BIRLA INSTITUTE OF TECHNOLOGY AND SCIENCE‚ PILANI - K.K. BIRLA GOA CAMPUS Mathematics-2 Tutorial–1 1. Use the Gaussian elimination method to solve each of the following systems of linear equations: (a) −5x1 − 2x2 + 2x3 = 14 3x1 + x2 − x3 = −8 2x1 + 2x2 − x3 = −3 (b) 3x1 − 2x2 + 4x3 = −54 −x1 + x2 − 2x3 = 20 5x1 − 4x2 + 8x3 = −83 2. Find the quadratic equation y = ax2 + bx + c that goes through the points (3‚ 18)‚ (2‚ 9) and (−2‚ 13). 3. Use the Gauss Jordan method to determine the complete solution
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interest rate of r percent‚ then total proceeds at the end of the second year will be: [100 (1 + r) + 1100]. Therefore‚ realized compound yield to maturity will be a function of r as given in the following table: r Total proceeds Realized YTM = = 1 8% $1‚208 – 1 = 0.0991 = 9.91% 10% $1‚210 – 1 = 0.1000 = 10.00% 12% $1‚212 – 1 = 0.1009 = 10.09% HPR = Time-weighted average returns are based on year-by-year rates of return. Portfolio= (1-y)(risk free) + (y)(equity index) Year Return = [(Capital
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TVM Exercises Be sure to use the following format for your answers: TVM Table (X%‚ Xn) Pmt (factor) Answer 1. You invest $5‚000 at 6% compounded annually for 10 years. How much will you have at the end of year 10? FV Table (6%‚ 10n) $5‚000 (1.791) $8‚955 2. You need $200‚000 10 years from now and know of an investment that pays a 10% return. How much do you need to invest today to achieve your goal? PV Table (10%‚ 10n) $200‚000 (0.386) $77‚200 3. You are required to
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and differences across species. ________________________________________ 7. Which branch of microscopic anatomy is the study of tissues? A. Histology B. Cytology C. Embryology D. Developmental anatomy E. Surgical anatomy 8. Cytology is a subdivision of gross anatomy. True False 9. Gross anatomy refers to the study of: A. cells. B. structures formed by cells. C. structures not visible to the unaided eye. D. structures visible to the unaided eye
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exercising to entertain them selves. This directly affects the large number of obese children in our country today because of the lack of physical exercise. It is not that we want our kids to look a certain way or to be better at sports than everyone else‚ but it is that we want our kids to be physically fit and to develop a healthy lifestyle. Physical exercise is not only for adults‚ it is for children as well‚ so we must understand the importance of our children exercising and the benefits from it.
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The Importance of Exercise Exercising is a key component of living a healthy life. “Regular exercise is necessary for physical fitness and good health. It reduces the risk of heart disease‚ cancer‚ high blood pressure‚ diabetes and other diseases. In my generation exercising can be over looked.”(Why is) People seem to be consumed more with television shows‚ fast food‚ and other unhealthy activities. “The average American watches three and a half hours of television every day. That adds up to 56
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Week 2 Individual Assignment Chapter 1 – Exercises 1-1 1. A 3. D 4. C 5. B 7. D 8. C Chapter 2 12. What is a CAFR? What are its main components? A CAFR is the Comprehensive Annual Financial Report for cities‚ states‚ and counties. This report summarizes the agencies financial statements as well as demographical information for a wide list of users such as taxpayers. The three main components of a CAFR are the introductory section‚ financial section‚ and statistical section. The introductory
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passing it to the OT; bilateral exercises( jumping jacks‚ cross crawls‚ squats‚ tree pose‚ toe touches‚ x-jumps) x20; catch and throw ball 10x and wheelbarrow activity using shapes to improve self-regulation‚ body awareness‚ and work behaviors to facilitate learning and in preparation for table top activities. -Prewriting exercise: using a marker and a chalkboard while connecting dots to form horizontal lines to improve school readiness. -5 steps of obstacle course for 8 rounds:
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The t-test for dependent groups is a parametric analysis technique used to determine statistical differences between two related samples or groups. Groups are dependent or related because they were matched as part of the design to ensure similarities between the two groups and thus reduce the effect of extraneous variables. For example‚ two groups might be matched on gender so an equal number of males and females are in each group‚ thus reducing the extraneous effect of gender on the study results
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EXERCISE IN STATISTICS Below are hypothetical data. (1) Organize them in bivariate tables to answer the problems below. Determine the statistics to use for each. 1. Are sex and occupation associated? 2. Are age and income correlated? 3. Are educational attainment and sex associated? 4. Are civil status and occupation associated? 5. Are occupation and income related N>E> you may use data transformation (from interval data to nominal data) Respondent No. Age Sex Civil Status Educational attainment
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