• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
AP Calculus Midterm
AP Calculus Midterm

... answer sheet. No credit will be given to anything written in the test book. Do not spend too much time on any one problem In this test: 1. The exact numerical value of the correct answer does not always appear among the choices given. When this happens, select among the choices the best number that ...
CONTINUITY
CONTINUITY

Inverse of An Exponential Function Since an exponential function, f
Inverse of An Exponential Function Since an exponential function, f

Derivatives of Constant and Linear Functions
Derivatives of Constant and Linear Functions

... If a is positive constant, then the function with domain all real numbers defined by fx  a x is called the base a exponential function. For example, the base 2 exponential function is fx  2 x . The most important and useful exponential function (at least for Calculus purposes) is the base e ex ...
Math 75B Practice Problems for Midterm II – Solutions Ch. 16, 17, 12
Math 75B Practice Problems for Midterm II – Solutions Ch. 16, 17, 12

Function Tables and Graphs
Function Tables and Graphs

notesfunctions1
notesfunctions1

Full text
Full text

... have 1 - xk instead of (1 - x)k, which is the striking difference between (5) and (6). As a result, ...
Homework
Homework

Chapter 1 Exam Review
Chapter 1 Exam Review

... This review is composed of questions from the chapter review at the end of chapter 1. This review is meant to highlight basic concepts from chapter 1. It does not cover all concepts presented by your instructor. Refer back to your notes, unit objectives, handouts, etc. to further prepare for your ex ...
Full text
Full text

... number of flips needed of a fair coin until two consecutive heads appear [3]. In this article, we pursue the reverse strategy of using probability to derive an and develop an exponential generating function for an in Section 3. In Section 4, we present a method for finding an exact, non-recursive, f ...
[2014 question paper]
[2014 question paper]

... (a) If the equation (1) admits a solution for all b ∈ Rm then n must be greater than or equal to m. (b) If the equation (1) admits a unique solution for some b ∈ Rm , then n must be greater than or equal to m. (c) If the equation (1) admits two distinct solutions for some b ∈ Rm , then m must be gre ...
Lab100 Quiz Week 10
Lab100 Quiz Week 10

... Use Scilab to complete this quiz. Q 10.1 lab100qz10.i: Algebra Find answers to the first five parts before completing the main sum. T = 58 - (4 times 7) W = sum of positive integers divisible by 5 and less than 26 X = 14 squared Y = 136 divided by 17 Z = cosine of 2 π . Now calculate (X + Y T − W )/ ...
The Intermediate Value Theorem
The Intermediate Value Theorem

Section 8.6 - Souderton Math
Section 8.6 - Souderton Math

Midterm Exam 2 Solutions
Midterm Exam 2 Solutions

Dirichlet`s Approximation Theorem Let α be a positive real number
Dirichlet`s Approximation Theorem Let α be a positive real number

10 2 x x 12 18 x y xy log 8
10 2 x x 12 18 x y xy log 8

... 7. Using EITHER the slope/intercept (y = mx + b) or the point slope y − y1 = m( x − x1 )) form of a line, write an equation for the lines described: SHOW ALL WORK a) with slope -2, containing the point (3, 4) b) containing the points (1, -3) and (-5, 2) c) with slope 0, containing the point (4, 2) d ...
RELATIVISTIC ADDITION AND GROUP THEORY 1. Introduction
RELATIVISTIC ADDITION AND GROUP THEORY 1. Introduction

Vocab Scramble
Vocab Scramble

... _____The number written in front of the term with the highest exponent ...
Section8.2
Section8.2

2.5 Continuity
2.5 Continuity

Increasing and Decreasing Function
Increasing and Decreasing Function

MTH 150 - Keith Nabb
MTH 150 - Keith Nabb

Python -- Week 3 Worksheet
Python -- Week 3 Worksheet

< 1 ... 121 122 123 124 125 126 127 128 129 ... 132 >

Non-standard calculus

In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic.Calculations with infinitesimals were widely used before Karl Weierstrass sought to replace them with the (ε, δ)-definition of limit starting in the 1870s. (See history of calculus.) For almost one hundred years thereafter, mathematicians like Richard Courant viewed infinitesimals as being naive and vague or meaningless.Contrary to such views, Abraham Robinson showed in 1960 that infinitesimals are precise, clear, and meaningful, building upon work by Edwin Hewitt and Jerzy Łoś. According to Jerome Keisler, ""Robinson solved a three hundred year old problem by giving a precise treatment of infinitesimals. Robinson's achievement will probably rank as one of the major mathematical advances of the twentieth century.""
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report