The tangent to the curve y = 8x x 2 at the point (2, 12) cuts

Question:

The tangent to the curve y = 8x − x² at the point (2, 12) cuts the x-axis at the point P.
a. Find the coordinates of P.
b. Find the area of the shaded region.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 11, 2023 06:12 AM

See More Questions

The tangent to the curve y = 3x 2 10x 8 at the point P is parallel to the line y = 2x 5. Find the equation of the tangent at P.
The tangent to the curve y = 6x x 2 at the point (2, 8) cuts the x-axis at the point P. a. Find the coordinates of P. b. Find the area of the shaded region. (2, 8) y = 6x x 2 10 6
(a) Find the slope of the tangent to the curve y = 2/(x + 3) at the point where x = a. (b) Find the slopes of the tangent lines at the points whose x-coordinates are (i) , (ii) 0, and (iii) 1.
Lamonda Corp. uses a job order cost system. On April 1, the accounts had the following balances: The following transactions occurred during April: (a) Purchased materials on account at a cost of...
1. As a future accounting professional, which phase of the SDLC are you least likely to be involved in? a. Build b. Requirements analysis c. Operations/maintenance d. Test 2. If a system does poorly...
In what forms can knowledge be represented in our mind?
What is disaggregated financial information? LO3
W. W. Grainger, headquartered in Skokie, Ill., is one of the nations largest wholesalers, with more than 600 branch locations. The company sells mainly industrial products such as electric motors,...
Required: 1.1 Calculate below the amounts for each of these four taxes of Regis Company. Regiss state unemployment tax rate is 5.4% of the first $7,000 paid to each employee. The federal unemployment...
A small high-end swimwear manufacturer needs to plan for next year. Demand for swimwear (in units) follows a seasonal pattern: a. Determine the unit costs. b. Determine how many units the company...
The diagram shows part of the curve The shaded area is rotated through 360 about the x-axis between x = 0 and x = p. Show that as p , the volume approaches the value 2. y = 2 2x+1
The diagram shows the curve y 2 = 2x 1 and the straight line 3y = 2x 1. The curve and straight line intersect at x = 1/2 and x = a, where a is a constant. i. Show that a = 5. ii. Find, showing all...
Describe the characteristics you would expect to find in JCPenneys target market(s), as compared with those in Apples target market(s)?
Matthew Kennedy of Urbana, Ohio, is single and has been working as an admissions counselor at a university for five years. Matthew owns a home valued at $250,000 on which he owes $135,000. He has a...
Question: A group of employees of Unique Services will be surveyed about a new pension plan. In-depth interviews with each employee selected in the sample will be conducted. The employees are...
On January 1, 2020, the following accounts appeared in the general ledger of Ace's Repair Shop: Cash P10,500 Accounts receivable 8.400 Furniture 12,600 Repair Equipment 54,000 Accounts Payable 22,000...
Your maths problem x+3x-3 Find solutions on the web Q +1 XII
5. Data for the payroll for the Dos Company for the month of April are shown below: Total gross earnings Social security taxes withheld Phil Health taxes withheld Employees income tax withheld...
Solve by Laplace Transforms w w 3D 1, w(0, t) %3D 1 , w(x, 0) at
Huntingdon Capital Corp. is a competitor of Plazacorp and First Capital Realty. Huntingdon reported the following selected information (in millions):...
Based on your answers to Problems 8.85 and 8.86, compare mean full-scale IQ between the exposed and the control groups, after the exclusion of outliers? Environmental Health, Pediatrics Refer to...
Refer to Data Set FEV.DAT at www.cengagebrain.com . Assess whether there are any outliers in FEV for the following groups: 5- to 9-year-old boys, 5- to 9-year-old girls, 10- to 14-year-old boys, 10-...
What is the standard error of ln(ERG amplitude) among patients with dominant RP? How does it differ from the standard deviation in the table? Ophthalmology A study compared mean electroretinogram...
Which of the following concerning short-term financing methods is NOT CORRECT? Short-term bank loans typically do not require assets as collateral. Firms generally have little control over the level...
Kingbird Corporation is preparing its December 31, 2017, balance sheet. The following items may be reported as either a current or long-term liability. 1. On December 15, 2017, Kingbird declared a...
BE13.2 (LO 1), AP An inexperienced accountant for Silva Corporation showed the following in the income statement: net income \$337,500 and unrealized gain on availablefor-sale securities (before...

The tangent to the curve y = 8x x 2 at the point (2, 12) cuts

Question:

P YA (2, 12) y = 8x-x² X

Step by Step Answer:

a To find the coordinates of P we need to first find the equation of th...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions