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Warning!

Warning!

Warning! Excel 97 (and almost all other statistical software and textbooks) define Residuals the same way as in this course: Residual = Observed value – Fitted Value But Excel 2000 uses Residual = Fitted Value – Observed Value Result: Residual Plots from Excel 2000 are upside down!.

By yadid
(145 views)

Lesson 81

Lesson 81

Lesson 81. Using natural logarithms. Natural logarithms. When the base is e , the logarithm is called a natural logarithm e x = a means ln a= x. Inverse properties of logarithms. e ln x = x and ln e x = x where x>0.

By libba
(115 views)

第 20 章 f 区元素

第 20 章 f 区元素

第 20 章 f 区元素. 20.1 概述. 20.1.1 基本概念. ( n -2)f 0~14 ( n -1)d 0~1 n s 2. 20.1.2 镧系收缩 :. 镧系元素的原子 ( 离子 ) 半径 , 随着原子序数增大而缩小。. 1. 特点. 原子半径缩小缓慢,相邻元素递减 1pm ,总的缩小 约 14pm 。. 2. 结果. ( 1 ) Y 3+ 半径 88pm 落在 Er 3+ 88.1pm 附近, Y 进入稀土元素。 Sc 半径接近 Lu 3+ ,常与 Y 3+ 共生, Sc 也成为稀土元素。.

By giulia
(124 views)

Splash Screen

Splash Screen

Splash Screen. Five-Minute Check (over Lesson 3-2) Then/Now Key Concept: Properties of Logarithms Example 1: Use the Properties of Logarithms Example 2: Simplify Logarithms Example 3: Expand Logarithmic Expressions Example 4: Condense Logarithmic Expressions

By tybalt
(108 views)

南靖四中:柯江海

南靖四中:柯江海

导数及其运用. 南靖四中:柯江海. (3)(ln x )  = , (log a x )  = log a e ;. 1. 1. x. x. 1. 几种常见函数的导数. (1) c  = 0 ( c 为常数 ) , ( x n )  = nx n - 1 ( n  Q );. (2)(sin x )  = cos x , (cos x )  = - sin x ;. (4)( e x )  = e x , ( a x )  = a x ln a. 2. 导数的意义.

By wolfe
(115 views)

物理化学第二章

物理化学第二章

物理化学第二章. 热力学第二定律. 热力学第二定律. 道可道 非常道 名可名 非常名 道生一 一生二 二生三 三生万物 老子: “ 道德经 ”. 热力学第一定律回顾. 热力学第一定律: 能量守恒原理 推而广之: 物质不灭定律 第一定律揭示出: 世界的第一性是物质的. 世界处于永恒的运动变化之中: 地壳: 沧海桑田 人生: 生老病死 植物: 花开花落 气象: 风雨雷电 万事万物变化的规律是什么?. 化学过程: H 2 +0.5O 2 =H 2 O C+O 2 =CO 2

By davida
(136 views)

Splash Screen

Splash Screen

Splash Screen. You evaluated logarithmic expressions with different bases. (Lesson 3–2). Apply properties of logarithms. Apply the Change of Base Formula. Then/Now. Key Concept 1. Use the Properties of Logarithms. A. Express log 96 in terms of log 2 and log 3.

By kaseem-sullivan
(88 views)

Warm-Up: February 13, 2013

Warm-Up: February 13, 2013

Warm-Up: February 13, 2013. Find the multiplier for 8% decay. Is f(x) = 300(0.5) -2x exponential growth or decay? Solve for x: log x 4 = (1/3) Write as a single logarithm: log 3 + log 2x – log 6. Homework Questions?. Solving Equations. Section 6.7. Essential Question.

By emma-levine
(141 views)

WARM-UPS:

WARM-UPS:

WARM-UPS:. GIVEN: 2 + 3 = 5 Does ln (2 + 3) = ln5 ?. 2) GIVEN: ln (2 + 3) = ln5 Does ln2 + ln3 = ln5 ?. Go over 1.1-1.4 QUIZ …. Use the function f(x) = 3 – ln (x + 2)…. 1) Which of the following is the domain of f?. (A) x ≠ -2 (B) (C) (D) (E).

By kane-hebert
(78 views)

6.7 – Base “ e” and Natural Logarithms

6.7 – Base “ e” and Natural Logarithms

6.7 – Base “ e” and Natural Logarithms. Objective – TSW solve equations that contain “e” and natural logarithms. What is this “e” business about ?. “e” is a number like pi. - It is a non repeating, never ending decimal. - An irrational number. - e ≈ 2.71828…

By india-walton
(3 views)

LOGS and LN and e

LOGS and LN and e

LOGS and LN and e. 11 2x = 102 x-1 Log 11 2x = log 102 x-1 2x Log 11= (x-1) log 102 use distrib. Prop. 2x log 11 = x log 102 - log 102 group x -x log 102 - xlog 102 2x log 11 – x log 102 = -log 102 factor out x x(2 log 11 -log 102) = -log 102 divide.

By bronstein
(1 views)


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