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.

Threads

Graduate What is the mistake in my reasoning for Cauchy sequences?

  • JG89
  • · Replies 4 ·
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Graduate Le^x-(1+x/1+x^2/2)l <= e/6 for all x E [0,1].

  • squenshl
  • · Replies 4 ·
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4

Graduate Complex analysis singularities and curve integration questions

  • Niles
  • · Replies 4 ·
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4

Graduate Concerning the definition of limit

  • wajed
  • · Replies 12 ·
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12

Graduate Riemann-Stieltjes, Lebesgue-Stieltjes integration

  • guiness
  • · Replies 4 ·
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4

Undergrad Solving $\lim_{x\rightarrow0+} x^2 \ln x$ with L'Hoptial's Rule

  • DeadWolfe
  • · Replies 7 ·
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7

Graduate Center of mass of a ring of variable density

  • redtree
  • · Replies 4 ·
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4

Undergrad Finding the limit of (2^x(x+1))/(1-3^x) as x→∞

  • hugo.hribeiro
  • · Replies 4 ·
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4

Undergrad Understanding Calculus in a different way

  • squarkman
  • · Replies 11 ·
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11

Graduate What is an Algebraic Singularity in Complex Analytic Functions?

  • jostpuur
  • · Replies 2 ·
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2

High School Why is the second derivative notation written as d^2y/dx^2?

  • ImAnEngineer
  • · Replies 7 ·
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7

Graduate Is f(x)=x^a a Strictly Convex Function for a>1 on (0,\infty)?

  • Edwinkumar
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Graduate Infimun and supremum of empty set

  • Edwinkumar
  • · Replies 3 ·
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3

Undergrad What are the Limits for Computing the Volume of a Cylinder Inside a Sphere?

  • boneill3
  • · Replies 4 ·
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4

Graduate Turning point of car on the left or right of travel direction.

  • keick
  • · Replies 3 ·
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3

Undergrad Maxima and Minima of z=f(x,y) theorems

  • sutupidmath
  • · Replies 19 ·
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19

High School Why is 0! equal to 1?

  • klite
  • · Replies 14 ·
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14

Graduate Summation formula for trig functions

  • FrankJ777
  • · Replies 1 ·
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1

Undergrad Finding Level Curves of f(x,y)=xy

  • ozgurakkas
  • · Replies 3 ·
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3

Undergrad How to simplify du/d(y/u) when differentiating with respect to a ratio

  • womfalcs3
  • · Replies 2 ·
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2

Graduate How to prove bessel function J1/2(x) = sqrt(2/πx)sinx;

  • leyyee
  • · Replies 5 ·
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5

Undergrad Finding position, velocity and angle between paths of two boats

  • SSUP21
  • · Replies 1 ·
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1

Undergrad How to Convert an Integral from (1 + x) to 1 - n/(x+n)

  • confused88
  • · Replies 3 ·
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3

Graduate Is sin-1(2i) Equal to 0.5 + 1.31696i?

  • symsane
  • · Replies 4 ·
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4

Graduate How Is the Solid Angle Formula Derived?

  • daudaudaudau
  • · Replies 14 ·
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14

Graduate Can the integral of cos^-1(arctan) be evaluated directly?

  • jamie516
  • · Replies 17 ·
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17

Graduate Laplacian in spherical harmonics

  • ber70
  • · Replies 3 ·
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3

Undergrad Calculating ln2 with Maclaurian Series

  • cragar
  • · Replies 5 ·
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5

Graduate Solve "Impossible Integral" with Bessel Functions

  • madmike159
  • · Replies 6 ·
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6

Undergrad How Do You Calculate the Area Under the Curve f(x) = 9/x from 5 to 10?

  • mathdum
  • · Replies 5 ·
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5

Undergrad Transforming piecewise continuous functions

  • djeitnstine
  • · Replies 4 ·
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4

Graduate Can a Force of Gravitation Be Considered Conservative?

  • WiFO215
  • · Replies 4 ·
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4

Graduate Confusion with Calculating Centroid and Center of Mass for a Cone

  • WiFO215
  • · Replies 4 ·
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4

Undergrad What is the meaning of differentiation and integration in calculus?

  • Amar.alchemy
  • · Replies 4 ·
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4

Graduate Convergence of Constant Measure Sets in Finite Measure Spaces?

  • SpaceTag
  • · Replies 4 ·
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4

Undergrad Why is partial fraction decomposition used in calculus and differential equations?

  • jmason52
  • · Replies 2 ·
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2

Graduate Which Plane Passes Through the Intersection Line and Satisfies Given Conditions?

  • SSUP21
  • · Replies 3 ·
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3

Undergrad Convert equation of a line on a plane to R3 equation

  • swraman
  • · Replies 3 ·
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3

Undergrad A parallelepiped is formed by vectors u = (-2,3,5), v = (4,2,8) and w

  • SSUP21
  • · Replies 2 ·
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2

Undergrad Approaching a Limit: Does x Reach 1?

  • bacon
  • · Replies 2 ·
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2

Undergrad Finding the time when velocity equals a target value given v = e^t

  • spam_hammer
  • · Replies 7 ·
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7

Graduate How can I numerically solve for f(q) using only its derivative, f'(x)?

  • eman7613
  • · Replies 2 ·
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Graduate Double integral-Surface area

  • IniquiTrance
  • · Replies 3 ·
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3

Graduate Why Don't We Use the Jacobian in Surface Integrals?

  • IniquiTrance
  • · Replies 4 ·
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4

Undergrad Why is restricting the x values to a closed neighborhood important?

  • JG89
  • · Replies 1 ·
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1

Undergrad I found something, but I'm not sure what it is. Summation Notation

  • saganforever
  • · Replies 3 ·
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Undergrad Workspace Volume in Spherical Coordinates

  • hi_hopes
  • · Replies 3 ·
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3

Graduate Any idea about how determine body movement upun the accelerations?

  • niko2000
  • · Replies 3 ·
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3

Graduate How to show cons. of Energy from F=change of potential

  • trelek2
  • · Replies 2 ·
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2

Graduate Newtonian potentials in Helmholtz decomposition

  • Savant13
  • · Replies 2 ·
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2

Undergrad Why Separate x^7 into x^4 x^3 in Integration by Parts?

  • yUNeeC
  • · Replies 11 ·
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11

Undergrad Lagrange Multiplers with Two Constraints

  • keemosabi
  • · Replies 4 ·
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4

Graduate Geometric intepretation of Taylor series

  • mnb96
  • · Replies 2 ·
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2

Graduate Complex analysis: laurent, residues

  • shakeydakey
  • · Replies 2 ·
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2

Graduate Solving Elliptic Integral: Replacing x with 1/kx

  • kexue
  • · Replies 8 ·
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8

Graduate U-th root of 1/u as u goes to infinity is 1.

  • lukaszh
  • · Replies 5 ·
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5

Graduate Coordinate transformation of nabla operator

  • Marin
  • · Replies 1 ·
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Graduate Show that this sequence converges to 0

  • fishingspree2
  • · Replies 4 ·
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4

Graduate Closure of f(A): Is it a Closed Set?

  • poutsos.A
  • · Replies 5 ·
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Undergrad Solution of a recursion relation

  • ledamage
  • · Replies 1 ·
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1

Graduate Is Any Closed Curve Homotopic to a Constant Curve in a Simply Connected Region?

  • variety
  • · Replies 3 ·
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Graduate Double integral showing a range of values?

  • caseyjay
  • · Replies 15 ·
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Graduate Difference between ∇·F and F·∇ for vector fields

  • Savant13
  • · Replies 3 ·
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3

Undergrad How to derive a Parametric Equation?

  • DrummingAtom
  • · Replies 8 ·
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8

Undergrad Can the Derivative of a Summation be Calculated with a General Rule?

  • Trepidation
  • · Replies 1 ·
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1

High School Is d(2x) equal to dx in Calculus?

  • JamesGoh
  • · Replies 6 ·
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6

Undergrad How to Evaluate Limits with ln(pi) and ln(4)?

  • fishingspree2
  • · Replies 3 ·
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3

Undergrad Convergence/Divergence of this sequence

  • fishingspree2
  • · Replies 4 ·
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4

Undergrad Are inverse functions in R^n an identity matrix?

  • GregA
  • · Replies 3 ·
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3

Undergrad How Does Adding Higher Derivatives Improve Polynomial Approximations?

  • wajed
  • · Replies 2 ·
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2

Graduate Uniform and Pointwise Convergance of Functions

  • logarithmic
  • · Replies 1 ·
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1

Undergrad Struggling to show that this series converges.

  • Set Abominae
  • · Replies 4 ·
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4

Graduate Can You Integrate (ln ln x)^n Using a Taylor Series?

  • flouran
  • · Replies 5 ·
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5

Graduate Calculus hangup in Gravitation

  • nonne
  • · Replies 1 ·
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1

Graduate Finding Points of Tangency for Parallel Planes on a Multivariable Surface

  • Jared596
  • · Replies 8 ·
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8

Undergrad Visualizing Tangent Vectors on a Sphere: How to Interpret Geometrically?

  • Daveyboy
  • · Replies 4 ·
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4

Graduate Vector Identities: Calculate \nabla \cdot (f \nabla \times (f F))

  • Monster007
  • · Replies 1 ·
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1

Graduate Is z=0 a Non-Isolated Singularity in \(\frac{1}{\sin(\frac{\pi}{z})}\)?

  • krindik
  • · Replies 9 ·
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9

Undergrad When to use spherical and cylindrical coordinates?

  • nb89
  • · Replies 1 ·
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1

Graduate How do you prove this consequence of the triangle inequality?

  • AxiomOfChoice
  • · Replies 2 ·
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2

Undergrad Distance Traveled by a Car Before Stopping

  • Erin_Sharpe
  • · Replies 5 ·
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5

Undergrad How Is the Fourier Transform Applied to the Rect Function?

  • mr_whisk
  • · Replies 3 ·
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3

Graduate Solving L^p, L^q Subset Inequalities in X Sets of Arbitrary Size

  • Edwinkumar
  • · Replies 11 ·
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11

Undergrad Convergence of Series: Comparison vs. Limit Comparison Test

  • squenshl
  • · Replies 6 ·
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6

Undergrad Bounded Derivative of f(x) = xCos(x) for 0<= x<=5

  • slippers
  • · Replies 2 ·
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2

Undergrad Which Calculus II Topic Best Applies to Telecommunication Engineering?

  • Peon666
  • · Replies 5 ·
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5

Graduate How does one integrate for positive beta and real b ?

  • daudaudaudau
  • · Replies 7 ·
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7

Undergrad Does the Series 1/(3n-2)(3n+1) Converge and What is Its Sum?

  • squenshl
  • · Replies 14 ·
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14

Graduate Monotonicity of the riemann integral

  • Markjdb
  • · Replies 4 ·
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4

Undergrad How Does Corresponding Number Ensure Limit Existence?

  • wajed
  • · Replies 2 ·
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2

Graduate Can the Product of Non-Measurable Sets Be Measurable?

  • ak416
  • · Replies 11 ·
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11

Graduate Range of the Hausdorff dimension

  • OB1
  • · Replies 2 ·
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2

High School Can You Create a Function that Triples Every 7 Starting at 20?

  • jared89
  • · Replies 2 ·
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2

Graduate Branch-cut singularity of a complex logarithm

  • gremezd
  • · Replies 2 ·
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2

Free programs for writing formulas and graphing

  • Towk667
  • · Replies 4 ·
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4

Undergrad If a function f is differentiable at a point x = c of its domain, then

  • JG89
  • · Replies 8 ·
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8

Graduate Is Zeta Regularization Valid for Divergent Series?

  • zetafunction
  • · Replies 8 ·
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8

Undergrad Proof of Taylor's formula for polynomials

  • JG89
  • · Replies 1 ·
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1

Graduate How Do You Set Up Integrals in Polar Coordinates for Volume Calculation?

  • Sparky_
  • · Replies 3 ·
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3

Graduate Fourier transform of a real signal

  • FrogPad
  • · Replies 1 ·
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1