Existing Fence Cows Goats Sheep бх 4x 2x A farmer wishes to build rectangular enclosures against an existing fence to keep the farm animals separated. All dimensions are in metres and the farmer has 1000 metres of fencing. All lengths shown on the diagram need to be constructed except, of course, the existing fence. (i) Show clearly why 12x + 4y = 1000 1 If the total area of the three enclosures is A m² ; Prove A = 3000x – 36x² (ii) 1

Q: 2 A rectangle has its base on the x-axis and its two upper Corners dn the parabols. Y=12-x²,What is…

A:

Q: If all the dimensions of the prism are tripled, what effect will this have on its total surface…

A: Given,           A rectangular prism is shown below ;

Q: An open box of maximum volume is to be made from a square piece of material, s = 24 centimeters on a…

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

Q: 4. One -third of x is square of the cube root of y. 5. The square of half of x is 1 greater than…

A:

Q: A Norman window has the shape of a rectangle surmounted by a semicircle. Find the dimensions of a…

A: The amount of the light will be maximum when the area of the window is maximum. Let 2x be the width…

Q: 4)A)iPA mxn mabrx and CCA)- R'then? a. A is 6x6 inUerbible mabrix b)A is 6x6 mabine C Ais 6X6…

A:

Q: 11) A full 18 wheeler needs to move its cargo to another truck. The 18 wheeler has dimensions of…

A:

Q: A warehouse has 20 rack bays, with each rack bays has a dimension of 2.5m width and 1.5 height. They…

A: Given:  Number of rack bays= 20  Dimension of each rack:  width = 2.5m  Height= 1.5m  Depth=  1m to…

Q: 13. A gardener wants to make a rectangular enclosure using a wall as one side and 120 m of fencing…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: a using a Coupon for 10% off. The to h includes $2.70 in sales tax. Noah's purchase can be modeled b…

A: Follow next step

Q: ER MATHEMATICS CLASS SS2 1(a) If x and ß are root Yhh e quadratic equation 3x 2 + 2x + 5 0, Find the…

A: Given, two roots of the equation 3x2+2x+5=0 is α and β. Then,  α+β=-23αβ=53 Now,…

Q: Social animals that live in groups can spread less time scanning for predators thab solitary…

A: We need to find the size of the group for which the time wasted on scanning and fighting is…

Q: A box with a square base is to hold a volume of 200. The bottom and top are formed by folding in…

A:

Q: こre て r t 6 Make r the Su bject

A:

Q: All of the areas are perfect squares. A=25 m2 5 m The sum of the areas of the two A= 16 m2 5 m…

A: Yes all the square areas are perfect squares  Sum of two smaller square areas is = area of larger…

Q: ) solke lineaw equation using Invers Metho d using Invers matria method 2X-4+37= 2 x +34-2= 44…

A: 2x-y+3z=2x+3y-z=112x-2y+5z=3

Q: 17. In a chemistry laboratory there are three containers. One cone-shaped, one spherical and one…

A:

Q: A jeweler has three small solid spheres made of gold, of radius 5 mm, 6 mm, and 7 mm. He decides to…

A: Given, Three small solid spheres made of gold, of radius 5 mm, 6 mm, and 7 mm   He decides to melt…

Q: A construction company was hired to build a swimming pool for public use. The client wants the depth…

A:

Q: 4. Find the greatest value of x"y" where x and y are positive, x + y = a, and m and n are positive.…

A:

Q: B. C. = X %3D Find x and mZBDC. 6. MZADC = 116°, m2 ADB = x, m² BDC is 3 times bigger than mZ ADB.…

A: 5. Given m∠ADC =5x-20 ,m∠ADB=x-4 and m∠BDC =x+5

Q: The area bounded by the curve y = x3, the x - axis, and the lines x + 2 = 0 and x = 1 i

A:

Q: An open-top box is to be constructed from a sheet of tin that measures 36 inches by 18 inches by…

A: Here I am attaching image so that you understand each and every step.

Q: A E K В T side F L M G R bottom top side side 8

A: The sketch will be as follows :

Q: Is x + 3 a factor of r + 8x? + 8x – 21? Yes, it is a factor. O The remainder when you divide is Is…

A: Given

Q: Reducing radicals when they have two multipliers that are perfect squares such as √50. Both 25 and 2…

A: To simplify a square root of a product of squares

Q: 4 A committee contains n members. If the total number of subcommittees with 3 members is 56, what is…

A:

Q: 10.Solve k -100k2 = 0 %3D 11.Factor 12y – 18 using the GCF 12. Factor (x- 6)² = 3 13. Factor 3x2+33…

A:

Q: 15. A carpenter needs to tile a rectangular floor whose width is (t -3) ft and length is (t2 + 3t…

A: Given rectangular floor whose width is (t -3) ft and length is (t2 + 3t +9) ft.

Q: 1-The cost of a student ticket is $1 more than half of an adult ticket. Six adults and four student…

A: Hey, since there are multiple questions posted, we will answer first three question. If you want any…

Q: If the given quadratic surd is a root of a polynomial equation, give the other quadratic surd that…

A: The detailed solution is given below Thank you

Q: A box has a square base of side x and height h.  a. find the dimensions x,h for which the volume is…

A:

Q: 17 . A square piece of tin of side 24cm is to be made into box without top by cutting a square from…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: An open box of maximum volume is to be made from a square piece of material, s = 12 centimeters on a…

A:

Q: An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a…

A: Let's find.

Q: An open box of maximum volume is to be made from a square piece of material, s 12 centimeters on a…

A:

Q: The base of a three-dimensional figure is bound by the semi-circle y = V9 x. Vertical cross sections…

A:

Q: The first thing “e” wanted to do is to “Calculuize” his favourite game, apples to apples. So, one…

A: A box for the apples to apples game such that its width is exactly three times its length and its…

Q: 5. A box for teas is to be made from some cardboard with dimensions 1m by 40cm. It is folded along…

A: Given: Size of cardboard is 1m by 40cm. To determine: a) An equation that represent the volume of…

Q: A painter weighing 120 pounds is hoisted by means of a rope windlass from the ground to a window on…

A:

Q: An open-top box is to be constructed from a sheet of tin that measures 36inches by 22 inches by…

A: Let's find.

Q: b) The following incomplete y versus x data is given. X 1 2 6 7 5 11 ??? ??? 32 15 The data is fit…

A: Concept: The data given presents the value of y when x values are given That is when x=1 y=5means…

Q: 14. Which of the following is NOT a root of x (x +3)(x +2)(x – 1)(2x + 1) = 0 А. О 15. A rectangular…

A: Explained below

Q: 2x+3 y Use Grame's Rule to solve 4-7y = x %3D

A:

Q: A closed box with a square base is to have a volume of 100 in3. The material for the top and bottom…

A: The volume of the box=100 in3 Let x be the side of the top and the bottom then the area of the top…

Q: An open box of maximum volume is to be made from a square piece of material, s 18 centimeters on a…

A: Given:- An open box of maximum volume is to e made from a square piece of material, s 18 centimeters…

Q: Pls help ASAP

A:

Q: X1t = a1 + azx2t + azx3; + e, We find that R-Square = 0.65. Based on this we can argue that: Select…

A: Given  R2=0.65

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.