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Suppose you are given a sequence of numbers as follows 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. .Now. you want to find the n number of the sequence i.e.. if you input n-7, program will give you output 13, for n=10, output=55. You MUST use dynamic programming technique to solve this problem and implement your solution in C language. What is the running time of your algorithm (write it in your text file).

At what temperature will salt solution boil if 20 g salt (NaCl) is added to 1.5 kg of water?

Note: Remember that NaCl is a strong electrolyte and dissociates to Na+ and Cl- , respectively.


There are infinite number of identical photons these photons are placed into containers say nodes numbered from 1 with the first container being the root node.




The kth node has two children i.e,left and right child numbered as 2*k and 2*k+1 respectively. When you throw a heat wave at a photon present at some node,it starts vibrating and producing light of intensity -1.the vibration of this photon affects all the other photons as well.




As you go awayfrom this node the intensity of light produced by photons at various nodes decreased by 1 with each passing node due to their increased distance from the photon that was hit by the light wave initially,all the photons are stable i.e, no vibration and hence they produce no light.



Ex1:



I/p1:1



i/p2:2



o/p:-2



explanation :the first node will produce light with intensity -1 and node 2 will produce -2 because it is the neighboring node of 1.




Ex2:



i/p1:2



i/p2:3



o/p:-3





Search Game



A grid of letters may contain a word hidden somewhere within it. The letters of the word may be traced from the starting letter by moving a single letter at a time, up, down, left or right. For example, suppose we are looking for the word BISCUIT in this grid:






2






B



T



1



U



A



C



2



S



V



D



N



The word starts in the top left corner, continues downwards for 2 more letters, then the letter to the right followed by 2 letters moving upwards, the final letter at the right of the penultimate one.



Write a program in which we give target word and a grid of letters as input returns a list of tuples, each tuple being the row and column of the corresponding letter in the grid (numbered from 0). If the word cannot be found, output the string Not present

11. The battery life of a certain battery is normally distributed with a mean of 90 days and a standard deviation of 3 days.

For each of the following questions, construct a normal distribution curve and provide the answer.

a)    About what percent of the products last between 87 and 93 days?

b)    About what percent of the products last 84 or less days?

For each of the following questions, use the standard normal table and provide the answer.

c) About what percent of the products last between 89 and 94 days?

d) About what percent of the products last 95 or more days? 




Answer and complete the truth tables to make a valid argument using Rule of Inference.

Modus Tollens If it is raining, I will need an umbrella. I won’t need an umbrella. ∴ It is not raining.


1) p q p → q ~q (p → q) Λ ~q ~p [(p → q) Λ ~q] → ~p


Suppose you are given 1000 unordered integer numbers ranging from 10-100. Now you have to sort these numbers decreasing order. Implement a suitable sorting algorithm which would take lesser time in C language. Your program would take these 1000 numbers from the user and gives output of these 1000 numbers but in sorted order. Write a short note on why you have chosen your algorithm to solve this problem.

Apply steps in the control process to ANY relevant department that is responsible for the control

of ONE (1) factor of production, E.g. Capital (finance department), Show how each step can be used

in the standard operating procedures relevant to the department. Comment on the overall success

of the control process used


Three airlines serve a Srinagar. Airline ‘Amira’ has 50% of all the scheduled flights, airline ‘Biyas’ has 30%, and airline ‘chinar’ has the remaining 20%. Their on-time rates are 80%, 65%, and 40%, respectively. 

A plane has just left on time. What is the probability that it was airline ‘Amira’?


Dai Hing Bookshop Ltd. has a beginning cash balance of $44,000 on November 1. The firm has projected sales of $61,000 in October, $68,000 in November, and $74,000 in December.

The cost of goods sold is equal to 60 percent of sales.

Goods are purchased one month prior to the month of sale and there is no ending inventory requirement.

The accounts payable period is 30 days and the accounts receivable period is 15 days.

The firm has monthly cash expenses of $16,000.

What is the projected ending cash balance at the end of November and December? Assume every month has 30 days.


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