nth,103-ss 1 × u.edu/webwork2/mth 103 ss18 86800/Hw14 3.2/13/tkey a050c668123955

Question

nth,103-ss 1 × u.edu/webwork2/mth 103 ss18 86800/Hw14 3.2/13/tkey a050c668123955d74e7230dea 184468user liparianeffectiveUser lipa tate Mathway Math Prot Mal liparanOmsu , Koolers O Mastering Biology Ip D Mathematics I Mche s | Michig epartment of Mathematics webwork / mth 103 ss18 86800 / hw1432 / 13 w14 3.2: Problem 13 Previous Problem List Next 1 point) Mary wishes to use two sides of her house Find the value of r which yields the maximum area Determine the maximum area to enclose a rectangular garden which is shown above. She has 36 ft of fencing at ther disposal 12 Note: You can eam partial credit on this propiem Preview My Answers Submit Answers You have attempted this probliem 0 times You have 12 attempts remaining

Explanation / Answer

Assuming fencing is done along all the four sides of the garden

2(x + y) = 36

x + y = 18

y = 18 - x

Area = A = xy

A = x(18 - x)

We need to maximize this area

To maximize, dA/dx = 0 and d2A/dx2 < 0

A = 18x - x2

dA/dx = 18 - 2x = 0

x = 9

d2A/dx2 = -2

Hence x = 9 ft.

y = 18 - 9 = 9

Area = xy = 9*9 = 81

Area is 81 sq. ft.

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.