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 book-img-for-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,...
If investors are well diversified (e.g., own several hundred stocks), will they have a greater or lesser need for accounting information? What does this say about diversification?
Provide a two-dimensional scatter plot, using variables of your choice, with an overlay of cluster membership. Choose variables that result in an interesting plot. Note where the cluster boundaries...
The Chief Financial Officer of Eaton Medical Devices has determined that the firm's capital investment budget will be $5,000,000 for the upcoming year. Unfortunately, this amount is not sufficient to...
Jelved 1. Which component would allow a large company to record the purchase of a $120 printer as an expense rather than capitalizing the printer as an asset? Donald Kirk, former chairman of the...
First find and then find .
First find and then find .
Evaluate the following integrals using the Fundamental Theorem of Calculus. Sketch the graph of the integrand and shade the region whose net area you have found. .5 (x 9) dx
PAYMENTS DURING 2022/23 DATE DESCRIPTION FULL YEAR Private Hospital Insurance Premiums FULL YEAR Childcare costs FULL YEAR FULL YEAR FULL YEAR 18/08/22 27/08/22 01/09/22 01/10/22 01/11/22 01/12/22...
been called Recently, s asked to hington, ent of the in areas: g costs, and pany's a simple 12. The Tru-Green Lawn Company provides yard care services for customers throughout the Denver area. The...
During the week of November 12, 2021, Ernestina Manufacturing produced abd shipped 7,500 units of its aluminum wheels: 1,500 units of Model A and 6,000 units of Model B. The following costs were...
Daicos Ltd is a public company that competes in the highly competitive market for manufactured household products. The company is dominated by Peter Daicos, the chairman and chief executive officer,...
Hypothesis testing A tire company claims that a new range on average lasts at least 28,000 km. Tests with 64 tires result in an average duration of 27,800 km. With a standard deviation of 1,000 km....
For the ceramic material described in Example 11.7, calculate (a) The porosity of the dried part if the porosity of the fired part is to be 9% and (b) The initial length, L", of the part if the...
What are the risks and liability factors in an audit? What are the implications to the auditor? What are the implications to the organization? How can the auditor mitigate these risks and liability...
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
Saly paid $52,000 a year paid on a weekly basis. last pay she had $250 withheld in Income Tax, $48.97 for CPP and $15.80 for EI. an additional $and 25.00 in tax are deducted each pay. She allowed to...
Required information [The following information applies to the questions displayed below.] Dain's Diamond Bit Drilling purchased the following assets this year. Asset Drill bits (5-year) Drill bits...
Which of the following partnership items are not included in the self-employment income calculation? Ordinary income. Section 179 expense. Guaranteed payments. Gain on the sale of partnership...

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