A curve has equation y ln(x 2 2) x 2 2 Find the approximate change in y as x increases from 3 to 3 p, where p is small ...

i To find the equation of the normal at point A we first need to find the slope of the ...

A curve has equation y = ln(x 2 2)/x 2 2. Find the approximate change

Question:

A curve has equation y = ln(x² – 2)/x² – 2.

Find the approximate change in y as x increases from √3 to √3 + p, where p is small.

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

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 02, 2021 12:50 AM

See More Questions

A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(3, f(3)) and Q(x, f(x)). (b) Write an expression for the slope of the tangent line at P.
A curve has equation y = x 5 5x 3 + 25x 2 + 145x + 10. Show that the gradient of the curve is never negative.
In Mark A. Cohen, The Costs and Benefits of Oil Spill Prevention and Enforcement, Journal of Environmental Economics and Management Vol. 13 (June 1986), an attempt was made to quantify the marginal...
The volume occupied by a gas depends linearly on degrees Celsius at constant pressure, but it is not directly proportional to degrees Celsius. However, it is directly proportional to kelvins. What is...
The Diversified Portfolio Corporation provides investment advice to customers. A condensed income statement for the year ended December 31, 2011, appears below: The following balance sheet...
Proton 1 , traveling in the negative $x$ direction at speed $v_{1}$, is directly below proton 2 , which is traveling at speed $v_{2}$ at an angle of $45^{\circ}$ above the positive $x$...
Project managers must not only calculate variances but also determine the root cause of the variance. Some variances may be allowable while others must be explained together with a corrective plan...
1. Letter of the word INDIANOIL are arranged in all possible ways. The number of permutations in which A, I, O occur only at odd places, is : (a) 720 2. (b) 360 (c) 240 (d) 120 How many different...
Name the soil taxonomy category and discuss the engineering implications of these soil taxonomy classes: Aquic Paleudults, Fragiudults, Haplusterts, Saprists. and Turbels.
The point A, where x = 0, lies on the curve y = ln(4x 2 + 3)/x-1. The normal to the curve at A meets the x-axis at the point B. i. Find the equation of this normal. ii. Find the area of the triangle...
Variables x and y are such that y = (x -3) ln(2x 2 + 1). i. Find the value of dy/dx when x = 2. ii. Hence find the approximate change in y when x changes from 2 to 2.03.
The Kit Company borrows $5 million at 12% on January 1, 2007 specifically for the purpose of financing a construction project. The company invests the total amount at 11% until it makes payments for...
Amazon is arguably the leader in Warehousing volume and innovation, with 45,000 robots, thanks to its acquisition of Kiva Robotics, but still maintaining a warehousing human workforce of 200,000. For...
Explain why we can use $ 0 . 8 6 9 8 per unit for variable OH without recalculating it ?
A garage service manager has authorized $535 to be spent on overtime to complete a job. If the overtime pay is $26.75 above the normal hourly pay rate, how many hours of overtime were authorized?
1.50 x 1020 electrons flow through a cross section of a 4.10-mm-diameter iron wire in 6.00 s. Part A What is the electron drift speed? 1 m/s
Rankin, the comptroller of Lazy, Inc. has been embezzling funds from his employer for many years, To date, he has taken almost $5,000,000. In view of the fact that Rankin will have to repay this to...
Let The computed solution using two-digit decimal floating-point arithmetic is x = (1.1.0.88)T. Without computing the exact solution, use the results from parts (a) and (b) to obtain bounds for the...
Determine whether the lines are parallel, perpendicular, or neither. 2x + 3y = -12, 2y - 3x = 8
On what basis did the Supreme Court in Eisner v. Macomber decide that stock dividends are non-taxable?
What is the significance of a constructive dividend?
Explain the importance of the distinction between alimony and a property settlement.
CJ Stores has current cash-only sales of 218 units per month at a price of $236.55 a unit. If it switches to a net 30 credit policy, the credit sales price will be $249 while the cash price will...
As a health care practitioner, what impact would the course of cultural competency in health care, in its entirety, have on you?
Jacob, a professional heavyweight boxer, delivers a forceful punch with his fist and arm, combining for an effective punching mass of 2 . 5 6 kg . His fist strikes a heavy bag at a velocity of 9 . 1...

A curve has equation y = ln(x 2 2)/x 2 2. Find the approximate change

Question:

Step by Step Answer:

i To find the equation of the normal at point A we first need to find the slope of the ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions