Solution: Apply integral test: Z Z ln R 1 X R 2 1 p dx x (ln x) p=1 p 6= 1 let ln (x) = u then ln 2 so that when p = 1 and p < 1 integral diverges by letting R ! 1‚ so does the series. When p > 1 then integral converges to ! 1 p 1 p 1 p (ln R) (ln 2) (ln 2) lim = ‚ R!1 1 p 1 p 1 p so does the series. 2. (18 pts.) Find the in…nite sum 1 : n (n + 2) n=1 Solution: See that 1 1 = n (n + 2) n 1 n+2 1 X 8 R < ln ujln 2 ln 1 ln R du = 1 p : u p up 1 ln 2 hence 1 n (n + 2) n=1 k X
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Title Page: Module Code: FC 511 2T Module Title: Skills for study Tutor Name: Emma Duffy Assessment title: Formative Lab Report: Enthalpy of Combustion of Butanol Student ID Number: 201233920 Date of submission: 6/3/2017 Past tense recapping what you did in the experiment Present tense explain theory and compare theory THINGS TO IMPROVE : Reference Introduction Discussion Avoid Plagiarism Table of Contents Introduction P.3 Aim Materials
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Kiwi Series #1 My choice of artwork for this essay is titled Kiwi Series # 1. This painting is made by Dennis Wojtkiewicz in 2005. The size of this painting is 36 by 66 inches. The medium used in this painting is the oil on canvas. I chose this painting because it appeals to my sense of aesthetics and also it has the most interesting use of texture. This painting is an excellent example of our sight being able to activate other senses. The presentation of the translucent fruit and fuzzy skin is
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which it can leave a mark. The measurement for the vertical displacement‚ the handmade ball catcher is suspended with light string‚ as the collision occur‚ the ball catcher starts to rotate in circular until it reaches the maximum height‚ this can increase or decrease the measurement of height and make it harder to record the precise measurement for vertical displacement. Data Table 1(kinematic experiment). The horizontal displacement of the ball when the mass of the ball‚ angle of release
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December 2008 SDL SERIES‚ ARTICLE #4 SDL Series - Article #4: Threat Modeling at Microsoft In this fourth article in the series‚ we examine how Microsoft uses a technique known as “threat modeling” to detect design issues that could result in product vulnerabilities. Threat modeling is one component of the Microsoft Security Development Lifecycle (SDL). Content The Microsoft SDL What is Threat Modeling? A Security Frame of Mind The Threat Modeling Process Mitigating Threats Threat Modeling
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Qualitative Observations of Double Displacement Reactions Lab Table 1.0 Qualitative Observation of Products Formed |Balanced Chemical Equations |Qualitative Observations | |BaCl2 (aq) + 2NaOH (aq)( BaOH2(aq) + 2NaCl(s) |An aqueous solution formed | | |Precipitate
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Chemistry Practical: Activity Series of Metals Introduction: The chemical activity of a metal is directly related to its practical use. In this investigation you will investigate the chemical activity of metals with oxygen‚ water‚ acid and alkali‚ to rank metals in order of their activity. Aim: To observe the reactivity of metals in order to determine the activity series of metals. Risk Assessment: In this investigation‚ hydrochloric acid solution is used which is toxic by all routes of
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calcium chloride and they form a solid precipitate. Then we poured it a funnel with a filter paper to get the solid precipitate. Purpose ● The purposed of the lab is to lets us student know if we know how calculate the percent yield of a double displacement reaction while using the grams that we get from our lab. Objectives ● We need to know the solid precipitate that had been formed in the
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Using Hooke’s Law‚ apparatus weights and 2 types of spring was computed for the spring constant. By performing more than three trials and increasing the weights 10g per trial‚ the behavior of the spring constant was observed with varying force and displacement. With the spring constant obtained‚ the work done on the spring can also be calculated. II. Introduction The experiment defines elasticity which is the ability of an object to return to its original length and shape after the deforming forces
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A double displacement reaction is a type of chemical reaction in which two compounds react in order to create two new chemicals. The two cations and anions switch places with each other which forms two new compounds. As an example AB+CC can switch to AD+CB. Both sides of these equations must balance out in order to be neutral. So any pairs of compounds (such as A+B) must have a total balanced charge. In this example A could have a charge of positive 2 (+2) and B could have a charge of negative
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