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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 Stumped on \sum_{n=0}^{\infty}{\frac{1}{a_{a_{n}}}}

Apr 29, 2004 · Replies 4 · Apr 30, 2004

Replies: 4

Views: 2K

Undergrad What is the maximum height reached by the arrow?

Apr 29, 2004 · Replies 3 · Apr 30, 2004

Replies: 3

Views: 5K

Undergrad Solve Vector Question: Find Shortest Distance from Point C to Line 1

Apr 29, 2004 · Replies 2 · Apr 30, 2004

Replies: 2

Views: 2K

Undergrad Write the vector V=i+2j+3k at the point (x,y,z)=(1,1,0)

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

Replies: 2

Views: 2K

Undergrad Can someone double check this, or tell me happened?

Apr 27, 2004 · Replies 9 · Apr 30, 2004

Replies: 9

Views: 2K

Undergrad Solving Double Integrals with Change of Variables

Apr 29, 2004 · Replies 3 · Apr 29, 2004

Replies: 3

Views: 3K

Undergrad What Are the Optimal Dimensions for a Maximized Rectangular Enclosure?

Apr 21, 2004 · Replies 12 · Apr 29, 2004

Replies: 12

Views: 4K

Undergrad Profit Equation (need to maximze profit)

Apr 28, 2004 · Replies 2 · Apr 28, 2004

Replies: 2

Views: 9K

Undergrad Is there a limit to the decimal expression .999?

Apr 27, 2004 · Replies 35 · Apr 28, 2004

2

Replies: 35

Views: 6K

Undergrad Profit Equation (need to maximize profit)

Apr 28, 2004 · Replies 11 · Apr 28, 2004

Replies: 11

Views: 84K

Undergrad Calculating Horizontal Run for 800ft Hill Grade of 8%

Apr 28, 2004 · Replies 2 · Apr 28, 2004

Replies: 2

Views: 2K

Can Deleted Data Be Retrieved?

Apr 27, 2004 · Replies 2 · Apr 27, 2004

Replies: 2

Views: 2K

Undergrad Does the Sum of this Infinite Series Converge or Diverge?

Apr 26, 2004 · Replies 9 · Apr 27, 2004

Replies: 9

Views: 3K

Undergrad Help with Couple of Calculus Problems

Apr 26, 2004 · Replies 5 · Apr 27, 2004

Replies: 5

Views: 5K

Undergrad How do I rewrite ln9-3ln(squareroot 3) + ln81 in the form kln3?

Apr 26, 2004 · Replies 14 · Apr 27, 2004

Replies: 14

Views: 5K

High School How Do You Prove This Trigonometric Identity?

Apr 21, 2004 · Replies 12 · Apr 27, 2004

Replies: 12

Views: 3K

Undergrad Differentiating x^y + y^x + (lnx)^x etc

Apr 26, 2004 · Replies 6 · Apr 27, 2004

Replies: 6

Views: 10K

Graduate Solving Fourier Transform Problem: f(x) = e^(-pi*x^2)

Apr 26, 2004 · Replies 5 · Apr 27, 2004

Replies: 5

Views: 3K

Undergrad What is the derivative of the equation for volume?

Apr 26, 2004 · Replies 15 · Apr 27, 2004

Replies: 15

Views: 3K

Undergrad Calculate the Fourier Sine Series of f(x)=sin(x/2)

Apr 25, 2004 · Replies 9 · Apr 27, 2004

Replies: 9

Views: 3K

Undergrad Calculating Distance Between Two Points: Simplifying Radical Expressions

Apr 26, 2004 · Replies 2 · Apr 26, 2004

Replies: 2

Views: 6K

Undergrad Is Simpson's Rule Effective for Solving the Intersecting Cylinders Problem?

Apr 22, 2004 · Replies 2 · Apr 26, 2004

Replies: 2

Views: 2K

High School What is a Null Set and Why Does It Have Measure Zero?

Apr 25, 2004 · Replies 10 · Apr 26, 2004

Replies: 10

Views: 4K

Graduate Area of a Hyperboloid in a Sphere: Calculating the Integral

Apr 22, 2004 · Replies 6 · Apr 26, 2004

Replies: 6

Views: 6K

Undergrad Integrating sinx/x between (0,infinty)?

Apr 25, 2004 · Replies 15 · Apr 26, 2004

Replies: 15

Views: 21K

Undergrad What is the relationship between average cost and marginal cost in production?

Apr 25, 2004 · Replies 5 · Apr 26, 2004

Replies: 5

Views: 5K

Undergrad What is the derivative of a complex function?

Apr 23, 2004 · Replies 5 · Apr 25, 2004

Replies: 5

Views: 3K

Undergrad Find the velocity vector for the particle at any time

Apr 25, 2004 · Replies 3 · Apr 25, 2004

Replies: 3

Views: 4K

Undergrad Does the Integral of sin(x)/x from 0 to Infinity Converge?

Apr 25, 2004 · Replies 2 · Apr 25, 2004

Replies: 2

Views: 25K

Undergrad How Do You Prove the Existence of an Improper Integral?

Apr 25, 2004 · Replies 2 · Apr 25, 2004

Replies: 2

Views: 3K

Undergrad How do you intergrate cos^3 [x] .dx

Apr 21, 2004 · Replies 4 · Apr 24, 2004

Replies: 4

Views: 5K

Graduate Prove that f = 0 if [tex]\int |f|= 0[\tex]

Apr 24, 2004 · Replies 18 · Apr 24, 2004

Replies: 18

Views: 3K

High School Revising Maths: Understanding Differentiation of e^x

Apr 21, 2004 · Replies 25 · Apr 23, 2004

Replies: 25

Views: 4K

High School How Do You Solve (16-x²)³/2 = 40 for x?

Apr 22, 2004 · Replies 2 · Apr 23, 2004

Replies: 2

Views: 2K

Undergrad Is f(x) = 1/√x Continuous as x Approaches 4?

Apr 21, 2004 · Replies 8 · Apr 23, 2004

Replies: 8

Views: 4K

Graduate Calculating Surface Area of Intersecting Cylinders with Non-Perpendicular Axes

Apr 19, 2004 · Replies 9 · Apr 22, 2004

Replies: 9

Views: 8K

Undergrad "Did I Solve the Limit Value Question on Today's Exam Correctly?

Apr 20, 2004 · Replies 2 · Apr 22, 2004

Replies: 2

Views: 2K

Undergrad A couple pretty easy integration problems im stuck on

Apr 21, 2004 · Replies 3 · Apr 21, 2004

Replies: 3

Views: 3K

High School AP Calc AB Sample Problem Help (Integration)

Apr 21, 2004 · Replies 3 · Apr 21, 2004

Replies: 3

Views: 5K

Undergrad Optimizing Sum of Squares with Two Positive Numbers

Apr 21, 2004 · Replies 2 · Apr 21, 2004

Replies: 2

Views: 2K

Undergrad 2 vector problems(am i doing them right)

Apr 20, 2004 · Replies 3 · Apr 21, 2004

Replies: 3

Views: 3K

Undergrad Related rate problems and the chain rule

Apr 21, 2004 · Replies 2 · Apr 21, 2004

Replies: 2

Views: 4K

Undergrad What is the equation of a cylinder with an angled axis and variable intercepts?

Apr 19, 2004 · Replies 4 · Apr 21, 2004

Replies: 4

Views: 8K

Graduate Analyzing Motion: Dog Chasing Rabbit

Apr 20, 2004 · Replies 8 · Apr 20, 2004

Replies: 8

Views: 2K

Undergrad Where Can I Find Useful Resources for Vector Calculus?

Apr 8, 2004 · Replies 10 · Apr 20, 2004

Replies: 10

Views: 3K

Undergrad Write # as a ratio of two integers

Apr 18, 2004 · Replies 4 · Apr 20, 2004

Replies: 4

Views: 15K

Graduate Proving Existence of $\delta$ for Continuous Function $f$ s.t. $f(c)<5$

Apr 19, 2004 · Replies 4 · Apr 20, 2004

Replies: 4

Views: 2K

Graduate Anyone have time to check my Jacobian for this transformation?

Apr 19, 2004 · Replies 6 · Apr 20, 2004

Replies: 6

Views: 4K

Graduate Confused About Fibonacci Sequence Problem?

Apr 17, 2004 · Replies 6 · Apr 18, 2004

Replies: 6

Views: 4K

Undergrad What's the purpose of Taylor Polynomials?

Apr 18, 2004 · Replies 7 · Apr 18, 2004

Replies: 7

Views: 6K

Undergrad Confused about taylor approximation

Apr 18, 2004 · Replies 2 · Apr 18, 2004

Replies: 2

Views: 2K

Undergrad Finding the Rate of Change of Area with Decreasing Length and Increasing Width

Apr 18, 2004 · Replies 2 · Apr 18, 2004

Replies: 2

Views: 2K

Undergrad Wacky change of variables for Multi integration

Apr 18, 2004 · Replies 4 · Apr 18, 2004

Replies: 4

Views: 2K

Graduate Understanding Vector Calculus: A Brief Summary

Apr 17, 2004 · Replies 2 · Apr 18, 2004

Replies: 2

Views: 2K

Graduate Reversing: Properties of a continous Function.

Apr 17, 2004 · Replies 7 · Apr 17, 2004

Replies: 7

Views: 2K

Undergrad Maximising Profit: Solving Linear Demand Functions

Apr 10, 2004 · Replies 2 · Apr 17, 2004

Replies: 2

Views: 4K

Undergrad What Calculator Shall I Buy? Give me advice.

Apr 15, 2004 · Replies 7 · Apr 17, 2004

Replies: 7

Views: 3K

Graduate Distance from a point on a sphere to a point on a plane

Apr 17, 2004 · Replies 6 · Apr 17, 2004

Replies: 6

Views: 19K

Graduate What is the relationship between curl and surface integrals in vector calculus?

Apr 10, 2004 · Replies 2 · Apr 17, 2004

Replies: 2

Views: 4K

Undergrad Easy derivitive giving me some trouble

Apr 17, 2004 · Replies 3 · Apr 17, 2004

Replies: 3

Views: 3K

Undergrad What is the meaning of Rootof in my CAS?

Apr 16, 2004 · Replies 2 · Apr 17, 2004

Replies: 2

Views: 3K

Undergrad Troubleshooting the Integral of dx/(x-sqrt(x+2)) in Calculus 2

Apr 14, 2004 · Replies 2 · Apr 15, 2004

Replies: 2

Views: 2K

Undergrad How Can You Prove the Limit of (n-1/n) as n Approaches Infinity Equals 1?

Apr 8, 2004 · Replies 2 · Apr 15, 2004

Replies: 2

Views: 2K

Graduate How do I solve this line integral problem with given constraints?

Apr 14, 2004 · Replies 2 · Apr 15, 2004

Replies: 2

Views: 2K

Undergrad Solving Exponential Function: (0,4) & (5,1/2)

Apr 6, 2004 · Replies 2 · Apr 13, 2004

Replies: 2

Views: 2K

Graduate Almost All" Numbers in [0,1] are Satanic

Apr 6, 2004 · Replies 2 · Apr 13, 2004

Replies: 2

Views: 6K

Graduate Estimating \int_{0}^{1/2}\frac{1}{\sqrt{1+x^3}}dx using Power Series

Apr 13, 2004 · Replies 5 · Apr 13, 2004

Replies: 5

Views: 3K

Poll

Undergrad Formal Definition of Limits, as x -> infinity

Apr 11, 2004 · Replies 13 · Apr 13, 2004

Replies: 13

Views: 9K

Undergrad Understanding the Two Solutions for Derivatives of (2x+y)/(x-3y)=4

Apr 11, 2004 · Replies 6 · Apr 12, 2004

Replies: 6

Views: 2K

Undergrad What is the connection between the roots of a function and its derivative?

Apr 10, 2004 · Replies 7 · Apr 12, 2004

Replies: 7

Views: 3K

Undergrad Having some difficulty with a Trip. Integral in Cylindrical Coordinates

Apr 11, 2004 · Replies 3 · Apr 11, 2004

Replies: 3

Views: 3K

Graduate Learning Nonstandard Analysis: Understanding Equivalence Relations

Apr 11, 2004 · Replies 2 · Apr 11, 2004

Replies: 2

Views: 2K

High School How Do I Find the Intersection of \sin(x) and \cos(x)?

Apr 11, 2004 · Replies 19 · Apr 11, 2004

Replies: 19

Views: 3K

Undergrad Another Triple Integral Question

Apr 10, 2004 · Replies 7 · Apr 11, 2004

Replies: 7

Views: 5K

Graduate Solving a Question on L'Hopital's Rule

Apr 9, 2004 · Replies 7 · Apr 10, 2004

Replies: 7

Views: 5K

Undergrad How Do You Find the Volume of Water in a Leaking Cylindrical Bucket Over Time?

Apr 8, 2004 · Replies 6 · Apr 10, 2004

Replies: 6

Views: 2K

Undergrad How Are Limits for Inverse Trigonometric Functions Derived?

Apr 10, 2004 · Replies 1 · Apr 10, 2004

Replies: 1

Views: 6K

Undergrad Finding the Sum of n/[(n+1)(n+2)(n+3)]

Apr 7, 2004 · Replies 13 · Apr 9, 2004

Replies: 13

Views: 2K

Graduate Solving Position Vector Problem: Find Acceleration with |f|^2 = 260 + 64 cos3t

Apr 9, 2004 · Replies 3 · Apr 9, 2004

Replies: 3

Views: 3K

Graduate How Do I Verify Legendre Polynomials and Their Orthogonality?

Apr 8, 2004 · Replies 2 · Apr 9, 2004

Replies: 2

Views: 3K

Graduate Integrating Difficult Integrals: (1-x^2)(f ''(x)) & (a^2-x^2)(f ''(x))

Apr 7, 2004 · Replies 3 · Apr 8, 2004

Replies: 3

Views: 3K

Graduate Definite product of zero and infinity?

Apr 3, 2004 · Replies 35 · Apr 8, 2004

2

Replies: 35

Views: 11K

Undergrad How do I sketch the graph of f(x, y) = sin(y) using x, y, and z cross sections?

Mar 22, 2004 · Replies 10 · Apr 7, 2004

Replies: 10

Views: 3K

Undergrad I'm haveing optimization problems

Apr 6, 2004 · Replies 3 · Apr 7, 2004

Replies: 3

Views: 6K

Undergrad Possible Mistakes in Calculus Problems

Apr 6, 2004 · Replies 6 · Apr 7, 2004

Replies: 6

Views: 3K

Undergrad What are some interesting topics for a calculus paper?

Apr 7, 2004 · Replies 2 · Apr 7, 2004

Replies: 2

Views: 2K

Graduate How Do You Prove the Integral of Cosine Functions Using Exponential Forms?

Apr 5, 2004 · Replies 3 · Apr 7, 2004

Replies: 3

Views: 2K

Graduate How can I solve the integral of tan^3(x^2)sec^4(x^2) dx?

Apr 4, 2004 · Replies 23 · Apr 7, 2004

Replies: 23

Views: 4K

Undergrad What is the procedure for testing convergence of alternating series?

Apr 6, 2004 · Replies 6 · Apr 6, 2004

Replies: 6

Views: 3K

High School How Do You Calculate the Original Area of a Parallelogram?

Apr 6, 2004 · Replies 3 · Apr 6, 2004

Replies: 3

Views: 3K

High School Calculus PDFs: Learn & Understand with Resources

Mar 24, 2004 · Replies 2 · Apr 6, 2004

Replies: 2

Views: 7K

Undergrad Is My Biomechanics Integration Solution Correct?

Apr 4, 2004 · Replies 16 · Apr 6, 2004

Replies: 16

Views: 3K

Graduate Help Finding Surface area with Double Integrals. (work shown)

Apr 5, 2004 · Replies 11 · Apr 6, 2004

Replies: 11

Views: 12K

Undergrad How Do You Calculate dm in Moment of Inertia?

Apr 3, 2004 · Replies 2 · Apr 5, 2004

Replies: 2

Views: 21K

Undergrad How Do You Integrate cos(sqrt x)?

Apr 4, 2004 · Replies 3 · Apr 4, 2004

Replies: 3

Views: 3K

Graduate Trouble with a converging sequence.

Apr 2, 2004 · Replies 20 · Apr 4, 2004

Replies: 20

Views: 5K

Graduate Integral Help: Simplifying Integration with an Arbitrary Constant

Apr 2, 2004 · Replies 8 · Apr 4, 2004

Replies: 8

Views: 2K

Undergrad Bad question on a take home quiz

Apr 1, 2004 · Replies 16 · Apr 4, 2004

Replies: 16

Views: 12K

Undergrad Can y(x)=a*sin(kx)+b*cos(kx) presented simpler?

Apr 3, 2004 · Replies 2 · Apr 3, 2004

Replies: 2

Views: 10K

Undergrad Can Calculus be Applied in C/C++, PERL, and PYTHON for Real-Time Programming?

Mar 13, 2004 · Replies 8 · Apr 2, 2004

Replies: 8

Views: 11K

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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