[PDF] 1 In T(n) = a * T(n/b) + f(n) , a refers to



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2 Solve: 10x4 - 9x2 + 2 = 0

Jun 26, 2011 · c) ther is no solution a) solution set is {x -2 < x < -1, x > 10 } 38 Add Simplify if possible 2y + y y2-16 y-4 2y y2"16 + y y"4 = y(y+6) y2"16 39 For the following equation, state the value of the discriminant and then describe the nature of the solution: 15x2 + 5x – 14 = 0 The value of discriminant is: a> The equation has one real



10X Cell Dissociation Solution - Trevigen

10X Cell Dissociation Solution Safety Data Sheet According To Federal Register / Vol 77, No 58 / Monday, March 26, 2012 / Rules And Regulations Revision Date: 04/08/2015 Date of issue: 03/27/2015 Version: 1 0 SECTION 1: IDENTIFICATION 04/08/2015 EN (English US) 1/5 1 1 Product Identifier



Dako Target Retrieval Solution (10x) ENGLISH Code S1699

1 Préparer une solution de travail en diluant le concentré à 1:10 dans de l’eau distillée ou déionisée 2 Remplir les réservoirs de PT Link d’une quantité suffisante (1,5 L) de solution de travail pour recouvrir les coupes de tissus 3 Régler le PT Link pour un préchauffage de la solution à 65 °C 4



SOLVING SOLUTION AND MIXTURE VERBAL PROBLEMS 1 Solution Problems

7 An 8 solution of local anesthesia is needed However, 40 fl oz of a 10 solution is the only type of this anesthesia in stock How much neutral solution containing no anesthesia should be added to the 40 fl oz container of the 10 solution? 8 A pharmacist needs to fill an order for a 4 lidocaine solution topical However, only 2 and 9



Math 2331 { Linear Algebra

Parallel solution sets of Ax = b and Ax = 0 Theorem Suppose the equation Ax = b is consistent for some given b, and let p be a solution Then the solution set of Ax = b is the set of all vectors of the form w = p+ v h, where v is any solution of the homogeneous equation Ax = 0 Jiwen He, University of Houston Math 2331, Linear Algebra 10 / 12



Solution The information we are given can be summarized this

Solution The information we are given can be summarized this way dG ds =0 05gal/mi, ds dt =30mi/hr, and we want to find this: dG dt =? If we give these numbers and units the usual interpretation, we have this: • We use 0 05 gallons by driving one mile, • We drive 30 miles in one hour, • How many gallons will we use in one hour?



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a solution if an only if gcd(a,n) is a divisor of b Also note that the congruence is stated modulo 90, and so the most satisfying answer is given in terms of congruence classes modulo 90 Solution: We have gcd(42,90) = 6, so there is a solution since 6 is a factor of 12 Solving the congruence 42x ≡ 12 (mod 90) is equivalent to solving the



1 Calculate the pH of a 10 x 10-3 M solution of

8 Calculate the pH and pOH of a solution that was made by adding 400 ml of water to 350 ml of a 5 0 x 10-3 M NaOH solution 5 Calculate the pH of a 2 0 liter solution containing 0 005 g of HCl 6 Calculate the pH and pOH of a solution with a volume of 5 4 liters that contains 15 g of hydrochloric acid (HCl) and 25 g of nitric acid (HNO 3) 7



1 In T(n) = a * T(n/b) + f(n) , a refers to

10 In the matrix chain product of (2x10)(10X4)(4X7) the solution is A) 136 B) 420 C) 360 D) 128 11 In a multistage graph the minimum no of stages are A) 0 B)3 C) 1 D)2 12 One of the methods for All Pairs shortest path problem is similar or equivalent to



MATH 351 Solutions 

Solution This cannot be a probability density function If c= 0, then it does not integrate 1 For any c6= 0, there is an interval in −2 ≤ x≤ 2 over which the integral is negative, and therefore does not represent a probability over this interval 2 Suppose that f(x) = (c(3x−x2) if 0 ≤ x≤ 2 0 otherwise

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1 In T(n) = a * T(n/b) + f(n) , a refers to

A) size of sub problem B) No. of sub problems C) Size of the problem D) Time to combine solutions

2 T(n) = 4 T (n/2) + n then in Big Oh Notation it is

A) O(n2 ) B) O(4)

C) O(n) D) O(log(n))

3 A) 7T(n) + bn2 B) 7T(n/2) + bn2 C) 8T(n/2) + bn2 D) 7T(n/2) + bn

4 In a fractional Knapsack three items(1,2,3) have weights (4,8,6) & profits (12,32,30) respectively. If the

weight of the knapsack is 10 then the solution is A) 3AE6 , 2AE4 B) 3AE4 , 2AE6 C) 3AE6 , 1AE4 D) 1AE4 , 2AE6

5 One of the following coin change problem does not form the greedy choice property in which we give

the coin in ascending order to give the minimum no. of coins A) 32,8,1 B) 30,20,5,1 C) 50,12,3 D) 30,12,3

6 Job sequencing with deadlines we have 4 jobs with profits(30,20,10,5) & deadlines as (1,2,1,2) then the

best sequence to run on the machine is A) 1,2 B) 2,1 C) 1,3 D) 1,4 E) 3,2

7 Kruskal algorithm is implementation of

A) Optimal Merge Patterns B ) Minimum Spanning Tree C) Optimal Binary Search Tree

D) Matrix chain Product

8 The cost of the minimum spanning tree is

A) 15 B) 16 C) 17 D) 18

9 Single Source Shortest path requires the time using Greedy programming is

A) O(nlogn ) B) O(n2 ) C) O(logn2 ) D) O(n )

10 In the matrix chain product of (2x10)(10X4)(4X7) the solution is

A) 136 B) 420 C) 360 D) 128

11 In a multistage graph the minimum no. of stages are

A) 0 B)3 C) 1 D)2

12 One of the methods for All Pairs shortest path problem is similar or equivalent to

A) Running Dijkstra equivalent to no. of edges B) Running Dijkstra once C) Running Dijkstra equivalent to no. of vertices D) nothing to do with Dijkstra

13 0-1 knapsack be solved using

A) dynamic programming B) Backtracking C) Branch & Bound D) All A,B,C,E

E) Genetic Programming

14 The no. of unique solution to the eight Queen Problem are

A) 1 B) 92 C) 12 D) 90

15 In depth first search algorithm the no. of recursive calls we have to make are

A) 2 B) 1 C) 6 D ) depends on the graph

16 In breadth First Search the no. of levels of the graph are

A) 1 B) 2 C) 3 D) 4

17 The total cost of accessing the given binary search tree will be

A) 15 B) 8 C) 5 D) 11

18 Hamiltonion Graphs are

A) Graphs with weights

B) Graphs with no cycles

C) We can traverse back to the originating node without repeating a edge

19 Chromatic number of a graph is

A) The no. of cliques in a graph

B) The no. of edges in a graph

C) The max. no. of colors used in the graph

D) The min. no. of colors used in the graph

20 The lower bound in Graph coloring problem is

A) The no. of cliques in a graph

B) The no. of edges in a graph

C) The clique number of a graph

The vertices in any clique

21 One of the following is true

A) It is the complexity of an algorithm that determines the increase in problem size that can be solved in the given time B) Advent of future generations of digital computers with tremendous speed will decrease the importance of efficient algorithm C) Advent of future generations of digital computers with tremendous speed will increase the importance of efficient algorithm D) It is the space complexity that decreases with increase in computer speed

22 The sum of subsets is the problem of

A) Given a set S o integers and an integer k & we are asked if there is a subset of integers in S that

sum to n B) Given a set S o integers and an integer k & we are asked if there is a subset of integers in S that sum to k C) Given a set S o integers and we are asked if there is a subset of integers in S that sum to n Given a set S of k integers and an integer n & we are asked if there is a subset of integers in S that sum to k

23 We interchange the values of variables m and n, using the replacement notation by tÅ m, mÅ n, nÅ t

. So we use three assignments. If we want to rearrange (a,b,c,d) to (b,c,da,) by a sequence of replacements. The new value of a is to be the original value of b & so on. How many assignments are required? A) 3 B) 5 C) 4 D) 6

24 O(f(n)) minus O(f(n)) is equal to

A) zero B) A constant C) f(n) D) O(f(n))

25 The terminal nodes of a binary tree occur in the same relative position in

a) preorder b) inorder c) postorder

A) a & b & c

B) b& c only

C) c& a only

D) a & b only

E) only a

26 If we are given two out of the

a) preorder traversal b) postorder traversal c) inorder traversal then the binary search tree can be constructed when

A) inorder & postorder

B) Postorder & preorder

C) Preorder & inorder

27 In a conventional tree diagram ( root at the top) then node X has a higher level number than node Y, then

node X appears lower in the diagram than node Y.

A) May be true or false rue

B) False

C) True

D) True in most of the cases

28 If node A has three brothers and B is the father of A , What is the degree of B

A) 1 B) 2 C) 3 D) 4

29 A sparse matrix is

A) A matrix with very few data elements

B) A matrix with minimum no. of zeros

C) A matrix with zero at diagonal elements

D) A matrix with dense data

30 In the Fast Fourier Transform the multiplication of the polynomial is done in

A) O(n2) B) O(nlogn) C) O(logn) D)O(nlogn) + O(n) + O(logn)

31 The type of PRAM Model that is not available in parallel algorithms is

A) CRCW

B) EREW

C) RECW

D) ERCW

32 The lower bound for the Travelling Salesman Matrix

A B C D

A 1 4 5

B 3 1 2

C 2 4 3

D 5 2 6

A) 4 B) 5 C) 6 D)7 E) 8

33 In Genetic Programming The mutation means

A) The Bit values are interchanged B) The Bit values are shuffled C) The Bit values are moved left D) The bit value at a randomly chosen position is inverted

34 Pick out the wrong one in context of the genetic programming

A) survival of the fittest B) The Weak will die first C) Show your usefulness to be loved D) The population consists of all the permutationsquotesdbs_dbs4.pdfusesText_8