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pi

bccalcclassact4cdifferentials

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Name: ____________________ Date: ____________________ AP Calculus BC Class Activity 4c: Differentials Given , use a tangent line through to approximate g (1.1) to three decimal places. Use calculus to approximate . The measurement of an edge of a cubic box is found to be 12 inches with a possible error of inch. Use differentials to find the greatest possible error in calculating the volume of the box. The radius of a spherical balloon is measured to be 6 inches. . The possible error in calculating the radius is 0.2 inches. Use differentials to find the greatest possible error in calculating the volume of the sphere. Find the largest possible value for the actual volume of the spherical balloon.

Early Society in East Asia

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Kinberg, Nicholas Michael Chakmakian AP World History 23 June 2015 Chapter 5 Outline East Asia Sage-kings, Yao, Shun, Yu, created China Yao was associated with mt., modest, sincere, respectful Brought harmony to fam., society, China Shun succeeded Yao/ordered 4 seasons/instituted weights, measures, units of time Yu, rescued China from flooding Yellow River Before Yu, ppl. Tried to ctrl. Yellow River by building dikes River was too large; Yu dammed River; dredged river to deepen channel/minimize floods, dug canals parallel to river so that water would flow safely Yu worked for 13 yrs. Without returning home Passed gate to home/heard fam. Crying, still worked Made it possible to cultivate rice/millet, became hero Founded Xia dynasty, 1st rulers of China

Weather Station Models

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87 87 87 How to convert between station model number and actual barometric pressure: If the first number is less than or equal to 5, place a 10 in front of the number and a decimal between the last two digits If the first number is greater than 5 place a nine in front of the number and a decimal between the last two digits. * * *
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Bob Jones PPT Notes -- Chapter 3b

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Measurements Reporting 1 how close a measurement or the average of several measurements is to the established or theoretical value accuracy Accuracy How close you are to the correct answer Small percent error ? 100% Percent Error O ? A A percent error = Your answer is 2351. The correct answer is 2048. What is your percent error? 2351 ? 2048 2048 ? 100 = 14.79% Sample Problem how close several measurements of the same event are to each other how reproducible the results are precision precise but not accurate 9.75 sec 9.74 sec 9.73 sec 9.75 sec Electronic Gate Timer Hand Timers Avg: 9.7425 9.0241sec accurate but not precise 9.51 sec 9.20 sec 8.52 sec 8.85 sec Electronic Gate Timer Hand Timers Avg: 9.0200 9.0241sec precise and accurate 9.02 sec 9.01 sec 9.03 sec 9.02 sec

AHSME 1990

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USA AIME 1990 1 The increasing sequence 2, 3, 5, 6, 7, 10, 11, . . . consists of all positive integers that are neither the square nor the cube of a positive integer. Find the 500th term of this sequence. 2 Find the value of (52 + 6 ? 43)3/2 ? (52? 6 ? 43)3/2. 3 Let P1 be a regular r-gon and P2 be a regular s-gon (r ? s ? 3) such that each interior angle of P1 is 5958 as large as each interior angle of P2. What?s the largest possible value of s? 4 Find the positive solution to 1 x2 ? 10x? 29 + 1 x2 ? 10x? 45 ? 2 x2 ? 10x? 69 = 0 5 Let n be the smallest positive integer that is a multiple of 75 and has exactly 75 positive integral divisors, including 1 and itself. Find n/75. 6 A biologist wants to calculate the number of fish in a lake. On May 1 she catches a random

Pi Digits

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3.?14159 26535 89793 23846 26433 83279 50288 41971 69399 37510 ?58209 74944 59230 78164 06286 20899 86280 34825 34211 70679 ?82148 08651 32823 06647 09384 46095 50582 23172 53594 08128 ?48111 74502 84102 70193 85211 05559 64462 29489 54930 38196 ?44288 10975 66593 34461 28475 64823 37867 83165 27120 19091 ?45648 56692 34603 48610 45432 66482 13393 60726 02491 41273 ?72458 70066 06315 58817 48815 20920 96282 92540 91715 36436 ?78925 90360 01133 05305 48820 46652 13841 46951 94151 16094 ?33057 27036 57595 91953 09218 61173 81932 61179 31051 18548 ?07446 23799 62749 56735 18857 52724 89122 79381 83011 94912 ?98336 73362 44065 66430 86021 39494 63952 24737 19070 21798 ?60943 70277 05392 17176 29317 67523 84674 81846 76694 05132 ?00056 81271 45263 56082 77857 71342 75778 96091 73637 17872

Draw It

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By: Wade Moore 9/4/2013 Draw It! Steps on ?How to Draw it? Part 1 Start in the upper left corner of the drawing area, and then draw a squiggly line straight down (only like 8 small squiggles, a fairly short line). Next you?ll need to draw two separate curved lines horizontally. Each line will start at the ends of the squiggly line previously made. These lines together should create almost an hourglass shape. The bottom of this horizontal ?hourglass? should be the vertical squiggly line and the top (right side) should be left open for now.

mnemonic devices for geometry!

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pi
Value Of Pi (π) Count the number of letters in each word: Pi (π) to 7 decimal places: (Word lengths are digits) May I have a large container of coffee? 3.1415926 Pi (π) to 10 decimal places: (Word lengths are digits) May I have a large container of coffee ready for today? 3.1415926535 Pi (π) to 12 decimal places: (Word lengths are digits) See, I have a rhyme assisting my feeble brain, its tasks oft-times resisting. 3.141592653589 Pi (π) to 30 decimal places: (Word lengths are digits) Now I, even I, would celebrate In rhymes unapt, the great Immortal Syracusan, rivaled nevermore, Who in his wondrous lore, Passed on before, Left men his guidance How to circles mensurate. and another one also to 30 decimal places (written by Michael Shapiro)
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