Show that G(x) 3x 2 sin x is not an antiderivative of (x) 6x cos x but H(x) 6x sin x 6 cos x is ...

Let Gx 3x sin x Then Gx 6x sin x 3x cos x 6x ...

Show that G(x) = 3x 2 sin x is not an antiderivative of (x) = 6x cos

Question:

Show that G(x) = 3x² sin x is not an antiderivative of ƒ(x) = 6x cos x but H(x) = 6x sin x + 6 cos x is.

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

Step by Step Answer:

Related Book For answer-question

Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

See More Books

Question Posted: Nov 26, 2023 03:09 AM

We demonstrate that, in general, you cannot obtain an antiderivative of a product of functions by taking a product of antiderivatives of each. Show that G(x) = 4x 2 ( cos x) is not an antiderivative...
As a job counselor, you often screen clients before referring them to potential employers. One employer has never hired a person of color based on your referral. Why might you continue to refer...
Using the proof of Theorem 32.11, show that the regular 9-gon is not constructible. Data from Theorem 32.11 Trisecting the angle is impossible; that is, there exists an angle that cannot be trisected...
On October 1, 2020, Berlin Corp. purchased 250, $ 1,000, 9% bonds for $ 260,000. An additional $ 7,500 was paid for the accrued interest, which is paid semi-annually on December 1 and June 1. The...
What factors influence Harry Davis composite WACC? During the last few years, Harry Davis Industries has been too constrained by the high cost of capital to make many capital investments. Recently,...
Dodge, CPA, is auditing the financial statements of a manufacturing company with a significant amount of trade accounts receivable. Dodge is satisfied that the accounts are correctly summarized and...
Briefly discuss the strengths and limitations associated with this approach and the specific design . Develop a hypothetical research scenario that would necessitate the use of the Action Research...
Ron Garcia felt good about his first week as a management trainee at Mexicana Wire Winding, Inc. He had not yet developed any technical knowledge about the manufacturing process, but he had toured...
What is immediate, up-to-date information? What is Real-time systems Information governance?
First find and then find .
First find and then find .
At the beginning of September 2014, Stojanovic Distributing Company's ledger showed Cash $12,500, Merchandise Inventory $7,500, and D. Stojanovic, Capital, $20,000. During the month of September, the...
The academic differences between tort and contract may arguably be consolidated into a single law of obligation Critically discuss with reference to decided cases.
Your firm is contemplating the purchase of a new $440,000 computer-based order entry system. The system will be depreciated straight-line to zero over its 6-year life. It will be worth $39,000 at the...
What is the human resource management approach as it relates to industrial relations what is the difference between the human resource approach and the human resource management approach
CASE STUDY RECRUITMENT AND SELECTION ABC Computers Solution is Addis Ababa based company having a countrywide network. It is considered as a leading software & hardware supply company having a...
Sevall Inc's Mexican Subsidiary, Cancunrocks, is expected to pay Sevall 1 Peso per share in 1 year after all foreign and US taxes have been accounted for. The exchange rate in 1 year is expected to...
How do IFRS and U.S. GAAP differ with respect to the classification of debt that is expected to be refinanced?
Refer to the information from Exercise 22-19. Use the information to determine the (1) Weighted average contribution margin , (2) Break-even point in units, and (3) Number of units of each product...
If r(t) = t i + t2 j + t3 k is the position vector for a moving particle at time t, find the tangential and normal components, aT and aN, of the acceleration vector at t = 1.
Let a = (2, -5), b = (1, 1), and c = (-6, 0). Find each of the following: a. 3a - 2b b. a b c. a (b + c) d. (4a + 5b) 3c e. ||e||e b f. e e - ||c||
For each equation in Problems a-c, name and sketch the graph in three-space. a. x2 + y2 = 81 b. x2 + y2 + z2 = 81 c. z2 = 4y
During the month of October, Loyal Co. completed the following business transactions: Oct. 1 3 5 8 11 11 12 15 26 27 Purchased merchandise from Juan Co. P9,000 with terms 2/10, n/ 30 Invoice no. 0489...
Given table below answer the questions. Beginning inventory Merchandise Finished goods Cost of merchandise purchased Cost of goods manufactured Ending inventory Merchandise Finished goods Unimart...
You are provided with the following data. Sales Variable costs: $ 16,528 Direct Materials Direct Labor Manufacturing Overhead Variable selling Variable administrative sssss $ 1,764 $ 2,587 $ 952 $...

Show that G(x) = 3x 2 sin x is not an antiderivative of (x) = 6x cos

Question:

Step by Step Answer:

Let Gx 3x sin x Then Gx 6x sin x 3x cos x 6x ...View the full answer

Calculus

Students also viewed these Mathematics questions