CEMC.UWATERLOO.CA I The CENTRE for EDUCATION in MATHEMATICS and COMPUTINGProblem of the WeekProblem DThe Largest SquareThree squares are placed side by side with the smallest square on the left and thelargest square on the right. The bottom sides of the three squares form ahorizontal line.The side length of the smallest square is 5 units, and the side length of themedium-sized square is 8 units. If the top-left corner of each square all lie on astraight line, determine the side length of the largest square.

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

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5. Edging a Planter A woman wants to make a small planter and surround it with edging material. She is deciding between two designs. Design 1: A square planter Design 2: A circular planter Edging material costs $3 a foot for the straight variety, which she would use for Design 1, and $4 a foot for the flexible variety, which she would use for Design 2. (a) If she decides on a perimeter of 24 ft, which design would give her the larger planting area? (b) If she decides to spend $120 on edging material, which design would give her the larger planting area?
Question 3: Javier will use Airbnb to book his accommodation in Havana,Cuba. However, he is unsure of how many nights he will stay in Cuba. a) Write an equation that will allow Javier to calculate what his total cost will be if the cost of his hotel is $95per night. Airbnb will be charge Luis $45 in service fees. b) Create a table of values describing the total cost ofJavier stay for the first 4 nights. c) Graph the equation. d) Interpret the slope and y intercept.
6 chapter 37 problem 1 9 chapter 17 problem 3
QUESTION 10 The width of a rectangular TV screen is 14.5 cm more than the height. If the diagonal is 68.6 cm, find the dimensions of the screen. h 68.6 cm ---- h+ 14.5 Fig. 7.18 Copyright © 2015 Pearson Canada Inc. Dimensions: Width = 52.2 cm & Height = 37.7 cm Dimensions: Width = 57.2 cm & Height = 42.7 cm Dimensions: Width = 59.2 cm & Height = 44.7 cm %3D Dimensions: Width = 55.2 cm & Height = 40.7 cm
Problem Two children sit on a seesaw, as illustrated. The mass, in kilograms, of the first child is m,and the mass, in kilograms, of the second child is m2. In the diagram, d, and d2 represent the distance, in feet, from the fulcrum (the balance point) to each child. The total distance between the children is 14 feet. fulcrum Part A For a seesaw to be balanced, m;d1 = m2d2 Use the information in the table to write the function f(x) that allows you to determine m1, the mass of the first child. m2 di d2 14 x 30 Part B Determine the inverse function to model the distance, d2. x). based on the mass of the first child. Show your work.
Problem Solving. Solve the following problems. No immediate rounding. Round off final answers to three decimal places. Find the value of the following
Problem 4. Edward A. Mouse has just finished his brand new house. The floor plan is shown below: T a. Edward wants to give a tour of his new pad to a lady-mouse-friend. Is it possible for them to walk through every doorway exactly once? If so, in which rooms must they begin and end the tour? Explain. b. Is it possible to tour the house visiting each room exactly once (not necessarily using every doorway)? Explain. c. After a few mouse-years, Edward decides to remodel. He would like to add some new doors between the rooms he has. Of course, he cannot add any doors to the exterior of the house. Is it possible for each room to have an odd number of doors? Explain.
A box with a hinged lid is to be made our of a rectangular piece of cardboard that measures 3 in by 5 in. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the 5 in sides (Fig 1). The remaining cardboard will be folded to form the box and it's lid (Fig 2). Letting x represent the side lengths in inches of the squaresn find the value of x that maximizes the volume enclosed by this box. Then give the maximum volume. Value of x that maximizes volume: ___in. Maximum volume: ___in.^3
5. Given the figures below, answer the following questions. Figure 3 figure # # of squares Figure 1 Figure 2 a. Find the model equation of the problem above. b. How many squares will there be in the 7th figure? 18th figure? c. In what order of the figure which there will be 61 squares? 15 2 6N انب دیا 3 7 ? 5 9 13 18 ?
In 1978, cars that got about 40 miles per gallon were readily available. If the average fuel economy of all cars sold since then was 40 miles per gallon (instead of the lower average mileage of the cars that were actually sold), how many billions of gallons of gas would have been saved in the United States since 1978? QUESTION 3 Noah's ark has been described as having the following dimensions: 300 cubits long x 50 cubits wide x 30 cubits high. If a cubit is 18 inches, how many people could fit into the ark?
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