A piece of wire, of length 60 cm, is bent to form a sector of a circle
Question:
A piece of wire, of length 60 cm, is bent to form a sector of a circle with radius r cm and sector angle θ radians. The total area enclosed by the shape is A cm2.
a. Express θ in terms of r.
b. Show that A = 30r – r2.
c. Find dA/dr and d2A/dr2.
d. Find the value for r for which there is a stationary value of A.
e. Determine the magnitude and nature of this stationary value.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 36% (11 reviews)
a To find an expression for in terms of r we need to use the fact that the length of the wire is equ...View the full answer
Answered By
Shubham bhadola
As a tutor, I have had the opportunity to work with students of various ages and skill levels, and I find the experience to be rewarding and fulfilling. When working with students, I try to create a comfortable and welcoming learning environment where they feel encouraged to ask questions and participate actively in their own learning.
One of the most important aspects of my role as a tutor is understanding each student's unique learning style, strengths, and weaknesses. This allows me to tailor my teaching approach to best support their individual needs and goals. I work to create lesson plans and activities that are engaging and relevant, and I incorporate different teaching methods to appeal to a variety of learning styles.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
A steel rod is bent to form a mounting bracket. For each of the mounting brackets and loading shown, determine the reactions at A and B.
-
A piece of wire is bent to form a circle with radius r. It has a steady current I flowing through it in a counterclockwise direction as seen from the top (looking in the negative z direction)....
-
A thin plate of thickness t is bent to form the beam having the cross section shown. Determine the location of the shear center O.
-
Suppose x = e y . Compute the value of y, given the following values of x: (a) x = 2 (b) x = 3 (c) x ~ 1.5 (d) x 3 (e) x = .5 (f) x = .002 (g) x = 10 (h) x = 1
-
Which of the following electron configurations are possible? Explain why the others are not. a. 1s12s22p7 b. 1s22s22p63s33d7 c. 1s22s22p5 d. 1s22s22p63s23d8
-
The Heartland Distribution Company is a food warehouse and distributor that has a contract with a grocery store chain in several Midwest and Southeast cities. The company wants to construct new...
-
A car is sold for $15,000 on June I, 2005, with a one-year warranty on parts. Warranty expense is estimated at 1.5% of selling price at each calendar year-end. On March I, 2006, the car is returned...
-
Tifton & Co. had the following cash transactions during the current year: Proceeds from issuance of common stock ........ $400,000 Payment of dividends .................. 100,000 Payment for purchase...
-
Question Watch Video What is an equation of the line that passes through the point (-4, 4) and is perpendicular to the line 4x-5y = 10?
-
Balance a ration for a milking dairy cow to contain: CP = 16 % Ca = .66 % P= .41 % 27 % Corn Silage Feed Feed Feed 23 % Alfalfa 5 % Brewers Grains Feed 3 % Whole Cotton Seed Leave 2% slack space for...
-
Find the gradient of the curve y = 8/(x 2) 2 at the point where the curve crosses the y-axis.
-
The curve y = x 3 + ax + b has a stationary point at (1, 3). a. Find the value of a and the value of b. b. Determine the nature of the stationary point (1, 3). c. Find the coordinates of the other...
-
What matrix corresponds to differentiation in each case? D: P3 P2
-
Management of Hill Company has decided not to account for a material transaction in accordance with the provisions of an FASB Standard. In setting forth its reasons in a note to the financial...
-
Consider two countries that trade heavily with one another Cornsylvania and Techoland. The national currency of Cornsylvania is the cob, while the Techoland national currency is the byte. The output...
-
Multinationals are headquartered in one country but have operations worldwide. Generally, each multinational pays income taxes in the jurisdiction in which it generates its profits. For example, a...
-
In the Sumet Company, two employees were terminated for falsifying their time records. The two employees had altered overtime hours on their time cards after their supervisors had approved the hours...
-
The following questions relate to the expenditures, payables, disbursements cycle. Select the best response. a. Which of the following is a primary function of the purchasing department? 1....
-
Analyze and assess the privacy implications of the spread of unmanned aerial vehicles (UAV) in Canada. 1. What are the main technical technological drivers behind the UAV revolution? 2. Explain how...
-
Refer to the information from Exercise 22-19. Use the information to determine the (1) Weighted average contribution margin , (2) Break-even point in units, and (3) Number of units of each product...
-
Why are items such as the hull, engine, transmission, carpet, and seats classified as direct materials and items such as glue, paint, and screws classified as indirect materials?
-
Provide two examples of selling costs and two examples of general and administrative costs at PepsiCo.
-
Describe the three inventory accounts used to record product costs.
-
On 1 January 20.1 SA Traders purchased office furniture for R80 000. The financial year-end of SA Traders is 31 December.Calculate the accumulated depreciation for 20.3 by using the reducing-balance...
-
Customs agents are on the lookout for situations where the value of the transaction (invoice value) may not represent the true value of goods being imported. Identify the 3 situations most likely to...
-
Iverson, Inc. has $1,294,000 of sales revenue, $692,000 of variable costs, and $692,000 of fixed costs in 2023. Assuming the contribution margin percentage stays the same in 2024, what will the break...
Study smarter with the SolutionInn App