Contemporary Mathematics for Business & Consumers
8th Edition
ISBN: 9781305886803
Author: Brechner
Publisher: Cengage
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Chapter 4, Problem 5CR
To determine
To fill: The blank space in the statement, “The signature and instructions on the back of a check are known as____”.
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The final answer is 8/π(sinx) + 8/3π(sin 3x)+ 8/5π(sin5x)....
Keity
x२
1. (i)
Identify which of the following subsets of R2 are open and which
are not.
(a)
A = (2,4) x (1, 2),
(b)
B = (2,4) x {1,2},
(c)
C = (2,4) x R.
Provide a sketch and a brief explanation to each of your answers.
[6 Marks]
(ii)
Give an example of a bounded set in R2 which is not open.
[2 Marks]
(iii)
Give an example of an open set in R2 which is not bounded.
[2 Marks
Chapter 4 Solutions
Contemporary Mathematics for Business & Consumers
Ch. 4.I - Use the following blank to write a check for...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Fill out the deposit slip for Hi-Volt Electronics...Ch. 4.I - From the following information, complete the two...Ch. 4.I - You are the owner of the Busy Bee Launderette....Ch. 4.I - Prob. 2RECh. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - You have just received a check. Your account...Ch. 4.I - Properly fill out the deposit slip for The Star...
Ch. 4.I - Properly fill out the deposit slip for Howard...Ch. 4.I - 8. From the following information, complete the...Ch. 4.I - From the following information, complete the...Ch. 4.I - 10. From the following information, complete the...Ch. 4.II - Using the form provided, reconcile the following...Ch. 4.II - 1. On April 3. Erin Gardner received her bank...Ch. 4.II - Bob Albrecht received his bank statement on July 5...Ch. 4.II - On December 2. John Leahy received his bank...Ch. 4 - 1. A(n) ___________ is a written order to a bank...Ch. 4 - On a check, the ___________ is the person or...Ch. 4 - When a(n) ___________ card is used, the amount of...Ch. 4 - 4. Write the word form of $52.45 as it would...Ch. 4 - Prob. 5CRCh. 4 - Prob. 6CRCh. 4 - Prob. 7CRCh. 4 - Prob. 8CRCh. 4 - Attached by perforation to checks, check...Ch. 4 - Prob. 10CRCh. 4 - Prob. 11CRCh. 4 - Prob. 12CRCh. 4 - Prob. 13CRCh. 4 - Prob. 14CRCh. 4 - Prob. 1ATCh. 4 - 2. You have just received a check. Your account...Ch. 4 - As cashier for Cellinis Pizza, it is your...Ch. 4 - Simon Fitzrowdy checked his checking account...Ch. 4 - Prob. 5ATCh. 4 - 6. On October 1, Jessica Clay received her bank...Ch. 4 - Using the form on page 121, prepare a bank...
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- 2. (i) Which of the following statements are true? Construct coun- terexamples for those that are false. (a) sequence. Every bounded sequence (x(n)) nEN C RN has a convergent sub- (b) (c) (d) Every sequence (x(n)) nEN C RN has a convergent subsequence. Every convergent sequence (x(n)) nEN C RN is bounded. Every bounded sequence (x(n)) EN CRN converges. nЄN (e) If a sequence (xn)nEN C RN has a convergent subsequence, then (xn)nEN is convergent. [10 Marks] (ii) Give an example of a sequence (x(n))nEN CR2 which is located on the parabola x2 = x², contains infinitely many different points and converges to the limit x = (2,4). [5 Marks]arrow_forward2. (i) What does it mean to say that a sequence (x(n)) nEN CR2 converges to the limit x E R²? [1 Mark] (ii) Prove that if a set ECR2 is closed then every convergent sequence (x(n))nen in E has its limit in E, that is (x(n)) CE and x() x x = E. [5 Marks] (iii) which is located on the parabola x2 = = x x4, contains a subsequence that Give an example of an unbounded sequence (r(n)) nEN CR2 (2, 16) and such that x(i) converges to the limit x = (2, 16) and such that x(i) # x() for any i j. [4 Marksarrow_forward1. (i) which are not. Identify which of the following subsets of R2 are open and (a) A = (1, 3) x (1,2) (b) B = (1,3) x {1,2} (c) C = AUB (ii) Provide a sketch and a brief explanation to each of your answers. [6 Marks] Give an example of a bounded set in R2 which is not open. (iii) [2 Marks] Give an example of an open set in R2 which is not bounded. [2 Marks]arrow_forward
- sat Pie Joday) B rove: ABCB. Step 1 Statement D is the midpoint of AC ED FD ZEDAZFDC Reason Given 2 ADDC Select a Reason... A OBB hp B E F D Carrow_forward2. if limit. Recall that a sequence (x(n)) CR2 converges to the limit x = R² lim ||x(n)x|| = 0. 818 - (i) Prove that a convergent sequence (x(n)) has at most one [4 Marks] (ii) Give an example of a bounded sequence (x(n)) CR2 that has no limit and has accumulation points (1, 0) and (0, 1) [3 Marks] (iii) Give an example of a sequence (x(n))neN CR2 which is located on the hyperbola x2 1/x1, contains infinitely many different Total marks 10 points and converges to the limit x = (2, 1/2). [3 Marks]arrow_forward3. (i) Consider a mapping F: RN Rm. Explain in your own words the relationship between the existence of all partial derivatives of F and dif- ferentiability of F at a point x = RN. (ii) [3 Marks] Calculate the gradient of the following function f: R2 → R, f(x) = ||x||3, Total marks 10 where ||x|| = √√√x² + x/2. [7 Marks]arrow_forward
- 1. (i) (ii) which are not. What does it mean to say that a set ECR2 is closed? [1 Mark] Identify which of the following subsets of R2 are closed and (a) A = [-1, 1] × (1, 3) (b) B = [-1, 1] x {1,3} (c) C = {(1/n², 1/n2) ER2 | n EN} Provide a sketch and a brief explanation to each of your answers. [6 Marks] (iii) Give an example of a closed set which does not have interior points. [3 Marks]arrow_forwardFunction: y=xsinx Interval: [ 0 ; π ] Requirements: Draw the graphical form of the function. Show the coordinate axes (x and y). Choose the scale yourself and show it in the flowchart. Create a flowchart based on the algorithm. Write the program code in Python. Additional requirements: Each stage must be clearly shown in the flowchart. The program must plot the graph and save it in PNG format. Write the code in a modular way (functions and main section should be separate). Expected results: The graph of y=xsinx will be plotted in the interval [ 0 ; π ]. The algorithm and flowchart will be understandable and complete. When you test the code, a graph file in PNG format will be created.arrow_forwardA company specializing in lubrication products for vintage motors produce two blended oils, Smaza and Nefkov. They make a profit of K5,000.00 per litre of Smaza and K4,000.00 per litre of Nefkov. A litre of Smaza requires 0.4 litres of heavy oil and 0.6 litres of light oil. A litre of Nefkov requires 0.8 litres of heavy oil and 0.2 litres of light oil. The company has 100 litres of heavy oil and 80 litres of light oil. How many litres of each product should they make to maximize profits and what level of profit will they obtain? Show all your workings.arrow_forward
- Use the graphs to find estimates for the solutions of the simultaneous equations.arrow_forwardPLEASE SOLVE STEP BY STEP WITHOUT ARTIFICIAL INTELLIGENCE OR CHATGPT SOLVE BY HAND STEP BY STEParrow_forward6) Find the area of the shaded region. Leave your answer in terms of π. A 2 B C A) 16.5л B) 30д 3.1988 C) 3л π D) 7.5π 9.+2uarrow_forward
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