A rectangular garden consists of a rectangular lawn of area 72m2. The pass is 2m wide at two longer sides of the garden and 1m wide along each of other two sides. (i) Show that the area of the garden is given by formula 144 A = 4x+ - + 80, where x is the length of the shorter side of the rectangle Find the smallest possible area of the garden satisfying these requirements (ii)

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Q: 1. Mang Vicente has 1000m of fencing material and wishes to enclose a rectangular field. Two (2)…

A: Mang Vicente has 1000 m of fencing material and wishes to enclose a recangular field. Two adjacent…

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A: Given:Dimension of plastic board=30inch by inch

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A:

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A: Explanation of the answer is as follows

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A: GIVEN: 132 = (length + girth) = z + (2x + 2y)

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A: Let x ( in feet) be the length of side of rectangular field that  is parallel to the river and y (in…

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A:

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A:

Q: 3. One side of rectangular field is adjacent to a river, for the other three sides 480m of fence are…

A:

Q: A rectangle has its two lower corners on the x-axis and its two upper corners on the curve y = 49 –…

A: Topic :- Application of Derivative

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A:

Q: Numerically integrate f (x) = x +3x² + 4x – 6 from a = 1 and b = 2 using Single-Trapezoidal Rule.…

A: Integrate fx=x3+3x2+4x-6…

Q: A fence is to be built to enclose a rectangular area of 300 square feet. The fence along three sides…

A: We used formula of area of rectangle And find both side by using derivatives

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A: Given:- You are building a right-angled triangular flower garden along a stream as shown in the…

Q: A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will…

A: A rectangular plot of land is to fenced in using two kinds of fencing. Two opposite sides will use…

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A: Let length =x and width=y No fencing is needed along the barn, and the fencing along the west side…

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A: I am going to solve the given problem by using some simple calculus to get the required result.

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A:

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A: Concept: Area of the rectangle is  A=length×width Fencing of the rectangle means covering its…

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Q: 4. A rectangular box is to be made from a piece of cardboard 15cm by 24 cm by cutting equal squares…

A: A rectangular box is to be made from a piece of cardboard 15 cm by 24 cm by cutting equal squares…

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A:

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A: First we will assume the given field in x and y variables. Given area xy =900 ft2. From the given…

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Q: 8. A rectangle is bounded by the x-axis and the semicircle y = v64 – x². What length and width…

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Q: A rectangular page is to contain 36 square inches of print. The top, bottom, and both side…

A: Area of prited part = 36 sq. inches. Both side marginesare = 1.5 inches.

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Q: What should the dimensions of the poster be so that the least amount of poster is used?

A: Assume that, x = length of the printed space y = height of the printed space Then, Length of the…

Q: A rectangular field is to be fenced off along the bank river where no fence is required along the…

A: Let the length of the side parallel to the bank be y feet and the length of the other side be x…

Q: 11 An open rectangular box is to be formed by cutting squares of side length x cm from the corners…

A: Given that an open rectangle box is to cutting squares of side length x cm from the corners of a…

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A:

Q: 6) A rectangular page is to contain 24 square inches of print. The margins at the top and bottom of…

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Q: A rectangle is founded by the x-axis and the semicircle y = √ of 9 - x² what length and width should…

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Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A:

Q: 4. A Norman window has the shape of rectangle surmounted by a semicircle. (Thus the diameter of the…

A:

Q: A customer has a circular pool that is 20 feet in diameter. They want to plant bushes completely…

A: Given that: Diameter of circular pool=20 ft

Q: A farmer wants to fence in an area of 1.5 million square feet in a rectangular field and then divide…

A: Note:- We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

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A:

Q: A rectangular play yard is to be constructed along the side of a house by erecting a fence on three…

A: Given,  A rectangular play yard is to be constructed along the side of a house by erecting a fence…

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A: Step 1 Given: Perimeter of field fencing= 800ft 3lots are obtained by parallel fencing

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.