Question: A wire 100 centimeters in length is cut into two pieces. One piece is bent to form a square and the other to form a

A wire 100 centimeters in length is cut into two pieces. One piece is bent to form a square and the other to form a circle. Let x equal the length of the wire used to form the square.
Figure

(a) Write the function that represents the combined area of the two figures.
(b) Determine the domain of the function.
(c) Find the value(s) of x that yield a maximum area and a minimum area. Explain.

Step by Step Solution

★★★★★

3.60 Rating (175 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let x length of the wire used to form the square Then 100 x length ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

1383-M-C-P-E(940).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

A wire of length 100 centimeters is cut into two pieces; one is bent to form a square, and the other is bent to form an equilateral triangle. Where should the cut be made if (a) The sum of the two...

A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle. (a) Express the total area A enclosed by the...

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)...

*solve the attached4 questions. 15. Let /(x) =e-2' (a) Find any horizontal and vertical asymptotes of f(r). (b) Find the intervals where f(7) is increasing and the intervals where f (7) is...

270 Chapter 4 Applications of Derivatives c. What is the largest area the rectangle can have, and what are its dimensions? 12. Find the volume of the largest right circular cone that can be in- X...

13. [-11 Points] I DETAILS I SCALCET94.7.036. 0/100 Submissions Used MY NOTES ASK YOUR TEACHER A rectangle has its base on the X-axis and its upper two vertices on the parabola y = 25 x2. What is the...

P What's New X Section 4.4 Enl X P Do Homework X 7. The best fer X * Dashboard X metaphor the road no X 20 mylab.pearson.com/Student/PlayerHomework.aspx?homeworkld=667805132&questionld=6&flushed...

A rectangle is constructed with its base on the xaxis and its upper two vertices on the parabola y = 36 - x2. What are the dimensions of the rectangle with the maximum area? What is the area? The...

Optimization: Problem 1 Previous Problem Problem List Next Problem (2 points) A wire 2 meters long is cut into two pieces. One piece is bent into a square for a frame for a stained glass omament,...

13. [0/1 Points] | DETAILS I l PREVIOUS ANSWERS I SCALCET9 4.7.036. 1/100 Submissions Used MY NOTES ASK YOUR TEACHER A rectangle has its base on the xaxis and its upper two vertices on the parabola y...

The United States is a global super-power. What is the reach of U.S. laws in global disputes? How are U.S. courts able to have jurisdiction in global matters? What are the requirements for a U.S....

The following observations have been made from the test of a four- cylinder, two-stroke gasoline engine. Diameter = 10 cm; stroke = 15 cm; speed = 1600 rpm; Area of the positive loop of the indicator...

A Code Cell can be executed by pressing Question 8 options: Shift + Tab Shift + Enter Alt + Tab Ctrl + Enter

Decrease in Purchases The higher price of a T-shirt brings a decrease in the quantity demanded, which Figure 9.5 (b) shows as a movement along the demand curve from 60 million T-shirts at $5 a...

An instructor claims that the variance of SAT critical reading scores for females is different than the variance of SAT critical reading scores for males. The table shows the SAT critical reading...

A researcher claims that the distribution of the lengths of visits at physician offices is different from the distribution shown in the pie chart. You randomly select 350 people and ask them how long...

A quality technician claims that the variance of the insert diameters produced by a plastic companys new injection mold for automobile dashboard inserts is less than the variance of the insert...

Capital Budgeting Criteria: Mutually Exclusive Projects A firm with a WACC of 10% is considering the following mutually exclusive projects: O 1 N 3 4 5 $55 $230 + Project 1 -$400 $55 $55 Project 2 -...

Suppose your firm has decided to use a divisional WACC approach to analyze projects. The firm currently has four divisions, A through D, with average betas for each division of 0.8,1.2,1.4, and 1.6,...

i need help with parts 5-7 please - Prof, Business decides to buy a 2022 Honda CR-V Touring edition. After paying a down payment and taxes, Prof. Business can finance the rest of the purchase price...