5. Find: a) The fifth member of the binomial expansion of expression (x-y) b) The ninth member of the binomial expansion of expression x² (1²-1 6. Find the intermediate member of the binomial expansion of the expression 7. Which member of the binomial expansion of the algebraic expression (√²+√x¹² contains x²?
5. Find: a) The fifth member of the binomial expansion of expression (x-y) b) The ninth member of the binomial expansion of expression x² (1²-1 6. Find the intermediate member of the binomial expansion of the expression 7. Which member of the binomial expansion of the algebraic expression (√²+√x¹² contains x²?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Answer number 5,6,7 show sollutions
Transcribed Image Text:Exercises
Binomial Theorem and Bayes Theorem
10
^{(x-1)²⁰.
1. Find the binomial expansion of the expression x-
2. Which member of the binomial expansion of the algebraic expression 2x-
contains x* ?
3. Find two intermediate members of the binomial expansion of the expression
(x+y)³.
4. Find intermediate members of the binomial expansion of the expression (x+y)+
5. Find:
a) The fifth member of the binomial expansion of expression (x−y)
1
b) The ninth member of the binomial expansion of expression x²
6. Find the intermediate member of the binomial expansion of the expression
(√x-1).
X
7. Which member of the binomial expansion of the algebraic expression
12
14
X
12
(√²+√x¹² contains x²?
8. For what value of x the fifth member of the binomial expansion of the algebraic
10
1 1
expression
equals to the number 105 ?
2√x 2
9. Find out which member of the binomial expansion of the algebraic expression
8
1
(x²-
equals to the number 70.
10. Find out which member of the binomial expansion of the algebraic expression
is the product of the coeficient and of the unknown √x.
11. A particular study showed that 12% of men will likely develop colon cancer. A
man with colon cancer has a 95% chance of a positive test result from a medical
screening exam. A man without colon cancer has a 6% chance of getting a false
positive test result. What is the probability that a man has cancer given that he
has a positive test result?
12. In a particular pain clinic, 10% of patients are prescribed narcotic pain killers.
Overall, 5% of the clinic's patients are addicted to narcotics (including pain killers
and illegal substances). Out of all the people prescribed pain pills, 8% are
addicts. If a patient is an addict, what is the probability that they will be
prescribed pain pills?
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