a. Show that d/dx(x ln x) = 1 + ln x. b. Use your result from part

Question:

a. Show that d/dx(x ln x) = 1 + ln x.

b. Use your result from part a to evaluate 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 IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 06, 2021 01:20 AM

See More Questions

The area of the shaded region under the curve y = 2 sin 2x in (a) equals the area of the shaded region under the curve y = sin x in (b). Explain why this is true without computing areas. y, y = 2...
The area of the shaded region under the curve on the interval [4, 9] in (a) equals the area of the shaded region under the curve y = x 2 on the interval [1, 2] in (b). Without computing areas,...
Find the area of the shaded region under the standard normal curve. If convenient, use technology to find the area.
The following data represent the concentration of dissolved organic carbon (mg/L) collected from 20 samples of organic soil. Assume that the population is normally distributed. Complete parts (a)...
Balance the following equations. a. Sn + NaOH Na2SnO2 + H2 b. Al + Fe3O4 Al2O3 + Fe c. CH3OH + O2 CO2 + H2O d. P4O10 + H2O H3PO4 e. PCl5 + H2O H3PO4 + HCl
Custom Vans, Inc., specializes in converting standard vans into campers. Depending on the amount of work and customizing to be done, the customizing can cost less than $1,000 to more than $5,000. In...
Consider a seven-year fair market value lease for a $$12.5$ million Gulfstream jet with a remaining useful life of 10 years. Suppose the monthly lease payments are $$175,000$ and the appropriate...
Comparison of Regression Equations Friendly Bank is attempting to determine the cost behavior of its small business lending operations. One of the major activities is the application activity. Two...
(d) Define Floating-point representation, Truncation error, and Global error with examples.
Constructing a distribution of demand during reorder lead time is complicated if the lead time itself is variable. Consider the following distribution for a reorder point inventory system. a. What is...
A curve is such that d 2 y/dx 2 = 12x 12. The gradient of the curve at the point (2, 9) is 8. a. Express y in terms of x. b. Show that the gradient of the curve is never less than 2.
a. Find the quotient and remainder when 4x2 + 4x is divided by 2x + 1. b. Hence show that 4x2 + 4x dx = 2 -In 3. o 2x +1 2.
An experiment is conducted with a Joule apparatus (see Fig. 14.2). The hanging objects descend through a distance of 1.25 m each time. After 30 descents, a total of 1.00 kJ has been delivered to the...
Given the code below: public class CmdLine { public static void main(String[] args) { String str = ""; } str = args[0] + args[1] + args[2]; System.out.print(str); } What is the output of the...
Nestor accounts for production using weighted-average process-costing. Nestor adds all materials at the beginning of production, while conversion costs occur evenly throughout the production process....
During the tax season, every Friday, the J&J accounting firm provides assistance to people who prepare their own tax returns. Their charges are as follows: a. If a person has low income (
2D crystal A3B (blue for A and yellow for B) is shown in the following figure. 1. Can you find 6-fold rotational symmetry? Can you find mirror symmetry? If yes, plot one rotation center/mirror line....
The following financial data were adapted from recent financial statements for Zircon, Inc.: Sales $26,600 Operating assets: Property, plant, and equipment 17,500 Intangibles 1,700. Calculate the...
Prove that any nonempty subset of a linearly independent set of vectors {v1, ..., vn} is also linearly independent.
Evaluate each logarithm to four decimal places. log 0.257
Sally is an attorney who computes her taxable income using the cash method of accounting. Sage Corporation, owned 40% by Sallys brother, 40% by her cousin, and 20% by her grandmother, uses the...
During the current year, CVI Corporation sells a tract of land for $75,000. The sale is made to Sandi, CVI Corporations sole shareholder. CVI Corporation originally purchased the land five years...
Rachel Schurtz is a high school English teacher. In her spare time, she likes to make her own body lotion, lip gloss, and bath and shower gel. She uses the bath products herself and gives them to her...
This year, Company ABC purchases Class 8 (20%) Assets for $20,000, what is the maximum CCA for this year?
How is this information calculated from the available data? PV of Planning Period PV of Terminal Value Implied Ent Value Debt Implied Equity Value # of Shares Implied Share Price in EUR Implied Share...
A. On November 6, 2020 (Friday), you sold $120,000 of the following Treasury note: Maturity Coupon Bid 8/31/202 0.250 99.1660 5 Asked 99.1720 Compute the accrued interest and invoice (dirty or full)...

a. Show that d/dx(x ln x) = 1 + ln x. b. Use your result from part

Question:

y = In x

Step by Step Answer:

a To find the derivative of x ln x we use the product rule d...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions