Question: Could you post the answer as an image please as my phone wont let me download attachments b. Question 5b is worth 20 marks A
Could you post the answer as an image please as my phone wont let me download attachments
b. Question 5b is worth 20 marks A window frame is shown in Figure 1 below. The thickness of the frame and the struts within the frame are small compared to the other dimensions, and do not need to be accounted for separately. y A h Figure 1 A window frame made up of eight equal rectangles. Not drawn to scale. Show description v i. If 18 metres of frame are used to go around the outside perimeter of the window, show that: y = (9-4h) / 2 Explain each step of your working. (4 marks) ii. Show that the area of the window, A, can be expressed in terms of h by the quadratic equation: A = 36h - 16h2 Explain each step of your working. (4 marks) iii. Using the method described in Section 11.3 of the Part 3 book, find the overall dimensions of the frame (the height and width of the window) that make the area of the window a maximum. Explain each step of your working. (4 marks) iv. Using a spreadsheet, plot a graph showing the area of the window, A, as a function of h. Paste a copy of the graph into your TMA. (6 marks) V. Using the height and width of the window you found in Part 3 above, calculate the maximum area of the window. Compare this with the value shown in the graph you produced in Part 4 of this Question. (2 marks)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
