WNDirections: Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins,corn, beans and potatoes. His plan is for the field layout in feet shown in the figure below. Usethe figure and your knowledge of polynomials, perimeter, area and volume to solve thefollowing: Make sure you label your answers after you simplify!! All labels should be in feet.SOE5x25 +2SquashPumpkins5+26xXy + x +742=-(-X (y +1) +772xCornDate:x²-940xCRN:1xy - 1BeansPotatoes1. Write an expression that represents the length of the south side of the field.(5x+Dx² - 7x +12(xy+1) + (x+6)Xy + x +72. Simplify the polynomial expression that represents the south side of the field. Don'tforget to label!! (5x+2) [X²-9)+ (x²-3x2xy + 112x²-3x2)=0]x+612213. Write a polynomial expression that represents the perimeter of the squash field.2 (5x-2- 4x + 5x +2 + 4x2 (20x)

As per the figure , the length of South side of the field is (5x+2) + (x2-9) + ( x2-7x+12)

Directions: Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans and potatoes. His plan is for the field layout in feet shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, area and volume to solve the following: Make sure you label your answers after you simplify!! All labels should be in feet. We 1. N 3. DE 4x 5. 5 +2 Squash Pumpkins 5x +2 6x Xy + x +7 x(y+1) +7 Corn x²-9 чох xy - 1 Beans Potatoes Write an expression that represents the length of the south side of the field. x (xy +1) + (x +6) x² - 7x +12 Xy + x +7 2. Simplify the polynomial expression that represents the south side of the field. Don't forget to label!! (5x+2) xy + 1 x+6 Write a polynomial expression that represents the perimeter of the squash field. 2 (5x-2-4x+ 5x +2+4x) 2 (20x))

Directions: Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins, corn, beans and potatoes. His plan is for the field layout in feet shown in the figure below. Use the figure and your knowledge of polynomials, perimeter, area and volume to solve the following: Make sure you label your answers after you simplify!! All labels should be in feet. We 1. N 3. DE 4x 5. 5 +2 Squash Pumpkins 5x +2 6x Xy + x +7 x(y+1) +7 Corn x²-9 чох xy - 1 Beans Potatoes Write an expression that represents the length of the south side of the field. x (xy +1) + (x +6) x² - 7x +12 Xy + x +7 2. Simplify the polynomial expression that represents the south side of the field. Don't forget to label!! (5x+2) xy + 1 x+6 Write a polynomial expression that represents the perimeter of the squash field. 2 (5x-2-4x+ 5x +2+4x) 2 (20x))

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

W
N
Directions: Farmer Bob is planting a garden this spring. He wants to plant squash, pumpkins,
corn, beans and potatoes. His plan is for the field layout in feet shown in the figure below. Use
the figure and your knowledge of polynomials, perimeter, area and volume to solve the
following: Make sure you label your answers after you simplify!! All labels should be in feet.
S
OE
5x2
5 +2
Squash
Pumpkins
5+2
6x
Xy + x +74
2=-(-X (y +1) +7
72x
Corn
Date:
x²-9
40x
CRN:
1
xy - 1
Beans
Potatoes
1. Write an expression that represents the length of the south side of the field.
(5x+
D
x² - 7x +12
(xy+1) + (x+6)
Xy + x +7
2. Simplify the polynomial expression that represents the south side of the field. Don't
forget to label!! (5x+2) [X²-9)+ (x²-3x
2
xy + 1
12
x²-3x2)=0]
x+6
12
21
3. Write a polynomial expression that represents the perimeter of the squash field.
2 (5x-2- 4x + 5x +2 + 4x
2 (20x)

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Step 1: 1) Length of South side

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Step 2: 2) Length of South side

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Step 3: 3) perimeter of squash filed

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Follow-up Questions

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Follow-up Question

8. The farmer would like his bean plants to grow to a height of (x + 3). Write a polynomial
expression to approximate the volume of the bean plant field if the plants reach a height
of (x+3). Do not use the x and y values from #7. Your answer should be strictly in
polynomial form.
9. Simplify the polynomial expression that represents the volume of the bean plants if
they reach a height of (x + 3). Do not use the x and y values from #7. Your answer
should be strictly in polynomial form.
10. Farmer Bob would like to plant four additional fields for produce. Using your factoring
skills, find the dimensions of each field given the area.
a.
The area of the strawberry field is 16x² + 4x.
2010 4
b. The area of the cucumber field is x² - 4x - 21.
C.
The area of the tomato field is x² - 36.
d. The area of the watermelon field is 6x2 + 5x - 4.

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