A piece of wire of length 60 is cut, and the resulting two pieces are formed to
Question:
A piece of wire of length 60 is cut, and the resulting two pieces are formed to make a circle and a square. Where should the wire be cut to (a) Minimize. (b) Maximize the combined area of the circle and the square?
Step by Step Answer:
Let x be the length of the piece of wire used to make the circle then 60 x is the length f the p...View the full answer
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral triangle, how should the wire be cut so that the total area enclosed is (a)...
-
A piece of wire is cut, and the length of the wire has a normal distribution with a mean 7.2 m and a standard deviation 0.11 m. If the piece of wire is then cut exactly in half, what are the mean and...
-
Answer Exercise 37 if one piece is bent into a square and the other into a circle. A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is bent into an...
-
Dominic and Jared were general partnership has equal partners Dominic contributes cash 25,000 securities values at 50,000 and they adjusted basis of 32,000 and equipment valued at 25,000 and an...
-
A stock with a current price of $78 has a call option available with a strike price of $80. The stock will move up by a factor of .95 or down by a factor of .80 each period for the next two periods...
-
Pitcher Corporation purchased 60 percent of Softball Corporations voting common stock on January 1, 20X1. On December 31, 20X5, Pitcher received $210,000 from Softball for a truck Pitcher had...
-
A material that tends to lose electrons is put into contact with a material that tends to gain electrons. Why wont electrons flow continuously between these two materials?
-
Custom Chrome Inc. manufactures special chromed parts made to the order and specifications of the customer. It has two production departments, Stamping and Plating, and two service departments, Power...
-
why did Hyundai implement the QS 9000 system? What is the difference between ISO 9000 and Qs 9000 ? What were the benefits of QS 9000 implementation at Hyundai
-
A process is controlled with a fraction nonconforming control chart with three-sigma limits, n = 100, UCL = 0.161, center line = 0.080, and LCL = 0. (a) Find the equivalent control chart for the...
-
Find the function F that satisfies the following differential equations and initial conditions. F"'(x) = 4x, F"(0) = 0, F'(0) = 1, F(0) = 3
-
Make a complete graph of the following functions. If an interval is not specified, graph the function on its domain. Use a graphing utility to check your work. f(x) = 2 - x 2/3 + x 4/3
-
The salt MX has a solubility of 3.17 10 8 mol/L in a solution with pH = 0.000. If K a for HX is 1.00 10 15 , calculate the K sp value for MX.
-
Blake's Manufacturing Company provides the following ABC costing information: Activities Total Costs Activity-cost drivers Account inquiry ...
-
An accounting information system (AIS) is a subsystem of the overall management information system that provides information to an organization in the right format, size, time frame, and within a...
-
reference Salish Software Solutions Company profitability and solvency position based on February 28, 2023 Balance Sheet and Profit& Loss Reports used for financial ratios? explain some of the...
-
The UK inflation rate is predicted to be 15% and the Euroland inflation rate is predicted to be 5%. The current Euro/ exchange rate is 1.60 Euros per pound. What is the expected Euro/ rate in one...
-
Here is a hint for problem 18. Let's say that there is a 50% probability that the company can meet its interest payment and a 50% probability that it cannot. In this case, the yield to maturity for...
-
Western Sound Studios records and masters audio tapes of popular artists in live concerts. The performers use the tapes to prepare ''live'' albums, CDs, and MP3s. The following account balances were...
-
Create an appropriate display of the navel data collected in Exercise 25 of Section 3.1. Discuss any special properties of this distribution. Exercise 25 The navel ratio is defined to be a persons...
-
Suppose 4 2 + 9y 2 = 25, where and y are functions of t. (a) If dy/dt = 1/3, find d/dt when = 2 and y = 1. (b) If d/dt = 3, find dy/dt when = 2 and y = 1.
-
Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement. d (tan?x) dx d (sec?x) dx
-
Differentiate. y = e
-
A cosmic ray of charge +9e approaches the Earth's equator with a speed of 1.90x10 7 m/s. If the acceleration of this particle is 8.80x10 10 m/s, what is the mass of this cosmic ray particle? The...
-
How do cognitive-behavioral techniques such as mindfulness meditation and cognitive restructuring contribute to stress mitigation and resilience enhancement?
-
Topic Sentiment analysis is contextual examination of words, and words within sentences across all social media platforms and web sites, in order to reveal the sentiment of the writer. All texts...
Study smarter with the SolutionInn App