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Calculus Forum

Join experts in discussion of calculus topics. This may include topics on Elementary functions, Calculating limits, derivatives and integrals. Optimization problems and Homework help is available.

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Graduate Hints only please: compact iff bicompact

Aug 2, 2004 · Replies 10 · Aug 5, 2004

Replies: 10

Views: 4K

Graduate Integral Calculation: Analytical Calc of k_0 W L J_0

Aug 3, 2004 · Replies 3 · Aug 5, 2004

Replies: 3

Views: 3K

Undergrad Double integral with absolute value of x-y

Aug 4, 2004 · Replies 2 · Aug 4, 2004

Replies: 2

Views: 10K

Graduate Unraveling the Mystery: Solving ln(ln(ln(ln x+4))) = e with Expert Help

Jul 29, 2004 · Replies 11 · Aug 4, 2004

Replies: 11

Views: 3K

Graduate Proof That $\lim_{n \rightarrow \infty} \frac{n}{(n!)^\frac{1}{n}} = e$

Aug 2, 2004 · Replies 4 · Aug 3, 2004

Replies: 4

Views: 2K

Graduate For all the smart Mathematicians

Aug 1, 2004 · Replies 16 · Aug 2, 2004

Replies: 16

Views: 6K

Graduate Maximize Area of Triangle APB with Line y=mx+b Intersecting Parabola y=x^2

Jul 30, 2004 · Replies 14 · Jul 31, 2004

Replies: 14

Views: 4K

Is Calculus Still Relevant in Today's World?

Jan 1, 2004 · Replies 2 · Jul 30, 2004

Replies: 2

Views: 2K

High School Randomness of Computer & Calculator

Jul 28, 2004 · Replies 7 · Jul 30, 2004

Replies: 7

Views: 3K

High School Understanding 2nd Derivative Max/Min Points

Jul 29, 2004 · Replies 5 · Jul 30, 2004

Replies: 5

Views: 6K

Graduate How Does the Mapping w = 1/z Transform Regions in the Complex Plane?

Apr 23, 2004 · Replies 2 · Jul 30, 2004

Replies: 2

Views: 3K

High School How to Use Different Logarithm Bases on a TI-86?

Jul 30, 2004 · Replies 2 · Jul 30, 2004

Replies: 2

Views: 4K

Undergrad Optimize Positive Number Sum of Number & Reciprocal

Jul 28, 2004 · Replies 5 · Jul 29, 2004

Replies: 5

Views: 3K

Undergrad How Do I Prove Continuity for f(x)=x^2 at x=3 and for f(x,y)=1/(xy)?

Jun 1, 2004 · Replies 18 · Jul 29, 2004

Replies: 18

Views: 17K

Undergrad Optimizing the Sum of a Number and its Reciprocal in Calculus

Jul 29, 2004 · Replies 6 · Jul 29, 2004

Replies: 6

Views: 2K

Graduate Is Stokes Theorem Easier Than It Seems?

Jul 23, 2004 · Replies 5 · Jul 29, 2004

Replies: 5

Views: 8K

Undergrad Interpretation of integral as area?

Jul 28, 2004 · Replies 4 · Jul 28, 2004

Replies: 4

Views: 3K

Graduate N-dimensional Tayor's Theorem and Dynamics

Jul 28, 2004 · Replies 12 · Jul 28, 2004

Replies: 12

Views: 3K

Graduate Multivariable Calculus: Conceptual Question on Total Change in a Function

Dec 12, 2003 · Replies 4 · Jul 28, 2004

Replies: 4

Views: 3K

Undergrad Problem with a limit as infinity

Jul 27, 2004 · Replies 2 · Jul 28, 2004

Replies: 2

Views: 2K

Undergrad Optimizing Chocolate Packaging with Equilateral Triangular Prisms

Jul 22, 2004 · Replies 3 · Jul 27, 2004

Replies: 3

Views: 4K

Undergrad Quotient Rule - is this right or wrong?

Jul 27, 2004 · Replies 5 · Jul 27, 2004

Replies: 5

Views: 3K

Undergrad Solve Problem With L'Hospital's Rule

Jul 26, 2004 · Replies 3 · Jul 27, 2004

Replies: 3

Views: 5K

Graduate Help Needed: Solving Stroke's Theorem Problem w/ z Surface

Jul 26, 2004 · Replies 2 · Jul 26, 2004

Replies: 2

Views: 2K

Graduate Evaluating a Vector Field Through a Surface with the Divergence Theorem

Jul 25, 2004 · Replies 4 · Jul 26, 2004

Replies: 4

Views: 2K

High School Best Introduction to Calculus Book

May 28, 2004 · Replies 39 · Jul 25, 2004

2

Replies: 39

Views: 28K

Undergrad Proving Limit Existence: Squeeze Theorem

Jun 16, 2004 · Replies 16 · Jul 25, 2004

Replies: 16

Views: 15K

Graduate Divergence and Stoke's Theorems in 2D

Jul 17, 2004 · Replies 7 · Jul 24, 2004

Replies: 7

Views: 21K

Graduate What's the area of this volume?

Jul 24, 2004 · Replies 1 · Jul 24, 2004

Replies: 1

Views: 2K

Undergrad Rationale behind seperation and integration

Jun 2, 2004 · Replies 19 · Jul 24, 2004

Replies: 19

Views: 4K

Graduate Help me prove that functions u and v must be constant in D

Jun 13, 2004 · Replies 2 · Jul 24, 2004

Replies: 2

Views: 4K

Graduate How can I find the value of this difficult sum using lagrange interpolation?

Jun 30, 2004 · Replies 5 · Jul 24, 2004

Replies: 5

Views: 3K

Graduate How Do You Solve These Multivariable Calculus Problems Related to a Helix?

Oct 22, 2003 · Replies 3 · Jul 24, 2004

Replies: 3

Views: 5K

Undergrad Introduction to Complex Analysis

Jun 12, 2004 · Replies 12 · Jul 23, 2004

Replies: 12

Views: 6K

Undergrad Calculating the Limit of (1+1/n)^n as n Approaches Infinity

Feb 24, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Views: 3K

Undergrad Can Calculus Prove I Will Reach the End of a Room If I Start Walking?

Dec 13, 2003 · Replies 4 · Jul 23, 2004

Replies: 4

Views: 3K

Undergrad How to Find the Equation of a Plane at a 60 Degree Angle?

Dec 17, 2003 · Replies 2 · Jul 23, 2004

Replies: 2

Views: 3K

High School Can someone tell me the essence of derivative?

Jan 28, 2004 · Replies 10 · Jul 23, 2004

Replies: 10

Views: 4K

Graduate How can images dimention be larger than the domains?

May 21, 2004 · Replies 4 · Jul 23, 2004

Replies: 4

Views: 2K

Undergrad Vector Valued Function vs Vector Field

Jun 9, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Views: 3K

Undergrad What Are Good Online Resources for Learning Vector Calculus?

May 15, 2004 · Replies 20 · Jul 23, 2004

Replies: 20

Views: 6K

Undergrad How Do You Determine the Least Upper Bounds of N and P in Repeating Decimals?

Apr 28, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Views: 3K

Undergrad Understanding Divergence and Curl on a 3D Surface

Jul 22, 2004 · Replies 4 · Jul 23, 2004

Replies: 4

Views: 6K

Graduate Why Apply Analytic Continuation in Complex Analysis?

Mar 16, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Views: 14K

Undergrad Why are differentials used in math?

Apr 5, 2004 · Replies 10 · Jul 23, 2004

Replies: 10

Views: 4K

Undergrad Calculating Volume by Cross-Sections: A Riemann Sums Approach

Apr 17, 2004 · Replies 5 · Jul 23, 2004

Replies: 5

Views: 7K

Graduate Can you prove the Complex Polynomial Theorem?

May 5, 2004 · Replies 5 · Jul 23, 2004

Replies: 5

Views: 6K

Undergrad What is the Antiderivative of Sqrt(1-x^2)?

Jul 23, 2004 · Replies 7 · Jul 23, 2004

Replies: 7

Views: 3K

Undergrad How Do You Derive y=2^x Using the Definition of Derivative?

May 19, 2004 · Replies 18 · Jul 23, 2004

Replies: 18

Views: 17K

Graduate How to Maximize ln x + ln y + 3 ln z on a Sphere Using Lagrange Multipliers?

Jul 11, 2004 · Replies 10 · Jul 23, 2004

Replies: 10

Views: 4K

Undergrad Please recommend an honors calc book

Jul 22, 2004 · Replies 2 · Jul 23, 2004

Replies: 2

Views: 3K

Undergrad Understanding Line Integrals in 3D Space

Jul 22, 2004 · Replies 3 · Jul 23, 2004

Replies: 3

Views: 3K

Undergrad Advice on Advanced Calculus Textbooks for Independent Study

Sep 17, 2003 · Replies 8 · Jul 23, 2004

Replies: 8

Views: 5K

Graduate How can we effectively introduce logarithms?

Sep 29, 2003 · Replies 11 · Jul 23, 2004

Replies: 11

Views: 11K

Graduate Can Limits Determine Specific Values in Complex Mathematical Functions?

Oct 6, 2003 · Replies 2 · Jul 23, 2004

Replies: 2

Views: 9K

Undergrad Beating Calc 2: Can I Survive the Next Semester?

May 19, 2004 · Replies 18 · Jul 23, 2004

Replies: 18

Views: 7K

Graduate What is the Laplace Transform of a Gaussian Distribution?

Jun 25, 2004 · Replies 6 · Jul 23, 2004

Replies: 6

Views: 21K

Undergrad Why does the gradient point in the direction of greatest change?

Jun 8, 2004 · Replies 16 · Jul 22, 2004

Replies: 16

Views: 4K

Graduate Rudin vs Lang: Which is the Thorough More Rigorous Analysis Book?

Jun 15, 2004 · Replies 2 · Jul 22, 2004

Replies: 2

Views: 3K

Undergrad Instantaneous Rate Word Problems

Jul 21, 2004 · Replies 2 · Jul 22, 2004

Replies: 2

Views: 6K

Undergrad What is the Limit of the abc-Formula as a approaches 0?

Jul 20, 2004 · Replies 5 · Jul 22, 2004

Replies: 5

Views: 9K

Undergrad Solving Definite Integral Problem: Average Velocity of Ball Dropped from Rest

Jul 8, 2004 · Replies 3 · Jul 22, 2004

Replies: 3

Views: 3K

Undergrad Max Value of f(x) for Positive x

Jul 21, 2004 · Replies 2 · Jul 22, 2004

Replies: 2

Views: 3K

Undergrad Solving for Theta: Help With a Ballistics Equation

Jul 19, 2004 · Replies 3 · Jul 19, 2004

Replies: 3

Views: 3K

Undergrad Calc Help: Moving Particle from Origin & Integral of 5^ radical x

Jul 14, 2004 · Replies 5 · Jul 18, 2004

Replies: 5

Views: 2K

Undergrad Optimizing Integration: Sketching vs. Graphing for Type I, II, and III Problems

Jun 27, 2004 · Replies 4 · Jul 18, 2004

Replies: 4

Views: 3K

Undergrad What is the 50th derivative of F(x)=Cos(2x)?

Jul 7, 2004 · Replies 4 · Jul 17, 2004

Replies: 4

Views: 5K

Undergrad L'Hopital's rule graph problem

Jul 15, 2004 · Replies 19 · Jul 16, 2004

Replies: 19

Views: 4K

Undergrad Newton-Raphson method for y=1/f(x)

Jul 15, 2004 · Replies 2 · Jul 16, 2004

Replies: 2

Views: 6K

Undergrad How Can the Woman Reach the Opposite Side of the Lake Most Quickly?

Jul 14, 2004 · Replies 2 · Jul 15, 2004

Replies: 2

Views: 5K

Graduate What is the equation of a plane parallel to a line and a point not on that line?

Jul 8, 2004 · Replies 8 · Jul 13, 2004

Replies: 8

Views: 5K

Undergrad Calculus IV: Calculating Mass, 2nd Moment & Radius of Gyration for Doughnut Yoyo

Jul 8, 2004 · Replies 2 · Jul 13, 2004

Replies: 2

Views: 4K

Undergrad What is the derivative of 4x(16-x^2)^0.5?

Jul 12, 2004 · Replies 6 · Jul 12, 2004

Replies: 6

Views: 3K

High School A Simple yet complicated question.

Jul 11, 2004 · Replies 7 · Jul 11, 2004

Replies: 7

Views: 2K

Undergrad Integrate exp(-x^2), dx

Jun 14, 2004 · Replies 8 · Jul 9, 2004

Replies: 8

Views: 117K

Undergrad How to Integrate 1/(1+2x+x^2) dx Without Getting Stumped

Jul 8, 2004 · Replies 4 · Jul 9, 2004

Replies: 4

Views: 5K

Undergrad Solving Various Calc Test Questions - Get Answers Here

Jul 6, 2004 · Replies 10 · Jul 7, 2004

Replies: 10

Views: 3K

Undergrad Finding a limit through algebra

Jun 24, 2004 · Replies 14 · Jul 7, 2004

Replies: 14

Views: 12K

High School Can you give me the formula for calculating its

May 14, 2004 · Replies 4 · Jul 7, 2004

Replies: 4

Views: 3K

Undergrad Having difficulty setting up a Diff Eq for this situation

Jul 6, 2004 · Replies 6 · Jul 7, 2004

Replies: 6

Views: 3K

Graduate Simultaneous Differential Equations

Jun 29, 2004 · Replies 3 · Jul 3, 2004

Replies: 3

Views: 12K

Undergrad Fitting a Sine Curve to Two Points

Jun 29, 2004 · Replies 5 · Jul 3, 2004

Replies: 5

Views: 17K

Undergrad Finding Points of Intersection and Proving Parallelism with Vectors

Jun 29, 2004 · Replies 9 · Jul 1, 2004

Replies: 9

Views: 15K

Undergrad How Do You Integrate \(\sin(\sqrt{x})\) with Trig Substitution?

Jun 26, 2004 · Replies 10 · Jun 30, 2004

Replies: 10

Views: 2K

Undergrad Finding Fourier Series for f(x)=2x+e^x-e^-x (-1< x >1)

Jun 28, 2004 · Replies 4 · Jun 29, 2004

Replies: 4

Views: 3K

Graduate Help me derive Lagrange's Trigonometric Identity

Jun 29, 2004 · Replies 1 · Jun 29, 2004

Replies: 1

Views: 10K

Undergrad How Do You Solve These Related Rates and Optimization Problems?

Jun 20, 2004 · Replies 2 · Jun 27, 2004

Replies: 2

Views: 4K

Graduate Proof of Limit: |Rez - Rez0|<E Whenever 0<|z-z0|<D

Jun 26, 2004 · Replies 2 · Jun 27, 2004

Replies: 2

Views: 4K

Poll

Graduate (Spivak) - a function with strange behaviour.

Apr 12, 2004 · Replies 11 · Jun 25, 2004

Replies: 11

Views: 3K

Undergrad Quotient rule for derivatives (algebraic division help?)

Jun 24, 2004 · Replies 3 · Jun 25, 2004

Replies: 3

Views: 13K

High School Questions About Intervals in Calculus for 14 Year Olds

Jun 23, 2004 · Replies 5 · Jun 24, 2004

Replies: 5

Views: 2K

Undergrad How to Find the Volume Bounded by a Cylinder and Planes in the First Octant?

Jun 21, 2004 · Replies 9 · Jun 24, 2004

Replies: 9

Views: 17K

Undergrad What is the exponential function with a concave up graph and two given points?

Jun 22, 2004 · Replies 4 · Jun 23, 2004

Replies: 4

Views: 8K

Undergrad Solving Tuff Limit Problem: Factoring Out Rational Function

Jun 22, 2004 · Replies 4 · Jun 23, 2004

Replies: 4

Views: 2K

High School What is the significance of the number e in calculus?

Jun 22, 2004 · Replies 9 · Jun 23, 2004

Replies: 9

Views: 2K

Graduate Solving Parametric Equation: Find dy^2/dx^2 in Terms of t

Jun 20, 2004 · Replies 8 · Jun 22, 2004

Replies: 8

Views: 3K

High School Graphing y = x + sin[x] - Get Help Now!

Jun 21, 2004 · Replies 4 · Jun 21, 2004

Replies: 4

Views: 3K

Graduate Prove: A mapping f:S->T is bijective if and only if it has an inverse?

Jun 18, 2004 · Replies 4 · Jun 21, 2004

Replies: 4

Views: 2K

Undergrad How can I solve this linear equation with an integrating factor?

Jun 20, 2004 · Replies 4 · Jun 20, 2004

Replies: 4

Views: 2K

Undergrad Proving y=ln|x| and its Limits: A Comprehensive Guide

Jun 19, 2004 · Replies 2 · Jun 19, 2004

Replies: 2

Views: 2K

Calculus

Welcome to the Calculus forum!

Calculus is a branch of mathematics that focuses on the study of continuous change and motion.

It comprises two primary branches: differential calculus, which examines rates of change and slopes of curves, and integral calculus, which deals with accumulation and the calculation of areas under curves. Developed independently by Isaac Newton and Gottfried Wilhelm Leibniz in the 17th century, calculus has become a fundamental tool in various scientific and engineering disciplines.

It provides a powerful framework for analyzing and modeling dynamic processes, such as motion, growth, and decay, and forms the basis for understanding concepts like derivatives and integrals, essential for advanced mathematical and scientific studies.

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