User Account

All Pages

Solve the equation for the ellipse for y in terms of x

Assignment Help Mathematics
Reference no: EM131139432

Problem - Use calculus to find the dimension (base and height) and the area of the largest rectangle that can be inscribed in the ellipse x2/144 + y2/16 = 1.

(a) Inscribed rectangle has dimensions base = 2x, height = 2y → area is A = (2x)(2y).

(b) Solve the equation for the ellipse for y in terms of x. Use the positive √ only.

(c) Write area as function A of c only and find the critical number of A(x) that maximizes area.

(d) Warning: √(a-b) ≠ √a - √b, so that x/12 + y/4 = 1 is unrelated to this problem!

865_Figure.png

Reference no: EM131139432

Questions Cloud

How can you use evidence based research : How can you use evidence-based research to demonstrate the relationship of nursing practice to outcomes in your policy priority?
Marketing research refers : Marketing research refers to:
Time-series and associative forecasting models : Describe the various types of time-series and associative forecasting models. Which types of organizations are each of these most applicable to, and why?
Craftsman specializing in woodcarvings : Emmanuel Abrams is a craftsman specializing in woodcarvings. He employs 16 people. Abrams sells his wood sculptures from a gift shop in Flatbush, which is located in the center of state Z. Locally grown products and homemade jams are also sold at the..
Solve the equation for the ellipse for y in terms of x : Use calculus to find the dimension (base and height) and the area of the largest rectangle that can be inscribed in the ellipse x2/144 + y2/16 = 1
What the rebound effect is with regards to energy efficiency : Briefly explain what the rebound effect is with regards to energy efficiency. Briefly explain why surveys may be an effective tool to better understand what the local public desires, rather than conducting the town hall decision-making meetings requi..
What would be the expected cost of the units : Digicomp produces a new telephone system with integrated TV screen. Its learning factor is 80%. What would be the expected cost of the units if Digicomp charge $30 for each hour of work?
The price component of the marketing mix refers : In personal branding, the “price” component of the marketing mix refers to:
Relationship selling refers to : Relationship selling refers to

Reviews

Write a Review

Mathematics Questions & Answers

  The amounts a soft drink machine is designed to dispense

the amounts a soft drink machine is designed to dispense for each drink are normally distributed with a mean of 12.1

  Business mathematics and statistics

Assignment on  Business mathematics and statistics,  Fix a Straight Line Trend equation by the method of Least Square Principle method. Assuming that the same rate of change continues what would be the predicted earnings for the year 1990?

  At what rate in cubic centimeters per minute is the volume

Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 83 kPa and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?

  A random sample of 20 days in action shows that new guns

the police department of youbet michigan is considering the purchase of new radar guns.nbsp on the average the guns

  Find probability when throwing five six-sided dice

Probability when throwing five six-sided dice, Compute the probabilities for each of the following when you throw five-six handed dice.

  What will be the dimensions of the patio

A patio is to be built in the shape of a rectangle. The length is to be 5 feet shorter than 3 times the width. The perimeter of the patio is 190 feet. What will be the dimensions of the patio?

  Find the probability that the width of any given piece

Describe a real-life situation to which the normal distribution could be applied. Explain why. How does a normal distribution differ from one, which is not? Which aspects of your situation might be altered?

  What two variables have the strongest positive strength

What two variables have the strongest positive strength of relationship?

  What are the roots of the equation roots of the equation

what are the roots of the equation roots of the equation 3(tan^4(x)+1)=10tan^2(x) in the interval [pi and 3pi/2]

  What will be the height of the box

A company wishes to design a rectangular box with square base and no top that will have a volume of 25 cubic inches. If dimensions are selected so that the surface area is minimized, what will be the height of the box?

  Determine total number of possible passwords

Describe a different set of conditions that can be used to create a secure 5 character password. Determine the total number of possible passwords that can be created using your conditions.

  What was the rate of rainfall for each of the two storms

Two rainstorms occurred in one week in a certain area. The first storm lasted 25 hours and the second storm lasted 15 hours for a total 1025 mL of rain. What was the rate of rainfall for each of the two storms if the sum of the two rates was 55 mL..

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd