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Complex analysis

bccalcclassact4cdifferentials

Subject: 
Calculus
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Numerical analysis
Complex analysis
pi
Approximation error
Significant Figures
Bra size
Area

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.

Weather Station Models

Subject: 
Environmental Science
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Mathematics
Arithmetic
Linguistics
Elementary arithmetic
Binary arithmetic
Complex analysis
pi
Decimal
Atmospheric pressure
Hexadecimal
Number
Year 10,000 problem
behavior
Human development
Interpersonal relationships
Love
Psychoanalysis
Human behavior
Attachment theory
Evolutionary biology
Personal life
Technology
Environment
Weather

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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AHSME 1990

Subject: 
Algebra
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Mathematics
Mathematical analysis
Number theory
Complex analysis
pi
Factorial

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

Handbook

Subject: 
Algebra
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Mathematical analysis
Mathematics
Analytic functions
Integral calculus
Complex analysis
trigonometry
Exponentials
Hyperbolic function
Bessel function
Euler's formula
Integration by parts
Differential equation

Contents Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 Bibliography; Physical Constants 1. Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2 Arithmetic and Geometric progressions; Convergence of series: the ratio test; Convergence of series: the comparison test; Binomial expansion; Taylor and Maclaurin Series; Power series with real variables; Integer series; Plane wave expansion
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