Recent content by SpatialVacancy

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    How Do You Calculate Electrical Usage and Component Specifications?

    Need help on these problems! Hello all, I just need a little direction on these problems. Any help that you could give me would be appreciated. 1) A typical american family used 900 kWh of electricity a month. What is the average current in the 120 V power line to the house? On average...
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    Proving Algorithm for Searching Sorted Array

    I have to come up with an algorithm to search a sorted array. Here it is: def binarySearch(inputArray, match): x = -1 start = 0 end = len(inputArray) - 1 while not start == end: midPt = (start + end) / 2 if match < inputArray[midPt]: end = midPt - 1...
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    How Does Vertex Degree Range Affect Edge Count in a Graph?

    Help me with a proof! Suppose that G is a graph with v vertices and e edges and that the degree of each vertex is at least d_{min} and at most d_{max}. Show that: \dfrac{1}{2}d_{min}\ \cdot\ v \ \leq \ e \ \leq \ \dfrac{1}{2}d_{max}\ \cdot\ v I don't have an idea of where to...
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    Constructing Proofs: Solving Set Functions with Characteristic Functions

    Constructing Proofs help! Here is the problem: Given a set S and subset A, the characteristic function of A, denoted \chi_A, is the function defined from S to \mathbb{Z} with the property that for all u \ \epsilon \ S: \chi_A(u)= \begin{cases} 1 & \text{if u $ \epsilon \ A$} \\ 0...
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    Can Set Theory Identity (A-B) ∪ (B-C) = (A ∪ B) - (B ∩ C) Be Proven?

    Help me construct a proof! Consider the following set property: For all sets A, B, and C, (A-B) \cup (B-C) = (A \cup B) - (B \cap C). a) Use an element argument to derive this property. b) Use an algebraic argument to derive this property. Ok, for part (a), I know that I need to...
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    Proving Irrationality of \sqrt[3]{3}

    Hello all, Prove that \sqrt[3]{3} is irrational. Heres what I have so far: \sqrt[3]{3}=\dfrac{m}{n} 3=\dfrac{m^3}{n^3} m^3=3n^3 Now, I think I am to assume that there is more than one factor of three on the right, or something, I don't know. Can someone point me in the right...
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    Discrete Math Help: Is x Rational?

    Ok, I solved and got this: x=\dfrac{ay}{y-a} and x=\dfrac{bz}{z-b} and y=\dfrac{cz}{z-c}. I then solved for z and got z=\dfrac{aby}{(a-b)y+ab}. I just canceled the y's and was left with z=\dfrac{ab}{(a-b)+ab}. I plugged this in for z in the second equation, and got z=\dfrac{b...
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    Discrete Math Help: Is x Rational?

    Discrete Math Help! Here is the problem: Suppose a, b, and c are integers and x, y, and z are nonzero real numbers that satisfy the following equations: \dfrac{xy}{x+y}=a and \dfrac{xz}{x+z}=b and \dfrac{yz}{y+z}=c . Is x rational? If so, express it as a ratio of two integers...
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    Solving Film Projection & Telescope Questions

    URGENT Can you please help! Hello, I have just finished what seems like an infinite amount of questions for this lab report. 2 of them I am just not sure how to proceed. Any help would be appreciated. Question 1: In a film projection apparatus, it is desired to produce pictures 12 ft...
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    Solving Physics Lab Report Questions

    Im not sure that is right. How does it take into consideration the other parameters of the problem?
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    Solving Physics Lab Report Questions

    Hello, I have just finished what seems like an infinite amount of questions for this lab report. 2 of them I am just not sure how to proceed. Any help would be appreciated. Question 1: In a film projection apparatus, it is desired to produce pictures 12 ft wide on a screen 50 ft from the...
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    Solve Heating Water Problem: 100-W Electric Heater

    Hello all, I do not know how to solve this proble and was wondering if you could offer some guidance. Question: How long after it is turned on will a 100-W electric heater take to bring a quart of water to a boil from room temperature 20 deg C? Here's what I know: T_i=20 T_f=100...
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    Electricity & Magnetism Tutorials - Need Help with Gauss's Law

    Hello, I was wondering if anyone has any links to any Electricity & Magnetism tutorials. I don't understand very well and was hoping for maybe an online book or something. Our lecture textbook sucks. We are doing Gauss's Law. Thanks!
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    I don't understand this question

    I do not understand this question. Can someone restate it? Show why the field between two large but closely spaced parallel plates carrying equal but opposite charges should be uniform in the region not too near the edges. Use any method you can understand and explain.
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    Deriving V-E Relation for Uniformly Charged Rod at Radial Distance r > a"

    Could someone help me out on this problem? Derive a relation between the potential V and the magnitude of the Field E at a radial distance r from the axis of a very long uniformly charged rod of radius a ( r > a ).
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