PQRS is a rectangle with base length 2p units and area Aunits 2 . The points P
Question:
PQRS is a rectangle with base length 2p units and area Aunits2.
The points P and Q lie on the x-axis and the points R and S lie on the curve y = 9 − x2.
a. Express QR in terms of p.
b. Show that A = 2 p (9 − p2) .
c. Find the value of p for which A has a stationary value.
d. Find this stationary value and determine its nature.
Transcribed Image Text:
And P YA 0 2p units R Q y=9-x² X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
a Since P and Q lie on the xaxis their ycoordinates are both 0 Similarly since R and S lie on the cu...View the full answer
Answered By
Krishnavendra Y
I am a self motivated financial professional knowledgeable in; preparation of financial reports, reconciling and managing accounts, maintaining cash flows, budgets, among other financial reports. I possess strong analytical skills with high attention to detail and accuracy. I am able to act quickly and effectively when dealing with challenging situations. I have the ability to form positive relationships with colleagues and I believe that team work is great key to performance. I always deliver quality, detailed, original (0% plagiarism), well-researched and critically analyzed papers.
5.00+
4+ Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Determine whether the points P and Q lie on thegiven surface. r ( u , v ) = u + v , u 2 - v , u + v 2 P ( 4 , 2 , 6 ) Q ( 5 , 1 , -11 ) 1 P and Q are on thesurface. P is on the surface, but Q is...
-
Determine whether the points P and Q lie on the given surface. r(u, v) = (u + v, u - 2v, 3 + u - v) P(4, -5, 1), Q(0, 4, 6)
-
Determine whether the points P and Q lie on the given surface. r(u, v) = (1 + u - v, u + v 2 , u 2 - v 2 ) P(1, 2, 1), Q(2, 3, 3)
-
A 2-in dia. steel bar is subjected to the loading indicated. Locate and estimate the maximum shear stress in the weld throat. F T____ 2 ...... kips 15 kip ·in 6 in in 2-in dia.
-
The text mentionedin the context of discussing packaging ethicsthat an ethical infraction may occur when marketers package store brands so that they look virtually identical to well-known national...
-
On 1 January, the Stamping Department of Pressed Panels Ltd had no work in process inventory due to the implementation of a just-in-time inventory system. On 31 January, the following journal entry...
-
What is the velocity ratio of the second system of pulleys ?
-
Warsaw Signal Company specializes in predicting price movements in the soybean market. On November 1, 2011, it was convinced that soybean prices were too low. Accordingly, Warsaw entered into futures...
-
A company has established that the relationship between the sales price for one of its product and the quantity sold per month is approximately p = 75 - 0.1D units (D is the demand or quantity sold...
-
Have the gains in student learning attributed to education technology justified colleges spending in this area? As part of Inside Higher Eds 2016 Survey of Faculty Attitudes on Technology,...
-
A farmer divides a rectangular piece of land into 8 equal-sized rectangular sheep pens as shown in the diagram. Each sheep pen measures xm by ym and is fully enclosed by metal fencing. The farmer...
-
The diagram shows the graph of 3x + 2y = 30. OPQR is a rectangle with area Acm 2 . The point O is the origin, P lies on the x-axis, R lies on the y-axis and Q has coordinates (x, y) and lies on the...
-
Mason Phillips, age 45, and his wife, Ruth, live at 230 Wood Lane, Salt Lake City, l.T 84101. Masons Social Security number is 111-11-1111. Ruths Social Security number Is 123-45-6789. Mason and Ruth...
-
List and describe two ways (one for demand and one for supply) to address positive consumption externality. How would they be effective? What are the two possible "cons" of these 2 ways?
-
There are many variables that are important in economic theory but are unobserved. Give an example of an unobserved economic variable which is important for policy decisions.
-
Using one or more search strategies, identify a minimum of three (3) different collaborative technologies (email, discussion forums, blogs, chats, IMs) that can be used to solve a software problem...
-
The graphs below show the production possibility frontiers (PPFS) of Carolinia and Brodenstan, two countries that produce only coffee and bread. Initially-before specialization and trade-Carolinia...
-
If a product has four features, and each feature takes on four different values, how many alternatives (i.e., different feature-combinations for the product) would you need to present customers with?
-
Find an example of an ad or campaign that you think reflects one of the approaches used to develop a creative theme such as unique selling proposition, brand image, inherent drama, or positioning....
-
Design a circuit which negative the content of any register and store it in the same register.
-
Answer Problem 5.21 for a nonsmoking man? Some people are not functionally impaired now, but their pulmonary function usually declines with age and they eventually will be functionally impaired....
-
What is the probability that a 45-year-old man with an FEV of 4.0 L will be functionally impaired by age 75? Pulmonary Disease Forced expiratory volume (FEV) is an index of pulmonary function that...
-
Answer Problem 5.23 for a 25-year-old man with an FEV of 4.0 L? Pulmonary Disease Forced expiratory volume (FEV) is an index of pulmonary function that measures the volume of air expelled after 1...
-
Why does the coupon bond price suddenly drop after a coupon payment?
-
DANELLA DANCE studios is evaluating the purchase of new sound equipment that will increase the probability of your aerobic dances. The equipment will cost $28,000. Danells is not sure how many...
-
In your initial post of including references in APA , describe three ways in which data are used in business functions. Use one way data is used in Accounting, one way in Marketing and one way in...
Study smarter with the SolutionInn App