2. Use deductive reasoning to show that the following produces always the original number increased by 2. Pick a number. Multiply it by 4. Add 8 to it. Divide the result by 4.
2. Use deductive reasoning to show that the following produces always the original number increased by 2. Pick a number. Multiply it by 4. Add 8 to it. Divide the result by 4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
1 and 2
Transcribed Image Text:GLOBE
COI 93 9:05
SMART
Chapter 3_Problem Solving.
C. Solve the following problems by deduction:
1. Use deductive reasoning to show that the following produces always the number 3.
Pick a number. Add 5 to it. Subtract 7 from the result. Subtract twice the original
number from the previous result.
2. Use deductive reasoning to show that the following produces always the original number
Increased by 2.
Pick a number. Multiply it by 4. Add 8 to it. Divide the result by 4.
3. The nth term formula for the maximum number of pieces of baked cheese cake, P, that can
n(n+1)
be produced by n straight cuts is P, =
2
a. Use the nth term formula to determine the maximum number of pieces that can be
produced by 7 straight cuts.
b. What is the smallest number of straight cuts that you can use if one wishes to
produce at least 45 pieces?
Chapter 1 Problem Solvng and Reasoning
4. Four friends Sheldon, Raj, Leonard and Howard decided to invest their 50,000 dollars
savings in stocks. Each chooses a different stock. One chooses a blue chip stock, another a
growth stock, the other chooses an income stock and another chooses a penny stock. From
the following clues, determine who bought which stock.
a. Sheldon and the owner of the blue chip stock purchased their shares through an
online brokerage, while Raj and the owner of the growth stock did not.
b. The gain in value of Leonard's stocks is twice the gain in the value of the growth
stock.
c. The income stock is traded on American Stock Exchange, whereas the stock that Raj
bought is trades on the Chicago Stock Exchange
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