Perimeter = 2(Length) + 2(Width)
300 = 2L + 2W → 150 = L + W → 150 - L = W
Area = Length · Width
= L(150 - L) →
= 150L - L²
There are 2 different methods for solving (depending on which math course you are taking).
<u>Calculus</u>: find the derivative, set it equal to zero, and solve for L.
= 150L - L² → 0 = 150 - 2L → 2L = 150 → L = 75
<u>Algebra</u>: find the vertex.
= - L² + 150L → L = -b/2a → L = -150/2(-1) → L = 75
Once you solve for L, plug it into the Perimeter equation to solve for W:
150 - L = W → 150 - 75 = W → W = 75
Answer: 75ft x 75ft
Add the number of boys that prefer to play inside and the number that prefer to play outside and then divide the ones that prefer inside by the total. The answer is 43.4 percent
88............................
Answer:
Divergent.
Step-by-step explanation:
We have been given an integral
. We are asked to determine whether the given integral diverges or converges.





Let us compute the boundaries.

Since
is not a finite number, therefore, the given integral diverges.