
Tofind:the operation are closed integers.

Answer to Problem 46HP
The resolve rate of the customer service department is
Explanation of Solution
Given information:
Consider theinformationprovided, addition and multiplication are said to be closed for whole numbers, but Subtraction and division are not. That is when you add or multiply any 2 whole numbers the result is a whole number .
The whole numbers are a set of counting numbers along with zero (0, 1, 2, 3, 4, 5, …..). there are infinitely many numbers in this set of numbers. The set of whole numbers is closed under addition and multiplication.
In case of integers the integers are the set of all the natural numbers using their additive inverse (-3, -2, -1, 0, 1, 2, 3, …).Therefore, the integers are closed under addition, multiplication and subtraction but not under division
As if we divide
Chapter 2 Solutions
Glencoe Math Accelerated, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (4th Edition)
Basic Business Statistics, Student Value Edition
Thinking Mathematically (6th Edition)
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
Calculus: Early Transcendentals (2nd Edition)
- Evaluate the next integralarrow_forward1. For each of the following, find the critical numbers of f, the intervals on which f is increasing or decreasing, and the relative maximum and minimum values of f. (a) f(x) = x² - 2x²+3 (b) f(x) = (x+1)5-5x-2 (c) f(x) = x2 x-9 2. For each of the following, find the intervals on which f is concave upward or downward and the inflection points of f. (a) f(x) = x - 2x²+3 (b) g(x) = x³- x (c) f(x)=x-6x3 + x-8 3. Find the relative maximum and minimum values of the following functions by using the Second Derivative Test. (a) f(x)=1+3x² - 2x3 (b) g(x) = 2x3 + 3x² - 12x-4arrow_forwardFind the Soultion to the following dy differential equation using Fourier in transforms: = , хуо, ухо according to the terms: lim u(x,y) = 0 x18 lim 4x (x,y) = 0 x14 2 u (x, 0) = =\u(o,y) = -y لوarrow_forward
- Can you solve question 3,4,5 and 6 for this questionarrow_forwardwater at a rate of 2 m³/min. of the water height in this tank? 16) A box with a square base and an open top must have a volume of 256 cubic inches. Find the dimensions of the box that will minimize the amount of material used (the surface area). 17) A farmer wishes toarrow_forward#14 Sand pours from a chute and forms a conical pile whose height is always equal to its base diameter. The height o the pile increases at a rate of 5 feet/hour. Find the rate of change of the volume of the sand in the conical pile when the height of the pile is 4 feet.arrow_forward
- (d)(65in(x)-5 cos(x) dx mins by 5x-2x² 3x+1 dx -dx 20 Evaluate each the following indefinite integralsarrow_forward19 Evaluate each the following definite integrals: a) લ b) (+3) 6) (2-2)(+33) dxarrow_forward#11 If a snowball melts so its surface area decreases at a rate of 1cm²/min, find the rate at which the diameter decreases when the diameter is 6 cm.arrow_forward
- Use Deritivitve of the inverse to solve thisarrow_forwardEvaluate the following Limits: e6x-1 Lim +0Sin3x 7x-5x2 2x-1+ Cos 4x +6 c) Lim b) Lim + x³-x2 X-0 1-e' 4x d) Lim 6x²-3 X+0 6x+2x² Find the derivatives of the following functions using the Limit definition of derivativearrow_forward15A cylindrical tank with radius 8 m is being filled with water at a rate of 2 m³/min. What is the rate of change of the water height in this tank? 6)A box with a square base and an open top must box that will minimiarrow_forward
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning





