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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.
MHB How to Minimize the Integral of \(\int_0^{\pi/2} |\cos(x)-ax^2|\,dx\)?
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Undergrad Understanding the Derivation of the Quadratic Formula
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High School Extremely easy math, but need expression
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Undergrad Solving Dy/Dx = 3-x/y+4: Integral of Both Sides
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MHB What are the values of b for a minimum of x^2 + bx - 25?
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MHB Maximizing the surface of a cylinder and a box
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MHB Antiderivative Question for ∫a^x dx: Is it a^x/ln a or a^x/ln|a|?
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MHB Further question on My Fractions problem
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MHB Apply the divergence theorem to calculate the flux of the vector field
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MHB How Do You Plot and Find Alternate Polar Coordinates?
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MHB What is the work done on a frustum?
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MHB Solve Fractions Problem: Slope at (1,3)
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Graduate Approximating Division for X1, X2 & ΔX Expressions
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MHB Molly's question at Yahoo Questions regarding constrained optimization
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Graduate Why does the series Taylor expand as e^-nx?
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Graduate How Is the Second Derivative of an Inverse Function Calculated?
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Undergrad Contour integration and Calc. of complex functions
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Graduate How to Calculate the Radii of Curvature for a 3D Flexible Chain?
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Undergrad How do I find the length of a curve using calculus?
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High School Integration Limits: Is Upper Limit Always Greater Than Lower?
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MHB Finding Concavity: What is the Value of t for a Concave Upward Curve?
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MHB Finding concavity when differentiating to dy/dx and d^2y/dx^2
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MHB Find inflection pt with constant K
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MHB Finding Partial Derivatives with Transformations
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Graduate Is There an Equivalent Expression to ∫ f·dr for Surface Integral?
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Undergrad Answer: Limit of Big-O Terms: O(1/x) & O(x)
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Undergrad Differentiation under the integral sign
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MHB Real World Apps of Improper Integrals: Impact & Syllabus
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Undergrad Improper Integrals: Real-Life Applications & Syllabus Impact
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MHB Series Expansion: Show Sin^Cos x = x + O(x^3)
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MHB Evaluating $\displaystyle \sum_{k=1}^{49} \dfrac{1}{\sqrt{ k+\sqrt{k^2-1}}}$
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MHB Can This Infinite Series Be Summed?
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MHB Torres' question at Yahoo Answers regarding minimizing the cost of a box
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Graduate Solve Diferential Equation: d2u/(dθ)^2+u=0 → u=cos(θ-θ0)
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MHB What Is the Optimal Size of a Cylinder in a Cone to Maximize Volume?
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Undergrad Double Substitution Correct or Faulty?
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MHB Finding the exact length of the curve (II)
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MHB Center of Gravity Calc: $\bar{y}$
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Graduate Mean ray length from apex to base of an oblique circular cone
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MHB Sam m's question at Yahoo Answers regarding a solid of revolution
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MHB Maximizing the volume of a beam cut from a cylindrical trunk
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MHB Find the exact length of the curve
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MHB Maximizing the volume of a cylindrical postal package
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Undergrad Integral of a function of various variables
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MHB Does the limit of (sin(x)sin(x))/(x^2 + y^2) as (x,y) approaches (0,0) exist?
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MHB Find Function f: Area Under Curve A & Above 3A, \(f(x_1)=y_1\)
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MHB Partial Derivatives Problem Evaluating at (0,0)
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MHB Limit of ((x2+y2+1)1/2) - 1: Evaluate & Simplify
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Graduate Area element, volume element and matrix
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MHB Kunal's question at Yahoo Answers regarding Lagrange multipliers
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Graduate Does anyone know an infinite series summation that is equal to i?
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MHB Thank you for your understanding.
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Undergrad Green's theorem and area calculation
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Graduate Finding the Gradient Vector for a Given Point on a Surface
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MHB How can the lower rectangle method for area approximation be improved?
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MHB First fundamental theorem of Calculus
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MHB Maximizing Volume of a 5-Sided Box w/ Cutout Corners
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MHB Surface Area of ball floating in water
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MHB Calculus of Variation: Maximizing Volume & Min Area
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Graduate How Do Contour Integrals Apply to Green's Functions in Acoustic Wave Equations?
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Graduate The Integration-By-Parts Formula for Vector Products
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Graduate Vector calculus: angular momentum operator in spherical coordinates
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Graduate First order differential eqn dy/dx + Py = Qy^n
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MHB Hp1357's question at Yahoo Answers regarding an extended product rule
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MHB Volume of a Pyramid: Find A(z) to Calculate V
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MHB Indefinite Integral using Trig Identity i'm confused
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MHB Antiderivative involving Trig Identities.
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MHB Finding the Continuous Intervals for a function
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MHB Integrating Symmetric Definite Integrals: A Trick for Evaluating $U_n-U_{n-1}$
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MHB Why is the chain rule fallacious?
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MHB Is the Function f=tan(2x)/x Continuous at x=0?
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Graduate Fourier transform of the linear function
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MHB Chain Rule in 2D Function Transformation
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MHB Why e is "natural", and why we use radians.
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Undergrad Difference between Force components using triangle rule and dotproduct
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Graduate Question about the curl with a specific type of field
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MHB Area Under Curve: Finding the Missing Area
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Graduate Can Infinite Sums Be Manipulated by Shifting Terms?
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MHB Synne's question at Yahoo Answers regarding the slope of an astroid
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Undergrad Why is there a differential in an indefinite integral?
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MHB Which Angle Convention Is Most Common in Spherical Coordinates, Theta or Phi?
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MHB What values of tan alpha and tan beta satisfy a trigonometric inequality?
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MHB Confusing Implicit Differentiation Problem
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MHB Is the Integral \int^0_{-\infty} \frac{1}{3 - 4x} dx Divergent or Convergent?
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MHB Maximum and minimum 283: minimize cost
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Undergrad Proving e^x is equals its own derivative?
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MHB MaleahP's question at Yahoo Answers regarding related rates
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MHB Understanding Fraction Simplification
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MHB Derivative of 2^x - Is it 2^x ln(x) or ln(2)?
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MHB Solve Integral of ln(x^2-1) with Ease: Step-by-Step Guide
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Graduate What is a function, when you consider the partial/total derivative?
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MHB Integrable Function on $[0,1]$: Proving a Limit
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Graduate Calculus of Variation: Extremum & Further Variances
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Graduate What does this special arrow symbol mean?
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MHB Monica's question at Yahoo Answers regarding Linear Approximation
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MHB Trig Calculus: Solving y = sin^2(x) / cos^2 (x)
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MHB Why Can't I Integrate \( e^{\sqrt{x}} \) Like \( (3x+5)^{5} \)?
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MHB How to Evaluate the Given Definite Integral?
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MHB Local Extrema of f(x,y)=3sin x sin y
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Graduate Taylor series in terms of discrete derivative
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