The diagram shows part of the curve with equation y = p + 10x x 2
Question:
The diagram shows part of the curve with equation y = p + 10x − x2, where p is a constant, and part of the line l with equation y = qx + 25, where q is a constant. The line l cuts the curve at the points A and B. The x-coordinates of A and B are 4 and 8 respectively. The line through A parallel to the x-axis intersects the curve again at the point C.
a. Show that p = −7 and calculate the value of q.
b. Calculate the coordinates of C.
c. The shaded region in the diagram is bounded by the curve and the line segment AC. Using integration and showing all your working, calculate the area of the shaded region.
Transcribed Image Text:
YA A C B y=p+10x-x² D y =qx + 25 X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
a The points A4 y 1 and B8 y 2 lie on the line y qx 25 and the parabola y p 10x x Therefore the coor...View the full answer
Answered By
Ankit Jangra
Career Summary: Over twenty five years of teaching experience, more than half of which in Engineering subjects and a significant half in MBA entrance level exams. Here is a short gist.
Work Experience: Alumni of a national institute of technology in computer science and an IIM (a prestigious management institute in India and globally) call getter (98.7 percentile).
Had also been a project guide on one occasion for a Engineering final year project in designing a Network Intrusion Detection System, an advanced firewall mechanism that dealt with network security. Have also designed many software projects from games to online payment to network data transfer format and interchange.
Have also written three university level text book notes on C and Data Structure, Digital circuits and Engineering Mathematics.
Had been teaching and mentoring MBA aspirants in reputed institutes of the country.
Associated with an academy for the last seven years teaching subjects like Aptitude, C and Data Structure, Analysis of Algorithm, Operating System, Digital Circuits for post graduate entrance exams and also had the privilege of being a guest lecturer in many government universities across the country.
Computer Literacy: Have detailed and intricate and extensive knowledge of Core Java, Enterprise Java, React, Spring Framework, Hibernate, LDAP (server directory structure) and Scala Actor System and Databases like MySql, Mongodb, PostgreSql. Teaching Java fundamentals from basic to advanced, from Java Memory model to Reference objects, to UTC Date Time format, to responsive Java, to design patterns, to JUnit test, to ForkJoin thread pool, only a few samples to count. Only recently, (for academic interest) designed a Json converter (Json to Java object and vice versa) from scratch like Jackson, for mongoDB application. Also designing web applications both front and backend, with knowledge of React, HTML, CSS, Javascript. Have been teaching Java for more than seven years.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
The diagram shows part of the curve with equation y = x 12x + 36x. The x-axis is a tangent to the curve at P. a) Find the coordinates of P. The curve has a maximum turning point at Q. b) Find the...
-
The diagram shows part of the curve with equation y = x 3 6x 2 + 9x. The curve touches the xaxis at A and has a local maximum at B. a. Show that the equation of the curve may be written as y = x(x ...
-
The diagram shows part of the curve with equation y = 3 + 5x + x 2 x 3 . The curve touches the x-axis at A and crosses the x-axis at C. The points A and B are stationary points on the curve. a. Show...
-
At December 31, 2020, the following information was available for Tai Lin Goods: ending inventory HK$400,000, beginning inventory HK$580,000, cost of goods sold HK$2,842,000, and sales revenue...
-
Howard Plastics produces plastic containers for use in the food packaging industry. Last year its average monthly production included 20,000 containers produced using one shift five days a week with...
-
The comparative balance sheets of Bedford Movie Theater Company at November 30, 2021 and 2020, reported the following: Bedfords transactions during the year ended November 30, 2021, included:...
-
When does a party have an automatic right to amend a pleading?
-
A mathematical programming system named SilverScreener uses a 0-1 integer programming model to help theater managers decide which movies to show on a weekly basis in a multiple-screen theater...
-
1. why does Amazon use ERP system? How does ERP system work for Amazon? what are the benefit and drawbacks of using ERP for Amazon? 2. what are 5 industry best practices across Finance,...
-
Looking for the excel function in Yellow on Q9 Question 9 Annual 3.000% Semi-Annual 3.022% Quarterly 3.034% Monthly 3.042% 4 points Question 10 14.2 14.2 4 points 9) After reviewing the compounding...
-
a. Draw an accurate graph of y = (1.7) x , for 4 x 4. b. Use your graph to solve the equation (1.7) x = 4.
-
Use a calculator to find the value of e x to 4 decimal places when a. x = 1 b. x = 4 c. x = 10 d. x = 0.2
-
Reconsider Prob. 18-94. The space heating provided by this cogeneration plant will replace natural gas heating. How much money does this plant make by selling geothermal heat at a discount rate of 25...
-
Vaughn Corporation made credit sales of $39,600 which are subject to 5% sales tax. The corporation also made cash sales which totaled $16,905 including the 5% sales tax. (a) Prepare the entry to...
-
CST-210 Slot Machine Code Analysis The purpose of this assignment is to assess your ability to do the following: Model software objects with UML diagrams (utilize abstraction in software design)....
-
Q2. The phase impedances of an unbalanced three phase star connected load Z = 15 230 0, Z, = 20/45 0 and Z = 20/60 Q. The zero, positive and negative sequence components of the phase currents are lo...
-
In Carla Vista Company, the predetermined overhead rate is 80% of direct labor cost. During the month, $219000 of factory labor costs are incurred, of which $186000 is direct labor and $33000 is...
-
Refer to sources D and E below to answer the following questions: i. How would these sources help a history student who has been asked to use primary sources in explaining what it was like to serve...
-
How does unemployment insurance help reverse the downward spiral of unemployment? Why is unemployment insurance called an automatic stabilizer?
-
What is the back work ratio? What are typical back work ratio values for gas-turbine engines?
-
Obtain the measurement-error-corrected logistic regression coefficient and standard error for each of the hormones in Table 13.51? The hormones in Table 13.51 were also included in the...
-
Obtain the uncorrected logistic-regression coefficients and standard errors for each of the hormones in Table 13.51? Cancer, Endocrinology In the study presented in Example 13.75 (p. 748), other...
-
Compare the measurement-error-corrected RR and CI in Problems 13.70 and 13.71 with the uncorrected RR and CI in Problem 13.68? Cancer, Nutrition A logistic-regression analysis similar to that...
-
It has been noted that marketers need to target specific customer groups on the basis of the firm's perceived ability to satisfy the needs of those groups. In an era of experiential marketing, there...
-
Choose an item on Amazon or any ecommerce platform ( provide a link of the product ) . Which of the 5 C's discussed in pricing do you think has the biggest impact on the price selection ?
-
4. A prism with a cross section like an isosceles right triangle is made from a material with index of refraction, n = 1.33. Find the incident angle, 0, such that the refracted ray inside the prism...
Study smarter with the SolutionInn App