Show that the function f(x) = 4 x (2x 2 + 3) is decreasing for all

Question:

Show that the function f(x) = 4 − x (2x² + 3) is decreasing for all x ∈ R.

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

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 16, 2023 12:21 AM

See More Questions

Show that for every n N, we have 2" > n. b) Deduce that if S be a subset of IN with the following properties i) 2 S for every n N ii) If n S for some n 2 then n - 1 S, then S = N. c) Show that 1 + 2...
Show that the function f defined by f (x) := x = x/x2 + 1; x R, is a bijection of R onto {y : 1 < y < 1}.
Show that the function f (x) = ax + b from R to R is invertible, where a and b are constants, with a 0, and find the inverse of f.
The following are some transactions of Surendal Company for 2024. Surendal Company uses straight-line depreciation and has a December 31 year end. Apr. 1 Retired a piece of equipment that was...
Microsoft develops, produces, and markets a wide range of computer software, including the Windows operating system. On its recent financial statements, Microsoft reported the following information...
Chitika, Inc. provided online tracking tools on websites. When consumers clicked the opt-out button, indicating that they did not want to be tracked, they were not for ten days. After that, the...
This appeal involves the validity of a will executed in contravention of an earlier contract to make mutual wills. A husband and wife signed a contract to make mutual wills and then executed those...
Tiffany Martin is an audit manager in a medium-sized public accounting firm. Tiffany graduated from college seven years ago with a degree in accounting. She obtained her CPA certification soon after...
Discuss how a good understanding of the state of the economy might help you make better decisions. Discuss how much of a role you think a government should play in a market system. Explain how you...
Given that y = (2x 3) 3 , find the value of x when d 2 y/dx 2 = 0.
Find the coordinates of the point where the tangent to the curve y = x 2 + 1 at the point (2, 5) meets the normal to the same curve at the point (1, 2).
Fifteen years ago, roop industries sold $400 million of convertible bonds. the bonds had a 40-year maturity, a 5.75% coupon rate, and paid interest annually. they were sold at their $1,000 par value,...
You are given the following information concerning options on a particular stock: Stock price = $81 Exercise price = $65 Risk-free rate = 5% per year, compounded continuously Maturity = 8 months...
A particle with an initial vertical height h is launched horizontally from the edge of a wall with an initial velo- city of vo. The particle enters a fixed tube with a length x. Inside the tube, the...
Within the Perlmutter's staffing approaches, what are some scholar academic papers that show different opinions of the disadvantages and advantages of these approaches. Long explanation needed and...
Employee Handbook Contents: Much of what is followed in terms of compliance and processes is outlined in the organization's Employee Handbook. Using the Internet, research a listing of what areas...
Your class decides to publish a calendar to raise money. The initial cost, regardless of the number of calendars printed, is $650. After the initial cost, each calendar costs $1.50 to produce. What...
What do the following have in common? MOM; POP; NOON; MADAM, IM ADAM; A MAN, A PLAN, A CANAL: PANAMA.
1. Following are information about Alhadaf Co. Cost incurred Inventory Purchases Sales Adverting expense Salary Expense Depreciation Beginning Inventory Ending Inventory Amount 118,000 350.000 90,000...
Apply the KruskalWallis test and the following statistics to determine whether there is enough statistical evidence at the 10% significance level to infer that the population locations differ. T 1 =...
From the following statistics, use the KruskalWallis test (with = .01) to determine whether the population locations differ. T 1 = 1,207 n 1 = 25 T 2 = 1,088 n 2 = 25 T 3 = 1,310 n 3 = 25 T 4 =...
Conduct the KruskalWallis test on the following statistics. Use a 5% significance level. T 1 = 984 n 1 = 23 T 2 = 1,502 n 2 = 36 T 3 = 1,430 n 3 = 29
Amber has a Homeowners 3 policy. The dwelling is insured for $150,000 and the replacement cost of the home is $250,000. Indicate whether or not each of the following losses is covered. If possible,...
What is a social movement? How have the movements for racial and gender equality intersected with the labor movement? How do those movements intersect presently? What are some examples of the ways in...
What are the factors that may account for the decline in the overall unionization rates over the past 50 years? What are some of the distinctions between the public and private sector unionization...

Show that the function f(x) = 4 x (2x 2 + 3) is decreasing for all

Question:

Step by Step Answer:

To show that the function fx 4 x2x2 3 is decreasing for all x R we nee...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions