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1. Given that Y = e + Cosx, find: dy a. dr b. d'y/dx?

1. Given that Y = e + Cosx, find: dy a. dr b. d'y/dx?

Advanced Engineering Mathematics
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. Given that Y = eiax + Cosx, find: dy a. dr b. d'y/dx 2. The ages of a random sample of depositors at a named bank in Lusaka are as follows: 34 28 46 37 33 24 29 45 37 34 32 25 50 54 32 36 38 41 38 44 28 43 40 49 30 46 27 34 61 33 a. Display the data presented above on a stem and leaf display b. State any three reasons why statisticians would display data on a stem and leaf c. Find i. Mean ii. Variance iii. Standard deviation 3. The profits to be realised from airtime vending business, to the nearest S1 000, are believed to follow the probability distribution shown below: -2 000 -1 000 1 000 2 000 3 000 P(X = x) 0.1 0.1 0.2 K 0.3 0.1 a. Determine the value of K. b. Find the probability that the airtime vending i. Makes a loss ii. Realises profit of at least $2 000 c. Find i. The expected earnings and Standard deviation of profits for the air time vending business ii. d. Is the air time vending business likely to be successful? Explain 4. In the table below, 55 students have been placed in four cells according to their lecture's ratings as good performer and poor performers, and success/failure on a consumer intelligence index test item. Lecture's Ratings Test Item Total Pass Good performers Poor performers Total 10 15 25 16 14 30 26 29 55 Test at 95% confidence Interval whether there is item differences between individuals on the basis of their performance as rated by their teachers.
Transcribed Image Text:1. Given that Y = eiax + Cosx, find: dy a. dr b. d'y/dx 2. The ages of a random sample of depositors at a named bank in Lusaka are as follows: 34 28 46 37 33 24 29 45 37 34 32 25 50 54 32 36 38 41 38 44 28 43 40 49 30 46 27 34 61 33 a. Display the data presented above on a stem and leaf display b. State any three reasons why statisticians would display data on a stem and leaf c. Find i. Mean ii. Variance iii. Standard deviation 3. The profits to be realised from airtime vending business, to the nearest S1 000, are believed to follow the probability distribution shown below: -2 000 -1 000 1 000 2 000 3 000 P(X = x) 0.1 0.1 0.2 K 0.3 0.1 a. Determine the value of K. b. Find the probability that the airtime vending i. Makes a loss ii. Realises profit of at least $2 000 c. Find i. The expected earnings and Standard deviation of profits for the air time vending business ii. d. Is the air time vending business likely to be successful? Explain 4. In the table below, 55 students have been placed in four cells according to their lecture's ratings as good performer and poor performers, and success/failure on a consumer intelligence index test item. Lecture's Ratings Test Item Total Pass Good performers Poor performers Total 10 15 25 16 14 30 26 29 55 Test at 95% confidence Interval whether there is item differences between individuals on the basis of their performance as rated by their teachers.
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