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b) Find f^(')(x) for f(x)=(x^(2) 2)^(5) b) Find f '(x) for f(x) = $(x^2 + 2)^5$

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A beam rests on a hinged support at B and a spring support at C. A concentrated load P (10 N) acts at the end of the beam at A. Span AB has 5 m length, the span BC has 10 m length, and the spring has 10 kN/m spring constant ($k$). Young's modulus ($E$) of the beam is 200 GPa. Provide answers to the following questions: a) Calculate reactions at support B and C and obtain internal bending moment in the whole range of the beam b) Determine the displacement ($\delta_A$) and indicate the displacement direction at A by equating the work done during loading to the strain energy c) Determine the displacement ($\delta_A$) and indicate the displacement direction at A by using Castigliano's theorem Note: Disregard beam weight and shear deformation. Assume that no torsional force occurs in the beam.

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MCO Which of these sets is linearly independent? (A) The set $S = \{v_1, v_2, ..., v_r\}$ be a set of vectors in $R^n$ if $r > n$. (B) The set that contains two vector such that one is given by the multiplication scalar of the other. (C) The set that contains only the zero vector. (D) The standard unit vectors $\{e_1 = (1, 0, 0), e_2 = (0, 1, 0), e_3 = (0, 0, 1)\}$ in the vector space $R^3$. Question: $B_1$ $B_2$ $B_3$ Show that the set $B = \{2 + 5x, 2 + x^2, 1 + x + 4x^2\}$ form a basis for $P_2(x)$.

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Cialdini's Seven Principles of Persuasion Which of Cialdini principle of persuasion does this describe? "We see this factor clearly at work in local sport team supporters, religion, members of the same race or ethnicity, or even the same city. People who belong to the same group are more likely to persuade us then outsiders." Group of answer choices Reciprocity Social proof Scarcity Liking Unity Commitment and Consistency Authority

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A company manufactures two products, A and B, on two machines, I and II. It has been determined that the company will realize a profit of $7/unit of Product A and a profit of $8/unit of Product B. To manufacture 1 unit of Product A requires 6 min on Machine I and 5 min on Machine II. To manufacture 1 unit of Product B requires 9 min on Machine I and 4 min on Machine II. There are 5 hr of machine time available on Machine I and 3 hr of machine time available on Machine II in each work shift. How many units of each product should be produced in each shift to maximize the company's profit? Product A units Product B units What is the largest profit the company can realize? $ Is there any time left unused on the machines? (If so, give the number of minutes remaining. If not, enter 0.) Machine I min Machine II min

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Amplitude -10 -20 -30 0 20 10 0 Different Plot with New Curves Curve 4 Curve 5 Curve 6 2 4 6 8 10 Time (s)

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Texts: This weekend, Martha has time to read 40 pages of economics and 30 pages of marketing books. Alternatively, she could read 10 pages of economics book and 90 pages of marketing book. Which of these equations describes all combinations of pages of economics, E, and marketing, M, that she could read over the weekend? Please show your work. a. E/2 + M = 50. b. E + M = 100. c. E + M = 70. d. 2E + M = 110. 2. Jane has indifference curves that have two goods with the equation X2 = constant - 4(X1)^(1/2), where larger constants correspond to higher indifference curves. If X1 (good 1) is drawn on the horizontal axis and X2 (good 2) on the vertical axis, what is the slope of Jane’s indifference curve when her consumption bundle is (36, 10)?

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Exercise 1 Evaluate \iint_\Sigma f(x, y, z)dS in each of the following cases: 6. f(x, y, z) = z, where \Sigma is the part of the paraboloid z = x^2 + y^2 that lies under the plane z = 4.

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C) Display the out put of the programs below y = 3; for x = 1:10 fprintf('%5d',x) if (x>y) break; end end [2.5 Marks] Question 5 A) Write the MATLAB statements required to calculate and print out the squares of all the even integers between 0 and 20. Create a table consisting of each integer and its square with appropriate labels over each column. [3 Marks] B) Use MATLAB script expression to get the roots of the polynomial $f(x)$ in a form of array and evaluate the values of the polynomial at -2 ? x ? 5. Plot the polynomial with x. $f(x) = 9x^3 - 5x^2 + 3x + 7$

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Electrical Machines Sample Questions: 1- What are the outcomes in terms of losses under no load condition in a transformer? 2- What is eddy current loss and how it minimized in transformer? 3- How magnetic coupling between primary and secondary winding of transformer increases? 4- If supply frequency of a transformer increases, what will be the secondary output voltage of the transformer? 5- Write the equation of EMF of a transformer? 6- What is the purpose of iron core in the transformer? 7- Why transformer cannot operate on DC supply? 8- What is the basic difference between transformer sand amplifies? 9- What is Lenz's law? 10-In which type of transformer there is only one winding?

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benjamin w.