanation:
Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.
The total area is given by:
The cost function is given by:
Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:
If S=10 then W =20 -10 = 10
Therefore, the largest area enclosed by the fence is:
Answer:
Step-by-step explanation:
We can solve this multiplication of polynomials by understanding how to multiply these large terms.
To multiply two polynomials together, we must multiply each term by each term in the other polynomial. Each term should be multiplied by another one until it's multiplied by all of the terms in the other expression.
Let's first start by multiplying the first term of the first polynomial, , by all of the terms in the second polynomial. (
)
Now, we can add up all these expressions to get the first part of our polynomial. Ordering by exponent, our expression is now
Now let's do the same with the second term () and the third term (
).
Phew, that's one big polynomial! We can simplify it by combining like terms. We can combine terms that share the same exponent and combine them via their coefficients.
This simplifies our expression down to .
Hope this helped!