Question: Show that x2y2 (4 x2) (4 y2) < 16 for all numbers and such that | x | < 2 and | y

Show that x2y2 (4 – x2) (4 – y2) < 16 for all numbers and such that | x | < 2 and | y | < 2.

Step by Step Solution

★★★★★

3.49 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

xy 4x 4 y x 4 x y 4 y fxfy where ft t 4t We will show that 0 ft 4 fo... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

M-C-D (596).docx

120 KBs Word File

Students Have Also Explored These Related Calculus Questions!

Q:

Show that the two circle x2 + y2 - 4x - 2y - 11 = 0 and x2 + y2 + 20x - 12y + 72 = 0 do not intersect.

Q:

Show that a) x2 is o(x3). b) x log x is o(x2). c) x2 is o(2x ). d) x2 + x + 1 is not o(x2).

Q:

Show that the surface z = x2 y and y = 1/4 x2 + 3/4 intersect at (1, 1, 1) and have perpendicular tangent planes there.

Q:

question below: Find and sketch the domain for the function. f(x,y) = (x2 -9) (y2 -16) Find the domain of the function. Express the domain so that coefficients have no common factors other than 1....

Q:

Need help :- huhuhu A study was conducted on the effect of water temperature and time in solution on the amount of dye absorbed by a certain kind of fabric. A standard amount of dye (200...

Q:

EXERCISE SET 3.3 Graphing Utility 1-14 Give a graph of the rational function and label the co- ordinates of the stationary points and inflection points. Show 17. Show that y = x + 3 is an oblique...

Q:

Please answer parts C and D. Thank you! Consider the following. F ( x ) = 2XV 16 - x2, [-4, 4] (a) Use a computer algebra system to differentiate the function. 4 ( x2 - 8) (-x2 + 16) 2 (b) Sketch the...

Q:

Your last submission is used for your score. 1. [-/1 Points] DETAILS LARCALCET7 3.2.031. MY NOTES ASK YOUR TEACHER Find the slope of the graph of the function at the given point. Use the derivative...

Q:

need answers of the following with working Question 11 Prove the following identities. sin(A - B) COS(A - B) sin A i. sin B COS B sin Bcos B sin 2.x cot x ii. - COS 2.x (6 + 5 marks) Question 12...

Q:

write a C++ code that does the following First it reads three points in the plane p 1 = ( x 1 , y 1 ), p 2 = ( x 2 , y 2 ) and p 3 = ( x 3 , y 3 ) from the standard input in the following format. x 1...

Q:

Michael Abrams runs a specialty clothing store that sells collegiate sports apparel. One of his primary business opportunities involves selling custom screenprinted sweatshirts for college football...

Q:

Let R and S be equivalence relations on a set A. Prove that R S is also an equivalence relation on A. (Remark: Both R and S are subsets of A A. Their intersection R S is also a subset of A A. See...

Q:

Discuss the differences between the European Union and the North American Free Trade Agreement. In what ways are they similar?

Q:

In the early 1980s, planners were examining alternate sites for a new airport to serve London. In their economic analysis, they computed the value of the structures that would need to be removed from...

Q:

IPS Corp. will upgrade its package-labeling machinery. It costs $150,000 to buy the machinery and have it installed. Operation and maintenance costs are $1500 per year for the first 3 years and...

Q:

Using benefit-cost ratio analysis, a 5-yearusefullife, and a 15%MARR, determinewhic~of the following alternatives should be selected A D $100 $200 $300 $400 $500 126 150 B Cost 37 69 37 83 Uniform...

Q:

Tom Sewell has gathered data on the relative costs of a solar water heater system and a conventional electric water heater. The data are based on statistics for a mid-American city and assume that...

Q:

Consider the two-dimensional rectangular plate of Problem 4.2 having a thermal conductivity of 50 W/m K. Beginning with the exact solution for the temperature distribution derive an expression for...

Q:

One of global sports apparel giant Nike's challenges is to accommodate preferred colors, materials, and styles that vary sharply across individual customers and across global regions and cultures....

Q:

Use cylindrical coordinates. Find the volume of the solid that lies within both the cylinder x 2 + y 2 = 1 and the sphere x 2 + y 2 + z 2 = 4.

Q:

Use cylindrical coordinates. Find the volume of the solid that lies between the paraboloid z = x 2 + y 2 and the sphere x 2 + y 2 + z 2 = 2.

Q:

Use cylindrical coordinates. (a) Find the volume of the region E that lies between the paraboloid z = -4 - x 2 - y 2 and the cone z = 2x 2 + y 2 . (b) Find the centroid of E (the center of mass in...

Q:

At a high school basketball game the Lions and the Eagles are playing. At a high school basketball game the Lions and the Eagles are playing. The Lions attempted 19 free throws and made 11, attempted...

Q:

Round rates to the nearest tenth of a percent, amounts to the nearest dollar, and time to the nearest day. A $9000 note is signed, for 60 days, at a discount rate of 11%. Find the proceeds. A)...

Q:

Task 1 : What is Customer Service? Why is it important for service to meet and exceed expectations? Show your understanding with relevant examples.Apply what you have understood from tasks one and...