Formulas (to differential equations) Math. A3‚ Midterm Test I. sin2 x + cos2 x = 1 sin(x ± y) = sin x cos y ± cos x sin y tan(x ± y) = tan x±tan y 1∓tan x·tan y differentiation rules: (cu) = cu ′ ′ ′ ′ ′ (c is constant) cos(x ± y) = cos x cos y ∓ sin x sin y (u + v) = u + v (uv)′ = u′ v + uv ′ ′ ′ u ′ = u v−uv v v2 df dg d dx f (g(x)) = dg dx sin 2x = 2 sin x cos x tan 2x = sin x = 2 cos 2x = cos2 x − sin2 x 2 tan x 1−tan2 x 1−cos 2x ‚ 2 integration rules: cos x = 2
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Puzzle: Who Got More? Mrs Mess was buying a set of garden furniture. The bill was seventy rupees. She gave the attendant what she thought were two ₹50 notes‚ (actually two ₹100 notes). The attendant was sleepy and didn’t notice either‚ so he gave Mrs Mess what he thought were three ₹10 notes (actually three ₹50 notes). Who ended up better off than they should? Solution: Mrs Mess comes away better off than she should‚ by ₹20 in fact. Despite the warning in the title‚ Mrs Mess did pay
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FATHER INVOLVEMENT IN CHINESE AMERICAN FAMILIES AND CHILDREN’S SOCIO-EMOTIONAL DEVELOPMENT Lillian Elizabeth Wu B.A.‚ University of California‚ Berkeley‚ 2005 THESIS Submitted in partial satisfaction of the requirements for the degree of MASTER OF ARTS in EARLY CHILDHOOD EDUCATION at CALIFORNIA STATE UNIVERSITY‚ SACRAMENTO FALL 2009 FATHER INVOLVEMENT IN CHINESE AMERICAN FAMILIES AND CHILDREN’S SOCIO-EMOTIONAL DEVELOPMENT A Thesis by Lillian Elizabeth Wu Approved
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Ma KEY STAGE 2 LEVELS 2005 3– 5 2005 This booklet contains CONFIDENTIAL test questions. It MUST BE KEPT SECURE. It should not be opened until the mental mathematics test is due to start on Thursday 12 May. Early opening‚ up to one hour before the test starts‚ is permissible only if papers are needed for administrative purposes. Mathematics tests Mental mathematics test Audiotape/CD transcript This booklet contains a transcript of the key stage 2 mental mathematics test
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Taras Malsky MT.1102 AB Dr.S.Washburn Egyptian Math The use of organized mathematics in Egypt has been dated back to the third millennium BC. Egyptian mathematics was dominated by arithmetic‚ with an emphasis on measurement and calculation in geometry. With their vast knowledge of geometry‚ they were able to correctly calculate the areas of triangles‚ rectangles‚ and trapezoids and the volumes of figures such as bricks‚ cylinders‚ and pyramids. They were also able to build the Great Pyramid
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paper; that is‚ different people can be expected to reflect uniquely on the simulation experience. Just think about your simulation experience for a while and then write about what stands out to you. 3. You should keep in mind that this is a capstone/strategy class; accordingly‚ your "reflections" may address strategic (rare‚ consequential‚ directive) issues‚ as well as varied authors‚ topics‚ and business functions. 4. It is appropriate for you to reflect on the simulation in relation to
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Certain Cash Contributions for Typhoon Haiyan Relief Efforts in the Philippines Can Be Deducted on Your 2013 Tax Return A new law allows you to choose to deduct certain charitable contributions of money on your 2013 tax return instead of your 2014 return. The contributions must have been made after March 25‚ 2014‚ and before April 15‚ 2014‚ for the relief of victims in the Republic of the Philippines affected by the November 8‚ 2013‚ typhoon. Contributions of money include contributions made
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Week 9 Discussion 2 Database Penetration Please respond to the following: • Describe the basic framework or make-up of any database. Discuss what makes databases important as well as a major target to hackers. • Describe the most prominent signs that a database attack has occurred. Discuss the steps one would take to recover from such an attack. Explain how such attacks can be prevented. Database penetration testing is the technique of testing a database for vulnerabilities to hacking attacks
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Statistical Report The Relationships between Location‚ Income‚ and Credit Balance for the customers of AJ Davis Department Store Math 533 Course Project Part A AJ DAVIS DEPARTMENT STORES AJ Davis Department Store Customer Research A. Brief Introduction The department store AJ Davis would like to find out more information about their customers. A sample of 50 credit customers is selected with data collected on the following five variables: 1. LOCATION (Rural‚ Urban‚ Suburban)
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one for $9.00 and one for $84.25. He then deposits $95.00. Finally‚ he uses his calculator to determine his new balance. Which one of the following series represents the correct order in which he should press the keys on his calculator? A. 118 – 9 – 84.25 + 95 6. The major difference between a calculator and a computer‚ when performing calculations‚ is that a A. calculator is slower and needs more human assistance. 7. Which of the following devices imparts ownership in a corporation
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