Ultimate Engineering Study Guide - Questions & Answers

Use Monte Carlo Integration to compute the value of the integral of the following function over the given area: f(x,y) = xy log(x+y)+7 ; 1
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Design a circuit that make a tone of the buzzer 75% of the time on and 25% of the time off.( using arduino and proteus)
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The Wind Chill Factor (WCF) measures how cold it feels with a given air tem- perature T (in degrees Fahrenheit) and wind speed V (in miles per hour]. One formula for WCF is WCF = 35.7 +0.6 T 35.7 (v.6) + 0.43 T (V6) Write a function to receive the temperature and wind speed as input arguments. and return the WCF. Using loops, print a table showing wind chill factors for temperatures ranging from -20 to 55. and wind speeds ranging from 0 to 55 Call the function to calculate each wind chill factor
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1. Can a simple directed graph G = (V.E) with at least three vertices and the property that degt (v) + deg (v) = 1, Wv V exist or not? Show an example of such a graph if it exists or explain why it cannot exist. 2. Is a four-dimensional hypercube bipartite? If yes, show the blue-red coloring of the nodes. Otherwise, explain why the graph is not bipartite. 3. What is the sum of the entries in a row of the adjacency matrix for a pseudograph (where multiple edges and loops are allowed)? 4. Determine whether the given pair of graphs is isomorphic. Exhibit an isomorphism or provide a rigorous argument that none exists.
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Let X1=[1,0,2,-1] , X2=[-1,1,0,1] , and X3=[2,0,0,-2] and let W=Span{X1, X2 , X3}.Find an orthonormal basis for W.
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a) Construct the DAG for the expression [8 Marks] DAG for t (((p+q)*(p-q))*(p+q)) *(((p+q)*(p-q)) / (p+q)) b) Write quadruple and triples for following expression: (a + b)* (b+ c) + (a + b + c)
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(a) What is the probability that an integer between 1 and 10,000 has exactly three 5's and one 3? (b) How many ways are there to distribute 50 identical jelly beans among six children if each child must get at least one jelly bean? (c) How many ways are there to distribute 21 different toys among six children (Alex, Ella, Jacqueline, Kelly, Rob, Stephen), if two children gets 6 toys, three children get 2 toys and one child get 3 toys? (d) How many "words" can be formed by rearranging INQUIRING (3 I's, 2 N's, 1 Q, 1 U, 1 R, 1G) so that U does not immediately follow Q? (e) If a person owns 6 mutual funds (each with at least one stock), where (i) these mutual funds together have a total of 61 stocks and (ii) the largest fund is Zillow, what is (A) the smallest number of stocks in Zillow and (B) the largest number of stocks in Zillow?
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Find the sum of all the multiples of 26 but not 10 in the positive integer from 1000 to 15000. (25%)
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1. Use Finite Differences to approximate solutions to the linear BVPs with n = 4 subin- tervals. (a) y+e y(0) 0 1 y(1) -e 3 te (0,1); (1) (2) (3) (4) (b) y" (2 + 47) 1 y(0) y(1) (5) (6) (7) (8) e (0,1); (c) Plot the solutions from parts (a) and (b) on the same plot.
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The order of precedence in statements involving mathematical expressions is left to right, indicate the correct order: a) Exponentiation; Inside parentheses; Multiplication and division: Addition and subtraction b) Inside parentheses; Exponentiation Addition and subtraction; Multiplication and divisionc) Addition and subtraction; Exponentiation, Inside parentheses; Multiplication and division d) Inside parentheses; Exponentiation; Multiplication and division; Addition and subtraction
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Write an anonymous function for f(x) and plot it over the domain 0
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Complete the following class UML design class diagram by filling in all the sections based on the information below. Explain how is it different from domain class diagram? The class name is Building, and it is a concrete entity class. All three attributes are private strings with initial null values. The attribute building identifier has the property of "key." The other attributes are the manufacturer of the building and the location of the building. Provide at least two relevant methods for this class. Class Name: Attribute Names: Method Names:
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5i=1 4j=1 ijWhat is the value of this summation? - 50 - 20 - 150 - None of these Answers - 15- 100
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(c) Given three points x=(2.3), x2=(3,4), x3=(2,4). Find the kernel matrix using the Gaussian kernel assuming that o = 5
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You have 15 marbles and three jars labeled A, B, and C. How many ways can you put the marbles into the jars... a. if each marble is different? b. if each marble is the same? c. if each marble is the same and each jar must have at least two marbles? d. if each marble is the same but each jar can have at most 6 marbles? e. if you have 10 identical red marbles and 5 identical blue marbles? For each problem, display the final numerical answer and the equation(s) used to form the answer. Leave combinations, permutations, factorials, and exponents intact. Good example: C(6, 3) C(5, 2) = 10 Bad examples: 10 no equation C(6, 3)C(5, 2) no final answer 2010 = 10 did not leave combinations intact
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Mr. Blue Tiger wants to create his own version of fibonacci sequence. Since 3 is his favorite number, he decides that any element should be the sum of its previous three elements. Can you help him figure out the time complexity of his recursive function? Select All the answers that are correct, and state your reason. int TigerNacci (unsigned int n) { 2 if (n < 3) return 1; 3 return TigerNacci (n-1) + Tiger Nacci (n - 2) + TigerNacci(n 3); i) (n log n) ii) (3" log n) iii) O(3" log n) iv) (3) v) (n log n) vi) (2" log n) vii) O(2" log n) viii) (2) (a) Derive the recurrence relation of the TigerNacci function complexity. (Hint: Can you use master theorem here?) Solution: then find out its time
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Consider line function f(x,y) = 3x - 2y-6+Z, where Z is your student number mod 3. a) By using DDA algorithm, b) By using Bresenham algorithm, Show your steps and find the pixels to be colored between x = -1 and x=(4+Z).
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Identify the independent and dependent variables in the following research questions a) RQ1: How does phone use before bedtime affect the length and quality of sleep? [2 Marks] b) RQ2: What is the influence of input medium on chatbot accuracy? [2 Marks] c) RQ3: What is the role of virtual reality in improving health outcomes for older adults? [2 Marks] d) RQ4: What is the influence of violent video gameplay on violent behavioural tendencies in teenagers? [2 Marks] e) RQ5: What is the influence of extended social media use on the mental health of teenagers? [2 Marks] B2. a) Describe what is meant by internal and external consistency. Give an example of both kinds of consistency in the context of a video conferencing application. [4 Marks] b) Define affordance and give an example of affordance in the context of a cash machine interface. [6 Marks] B3. a) Define physical constraints and give an example in the context of a cash machine interface [4 Marks] b) Name four characteristics of good experiments [2 Marks] c) List and explain two cognitive levels on which designers try to reach users when designing emotional interactions.
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In this problem, you are to create a Point class and a Triangle class. The Point class has the following data: 1. x: the x coordinate 2. y: the y coordinate The Triangle class has the following data 1. pts: a list containing the points You are to add functions/methods to the classes as required bythe main program. Input This problem do not expect any input. Output The output is expected as follows: 10.0 8.0
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Solve using phyton Code5. Find c> 0 so that the boundary value problem y" = cy(1-y), 0x1 y (0) = 0 y( ) = 1/ (y(1) = 1 is solvable. To do this, perform the following. (a) Using the finite difference method, solve the boundary value problem formed by consid- ering only two of the boundary conditions, say y(0) = 0 and y(1) = 1. = 0 (b) Let g(c) be the discrepancy at the third boundary condition y() = 1. Solve g(c) to within 6 correct decimal places, using one of the numerical methods for nonlinear equations (Bisection Method, Newton's Method, Fixed Point Iteration, Secant Method). (c) Once c is obtained, plot the solution to the boundary value problem.
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A quadratic equation has the form of ax+bx+c = 0. This equation has two solutions for the value of x given by the quadratic formula: - b b - 4ac 2a x = Write a function that can find the solutions to a quadratic equation. The input to the function should be the values of coefficients a, b, and c. The outputs should be the two values given by the quadratic formula. You may start your function with the following code chunk:def quadratic (a,b,c): A function that computes the real roots of a quadratic equation : ax ^2+bx+c=0. ***** Apply your function when a,b,c=3,4,-2. Give the name of question4
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AL Khwarizmi developed a way to multiply. To multiply two decimal numbers x and y, write them next to each other, as in the figure, then repeat the following: divide the first number (left) by 2, round down the result(that is dropping the 0.5 if the number was odd), and double the second number. Keep going till the first number gets down to 1. Then strike out all the rows in which the first number is even, and add up whatever remains in the second column. Please use the above method to multiply 29 and 12, draw the figure as the given example. (10') 11 13 5 26 2 52 (strike out) 1 104 143 (answer)
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A = [[12,17,49,61],[38,18,82,77],[83,53,12,10], [8,1,8,7],[3,8,2,7],[83,503,120,100],[3,3,2,0], [8,5,1,1]]. how many lists are there in array A? - no lists - 32 - 4 - 8
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Draw an ER diagram to keep track data about college students, their academic advisors, the clubs they belong to. Use cardinality ratio and participation constraints to indicate the relationship constraints.a. Each student has a name, unique id, and a major, phone number, and address. Assume each student is assigned to one faculty as academic advisor and one advisor advises many students.b. Each faculty has a unique number, name, and office location. Student can belong to any number of clubs.c. A club has a unique name, budget, meeting day and meeting time. The club must have some student members in order to exist, and clubs can sponsor any number of activities.d. Each activity has a unique id, type, date, time, and location. Each activity is sponsored by exactly one club. Each club is moderated by one faculty. A faculty may moderate more than one clubs.
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