Calculus Forum

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Graduate (Spivak) - a function with strange behaviour.

Undergrad Algebraic division step in quotient rule derivation

High School Questions About Intervals in Calculus for 14 Year Olds

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

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

Undergrad Solving Tuff Limit Problem: Factoring Out Rational Function

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

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

High School How to graph y = x + sin(x)

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

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

Undergrad Prove the derivative of ln|x| and its limits

Undergrad Finding velocity and distance equation given acceleration 800

High School Zero divided by Zero: A Dangerous Indeterminate

Undergrad Inverse Trigonometric Functions / Rates of change with 2 points of references

Undergrad How do you integrate (r^2-x^2)^(1/2) with a constant r?

Undergrad Maximum area of rectangle with base on x-axis inscribed in y=12-x²

Graduate How to Compute the Derivative of a Complex Modulus Function

Undergrad Integral Solve for u + at^2/c^2

Graduate How do I reparameterize a curve with respect to arc length?

Graduate Motion of a particle performing damped vibrations

Undergrad Equation of Motion for a Particle: Finding Acceleration in Terms of Velocity

Undergrad Series representation and other problems

High School How can I use codes to show math equations?

Undergrad Integrating x(1+x^6/L^6) from 0 to L

Undergrad I on the graphs of antiderivatives

Undergrad Tangent Plane And Normal Vector.

Undergrad Solving Linear Equations: y' - ytanx = 2x/cosx

Undergrad When do dam gates close if 300 megalitres flows at rate R = cos 0.001t?

High School Finding displacement time for particle with velocity v = 3cos(t/3)

Graduate Integral of e^(-ax)·sin(x)/x from 0 to infinity

Undergrad Solve Integrals by Parts: 2xln(3x)

Undergrad Rate of surface area increase for a growing cube

Graduate What is the maximum value of b for a given function with certain properties?

Undergrad Find Domain of (F∘G)(x): Example

Undergrad Error bounds - Simpson, Trap, and Midpoint

Graduate Computing the infinite product (1−x)(1−x²)(1−x³)... for x in (0,1)

High School Do i just use the chain rule to differentiate 3^2x

Graduate Finding the imaginary part of ∫e^(x(2+3i)) dx

Graduate Finding q where average cost equals marginal cost

Graduate How to use complex exponential to find higher derivatives of e^x cos(x√3)?

Graduate Finding the direction of steepest descent from (1,1)

High School Having trouble simplifying conjugate

High School Evaluate the limit of (2x^2-x-3)/(x+1) as x approaches -1

Undergrad Limit of (1/2+(x/(x+3))/(x+1) as x approaches -1

Undergrad What is the Limit of (4[(SQRT(x+2)) – (SQRT2))]/x as x approaches 0?

Undergrad Parametric Equation for Perpendicular Line Through (0,1,2)?

Undergrad How do delta-epsilon arguments prove limits?

Undergrad How Do I Calculate the Tangent Line and Normal Line of a Path in Calculus?

Undergrad How to Derive e^(0.3x) = (70-63x)/(40-24x)?

Undergrad Solving Calculus Problems with Mechanics

Undergrad How Do I Solve Polynomial Equations with Real and Complex Roots?

Undergrad Tangent lines on the Golden Spiral

Graduate Divergence theorem with hyperboloid and tetrahedron regions

Graduate Is \sum (\sqrt{k+1} - \sqrt{k})(\ln{k+1}-\ln{k}) convergent or divergent?

Graduate Twice continuously differentiable function

Graduate Therefore \oint_{S}\vec{r}\cdot\vec{n}dS=3V

Graduate When can homotopic curves be used for line integrals?

Graduate Proving Convexity of a Function on an Open Interval

Graduate Calculating the Flux of F (Vector Calculus)

Graduate Proving the product rule for divergence of a scalar and vector field

Undergrad Integrating inverse trigonometric functions

Graduate Calculating Surface Integrals with Stokes' Theorem

High School Solving Sin(2x)+Sin(x)=0 over [0,2π)

Graduate Math Problem Inquiry Involving nonzero polynomials

Undergrad How do i integrate (cot(x))^2

Undergrad Find k such that the line is tangent to the graph

Undergrad How to Separate Variables in an Initial Value Problem?

Undergrad Calculating Volume with Integration: 4/3(pi)r^3

Graduate Does X/0 = Infinity? Results of My Calculus Class Discussion

Graduate What is the 'Beautiful Mind' Equation and Does it Have a Solution?

Undergrad How do I expand (1+x+x²+...+x^(n-1))²?

Graduate How to Find a Sum Using Poisson Summation Formula and Fourier Transform?

Undergrad Have a cone and divide it into infinately small slices

Undergrad Computing derivatives of factorials beyond simple cases

Graduate Integral of 1/(1-x³)

Undergrad Reparametrizing a space curve in terms of arclength:

Undergrad Volume Problem - What Am I Doing Wrong?

Undergrad Parametric Equations Tanget lines

Graduate Singularity type of 1/f(z) when f has essential singularity

Graduate Example of Levenberg-Marquardt-Method

Graduate How Do You Compute the Surface Area of a Cone Segment Between Two Planes?

Undergrad How do I solve this first order partial derivative problem?

Undergrad Integral of 1/1-sinx exist in 0-180?

Undergrad Deriving a Complex Function: What is the Best Method?

Undergrad How Do You Calculate the Rate of Change in the Length of a Shadow?

Undergrad Solve for x algebraically in the interval 0<x<2pi sin2x + 4sinx = cosx + 2

Undergrad Line integral curiosity/confusion

Undergrad How Do You Solve the Integral of 1/Sqrt(1-x^2)?

High School Does (1/x^0)*x Equal x^2?

Undergrad Find the amplitude and period of the function

Undergrad Is the Derivative of (x^2-6x+9)(2x^2-x+1) Correct?

Graduate Sketching a phase portrait for dx/dt=y-x, dy/dt=x-y

Undergrad Is the Series \(\sum_{n=1}^\infty \frac{\cos{\frac{n}{2}}}{n^2+4n}\) Convergent?

Undergrad Solving a Physics Problem Involving Inverse Trig Function

High School Integrating 1/x^3: -2/x^2 or -1/2x^2?

Undergrad Maximum volume that can be calculated?

Graduate Good expositions on quasiconformal mappings and Teichmuller spaces?

Graduate Understanding Lambda Calculus and Its Role in Computer Science