Example 1: Does the curve y = 2x3 – 2 crosses the x-axis between x = 0 and x = 2? Solution: Solving for the given values of x‚ at x = 0‚ then y = 2(0)3 – 2 = -2‚ the curve is below the x-axis at x = 2‚ y = 2(2)3 – 2 = 16 – 2 = 14‚ the curve is above the x-axis‚ So the curve crosses the x-axis between x = 0 and x = 2 since y = 2x3 – 2 has a solution found between this interval. Example 2: From the curve y = x5 - 2x3 – 2‚ is there a solution between x = 1 and x = 2? Solution: Using the given
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Question 1 0 out of 2 points What are the odds of picking a “g” in the word Georgia? Selected Answer: 2:07 Correct Answer: 2:05 Response Feedback: Success : Failure Question 2 2 out of 2 points The odds that you will pick a heart from a standard deck of 52 cards is 13:39. Selected Answer: TRUE Correct Answer: TRUE Response Feedback: Success : Failure Question 3 0 out of 2 points The odds that you will pick a spade from a standard deck of 52 cards is
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consumer would be worse off. Pareto efficiency is extremely useful for economists; The First Welfare Theorem states that when producers and consumers both are price takers‚ the equilibrium allocation is always Pareto efficient. Hence‚ a competitive economy essentially will automatically’ allocate resources efficiently as consumers can maximize their utilities. The Second Welfare Theorem states that any market that is Pareto efficient will have a set of given prices that creates competitive equilibrium
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is added. Similar step is repeated using Semicircle and Quadrant that is we add 2N load continuously until 14N and take the dial reading. For theoretical value we use the Castigliano’s Theorem‚ theoretical value of deflection can be calculated. Through this experiment‚ the validity of the Castigliano’s Theorem in curved beam can be proven.Comparison is made between the measured deflection values and theoretical deflection values. Among reasons for discrepancies are likely the parallax errors when
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The ancient Greek mathematician Euclid influenced mathematics in a large way after developing the Pythagorean theorem. His theorem (written around 300 B.C.) stated that “If two straight lines cut one another‚ the vertical‚ or opposite‚ angles shall be the same” (Doc. 5). Euclid wrote this theorem to set a base rule to help find the sum of the angles of a triangle. The Pythagorean theorem is still used today in mathematics thanks to Euclid’s contribution to society. Perhaps the most famous piece
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Theory is associated with British economist Ronald Coase‚ who used the term Transaction cost excessively to explain why firms to accomplish a number of tasks use in House capabilities and for the other part use external providers-market. A good illustration is when internal Transaction costs go up the firm is more likely to outsource and vice versa if external Transaction costs exceed Internal then firm should perform these tasks in House. Ronald Coase received a Nobel Prize "for his discovery and clarification
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Thevenin’s Theorem 1. What is Thevenin’s theorem? What purpose does it serve? Thevenin’s theorem states that any resistive circuit or network‚ no matter how complex‚ can be represented as a voltage source in series with a source resistance. It is used to simplify the load analysis of series-parallel circuits. 2. What is VTH ? How is it measured? Thevenin voltage. In a series-parallel circuit is the voltage present at the output terminals of the circuit when the load is removed. Even though it
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Chhattisgarh Swami Vivekanand Technical University‚ Bhilai SCHEME OF TEACHING AND EXAMINATION BE (ELECTRICAL ENGINEERING) III Semester Sl.No. Board of Studies Subject Subject Code Periods per week L T P Scheme of Exam Theory/Practical ESE CT TA Total Credit L+(T+P) /2 Marks Appl. Mathematics 324351(14) Mathematics III 3 1 80 20 20 120 4 2 Electrical Engg. 324352(24) Electrical Machines -I 4 1 80 20 20 120
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2 1[1 Introduction segment PQ: In Euclidean geometry the perpendicular distance between the rays remains equal to the distance from P to Q as we move to the right. However‚ in the early nineteenth century two alternative geometries were proposed. In hyperbolic geometry (from the Greek hyperballein‚ "to exceed") the distance between the rays increases. In elliptic geometry (from the Greek elleipein‚ "to fall short") the distance decreases and the rays eventually meet. These non-Euclidean geometries
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all the mathematicians of his time‚ his work was the most discussed and argued about. Ptolemy gave the name to the Ptolemy’s Planetary theory. The book is mostly devoted to astronomy and astronomy. Ptolemy’s theorem was a powerful result. With its help we established the Pythagorean Theorem. Combined with the
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