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Write a program to accept a tuple, extract the last string item of the tuple and return the string after removing the first character of the string.


β€œThe concerns of economics will not go away because of the fact of scarcity and the desire for



efficiency.” Justify the statement.

Write a program to reverse a string that is passed by the user.


QUESTION 3 Let A = [ 4 0 1 βˆ’2 1 0 βˆ’2 0 1 ](its 3by3 matrix).

3.1. Find the eigenvalues of A.

3.2. For each eigenvalue of A find the corresponding eigenvectors.


3.3. Is A diagonalizable? Explain. If it is diagonalizable, then find P such that 𝐷 = 𝑃 βˆ’1𝐴𝑃 is a diagonal matrix. Do not compute 𝑃 βˆ’1(show all step!) .Β 


When solving for x in the equation


((9x + 7)/2)-(x-(x-2))/7)=36



the equation that is NOT correct, is



[1] ((9x + 7)/2)-[(7x/7)-((x-2)/7)]=36



[2] ((9x + 7)/2)-((7x-x-2)/7)=36



[3] ((9x + 7)/2)-((6x+2)/7)=36



[4] 7(9x + 7) βˆ’ 2(6x + 2) = 14 Γ— 36.



For each of the linear operators below, determine whether it is normal, self adjoint, or neither



(a) T / (R ^ 2) -> R ^ 2 defined by T(x, y) = (2x - 2y, - 2x + 5y)



(b) T / (C ^ 2) -> C ^ 2 defined by T(x,y)=(2x+iu.x+2y)

Jemima has three boxes whose total weight is 51 1


5 kg. Box B weighs 5 1


2 kg more than box A and box C


weighs 3 1


5 kg more than box B. Choose the correct statement.


[1] Box A weighs 17 5


6 kg.


[2] Box C weighs 21 1


30 kg.


[3] Box A weighs 42 1


2 kg.


[4] Box B weighs 12 1


3 kg


8. Santa always leaves plans for his elves to determine the order in which the reindeer will pull his sleigh. This year, for the Asian leg of his journey, his elves are working on the following schedule that will form a single line of nine reindeers: "Comet behind Rudolph, Prancer and Cupid. Blitzen behind Cupid and in front of Donder, Vixen and Dancer. Cupid in front of Comet, Blitzen and Vixen. Donder behind Vixen, Dasher and Prancer. Rudolph behind Prancer and in front of Donder, Dancer and Dasher. Vixen front of Dancer and Comet. Dancer behind Donder, Rudolph and Blitzen. Prancer in front of Cupid, Donder and Blitzen. Dasher behind Prancer and front of Vixen, Dancer and Blitzen. Donder behind Comet and Cupid. Cupid in front of Rudolph and Dancer. Vixen behind Rudolph, Prancer and Dasher." What is the order in which the reindeer will pull Santa's sleigh?

  1. Input five float numbers.
  2. Print out the float numbers in one line, separated by spaces, and make sure you only print up to 1 decimal place.
  3. Add the first four float numbers and check if their sum is greater than the fifth float number. Print outΒ "Yes"Β if they are.





Beaker

1

2

3

4

5

6

Sample Volume (mL)

1000

1000

1000

1000

1000

1000

Coagulant

(ppm)

12

14

16

18

20

22

SG of Coagulant: 1.22


Calculate what is the dosage in ml for 12ppm, 14ppm, 16ppm, 18ppm, 20ppm, 22ppm in the attached table for Jar Test purpose?


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