The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is

Question:

The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is 48m.

i. Find an expression for y in terms of x.
ii. Given that the area of the garden is Am², show that A = 48x − 8x².
iii. Given that x can vary, find the maximum area of the garden, showing that this is a maximum value rather than a minimum value.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 11:25 PM

See More Questions

In each diagram below, I and II represent sampling distributions of two statistics that might be used to estimate a parameter. In each case, identify the statistic that you think would be the better...
Show that the rectangle with maximum perimeter that can be inscribed in a circle is a square.
The expression Fa L = constant can be written using x = L/L10, and it can be expressed as Fa x = K or log F = (1/a) log K (1/a) log x. This is a straight line on a log-log plot, and it is the basis...
An automobile is traveling at 60.0 km/h. Its tires have a radius of 33.0 cm. (a) Find the angular speed of the tires (in rad/s). (b) Find the angular displacement of the tires in 30.0 s. (c) Find the...
How does your college or university position itself? If you were responsible for coming up with a new positioning, or repositioning, for your college/university, what would that be? Justify your...
Golden Inc. has been manufacturing 5,000 units of Part 10541 per year. It is used in the manufacture of one of its products. At this level of production, the cost per unit of manufacturing Part 10541...
In the third system of pulleys, 4 pulleys are arranged. Find the effort required to lift a load of 1 kN if the efficiency of the pulley system is 80%.
Scripps Health is a long-standing and prominent nonprofit health-based organization that is based in the greater San Diego area. The organization experienced a severe financial downturn that led to...
Provide a brief summary of the following websites: Atwood, C. G. (2020). Succession planning basics (2nd edition.). ATD Press. Retrieved from...
K Dhoni is a business consultant. The following trial balance is provided at 30 September 201: The following additional information is supplied: 1. At 30 September 201 rent received in advance...
A closed circular cylinder has radius r cm and surface area Acm2, where Given that the radius of the cylinder is increasing at a rate of 0.25 cms 1 , find the rate of change of A when r = 10. A = 22...
The curve y = 2x 3 + ax 2 + bx 30 has no stationary points. Show that a 2 < 6b.
Review Polaris income statement in Appendix A and identify its revenues for the years ended December 31, 2011, December 31, 2010, and December 31, 2009. For the year ended December 31, 2011, Polaris...
EXERCISES 1. (a) If you haven't already done so, enter the following commands: f=@(t,y) 0.5*y; = t=linspace (0,2,100); y=3* exp(0.5*t); %define exact solution of the ODE [t80, y80]=euler (f, [0,...
Discuss the impact of pharmacogenomics on personalized medicine and its implications for pharmacy practice.
Defend with critical analysis applying a socio-economic theory, law, model, or policy backed by research of the Taiwan economy.
What Mapping Microsoft Windows and applications into a typical IT infrastructure is? What common Windows thread and Vulnerabilities are?
What role does technological innovation play in improving the standard of living, and how can governments and private enterprises incentivize and support innovation?
Evaluate the argument that humorous messages may wear out faster than other types of advertising appeals. Do you agree or disagree with this position?
(a) Bright Sdn Bhd (BSB) is a tax resident manufacturing company in Johor, which involves in ceramic tiles. Currently, BSBs annual sales turnover has been forecasted to be around RM 300,000 for the...
Use a pie chart to depict the proportion of respondents who worked for the government or worked in the private sector.
Are there differences between the three categories of race with respect to working for the government or working in the private sector? Draw a graph to depict the differences.
Use a graphical method to determine whether men and women differ with respect to working for themselves or someone else. The following exercises are based on the General Social Survey in 2014...
Why do you think investors need to know operating income when they have net income? What is the most significant information that your Income Statement is providing you in general and more...
Cody is in college. How do you think his Statement of Financial Position will change after he graduates from college? Identify at least two specific changes.
Define NPV, IRR, MIRR, PI, and Payback. What do these help mangers to do? Which of these do you prefer, why do you say this? Which is the worst method? Why do you say this? What is Capital Rationing?

The diagram shows the dimensions in metres of an L-shaped garden. The perimeter of the garden is

Question:

V 3x 4x 2y x 3y

Step by Step Answer:

We are required to find the required expressions for y in terms of x ar...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions