calculus related issues & queries in MathXchanger

About functions and domain

calculus integration functions solution-verification
Updated June 01, 2020 01:20 AM

Gravity INSIDE a solid sphere by integrating mass elements

multivariable-calculus differential-geometry physics
Updated June 01, 2020 01:20 AM

Piecewise function query

calculus limits functions
Updated June 01, 2020 01:20 AM

$2016^\frac{k}{n}$ is irrational, where $n\geq 2, 1\leq k<n$.

calculus
Updated June 01, 2020 00:20 AM

Derivative of a matrix with respect to another matrix

linear-algebra matrix-calculus tensors
Updated May 31, 2020 23:20 PM

How to identify quadric surface and quadric curves?

multivariable-calculus quadrics
Updated May 31, 2020 23:20 PM

Calculus Question..

calculus
Updated May 31, 2020 22:20 PM

Continuity of piecewise function using topology

calculus general-topology functions
Updated May 31, 2020 21:20 PM

How to find the second derivative for a parametric function?

multivariable-calculus parametric
Updated May 31, 2020 21:20 PM

Use of calculus in calculating maximum angle at which the parabolic path is covered by the body, is maximum.

calculus integration physics classical-mechanics
Updated May 31, 2020 20:20 PM

How to expand $(\partial_\mu A^\mu)^2$

calculus tensor-products
Updated May 31, 2020 20:20 PM

Definition of slope of parametric tangent

calculus derivatives parametric
Updated May 31, 2020 20:20 PM

Show $n I_n I_{n-1} = \frac{\pi}{2}$ where $I_n = \displaystyle\int_0^{\pi/2} \cos^n x dx$.

calculus integration sequences-and-series reduction-formula
Updated May 31, 2020 19:20 PM

Density definition implies total mass integral

calculus physics volume
Updated May 31, 2020 19:20 PM

Find distance between two curves on plane using calculus of variational

calculus-of-variations
Updated May 31, 2020 17:20 PM

How can I show that one inequality has a tighter bound than another?

calculus inequality
Updated May 31, 2020 17:20 PM

volume integral w/o or with cylinder coordinates

multivariable-calculus
Updated May 31, 2020 16:20 PM

Proof whether x^{2/3} is locally lipschitz or not

real-analysis calculus upper-lower-bounds
Updated May 31, 2020 16:20 PM

Fourier transform of a difficult signal

calculus fourier-analysis fourier-transform
Updated May 31, 2020 16:20 PM

Volume of an apple

multivariable-calculus definite-integrals volume spherical-coordinates
Updated May 31, 2020 16:20 PM

Find func extremum for the given condition

calculus extreme-value-analysis
Updated May 31, 2020 15:20 PM

Is it a convergent series?

calculus sequences-and-series limits
Updated May 31, 2020 15:20 PM

Show that not exists any polynomial function such that $f(x) = \log (1+x)$.

calculus derivatives polynomials
Updated May 31, 2020 14:20 PM

Feasible points of $2x+2y\le 6$ and $3x+5y\le14$

calculus optimization
Updated May 31, 2020 14:20 PM

How to solve this double integral with an absolute value?

calculus integration
Updated May 31, 2020 13:20 PM

Why can $e^x$ be defined as the unique function $f(x)$ such that $f(x)=f'(x)$ and $f(0)=1$?

calculus ordinary-differential-equations derivatives exponential-function
Updated May 31, 2020 13:20 PM

Calculus word problem involving volume of solid of revolution

calculus volume solid-of-revolution
Updated May 31, 2020 12:20 PM

Applying Itô's formula on trigonometric identity

stochastic-processes stochastic-calculus quadratic-variation
Updated May 31, 2020 12:20 PM

The number between two limiting functions is unique.

real-analysis calculus real-numbers
Updated May 31, 2020 12:20 PM

How to visualize Euler's number?

real-analysis calculus geometry derivatives eulers-constant
Updated May 31, 2020 12:20 PM

Making every portfolio self-financing

probability-theory stochastic-processes stochastic-calculus martingales finance
Updated May 31, 2020 10:20 AM

How does error analysis and significant figures actually work?

numerical-methods numerical-calculus rounding-error
Updated May 31, 2020 10:20 AM

Value of ${\displaystyle \int _0^{+\infty }\:\frac{1}{\left(1+x^2\right)\left(1+x^{\alpha }\right)}dx}$ while $\alpha$ is constant

calculus
Updated May 31, 2020 09:20 AM

If $a_1a_2 = 1, a_2a_3 = 2, a_3a_4 = 3 \cdots$ and $\displaystyle \lim_{n \to \infty} \frac{a_n}{a_{n+1}} = 1$. Find $|a_1|$

calculus limits
Updated May 31, 2020 09:20 AM

Does $\int_{x_1}^{x_2}\frac{1}{f^{-1}(x)}dx=\int_{f^{-1}(x_1)}^{f^{-1}(x_2)}\frac{f^{\prime}(y)}{y}dy$ thold?

calculus definite-integrals integral-transforms
Updated May 31, 2020 09:20 AM

For periodic $f,g$ (and continuous), does $\lim (f-g) = 0 $ implies $f=g$?

real-analysis calculus limits solution-verification
Updated May 31, 2020 08:20 AM

Sum of power series $\sum_{k=1}^{\infty}(-1)^{k-1}\frac{x^{k+1}}{k(k+1)}$

real-analysis calculus power-series
Updated May 31, 2020 08:20 AM

Stochastic exponential of Ito procss local martingale iff the Ito process is

stochastic-calculus stochastic-analysis
Updated May 31, 2020 08:20 AM

Radial Brownian Motion

probability statistics stochastic-processes stochastic-calculus brownian-motion
Updated May 31, 2020 08:20 AM

How to prove: $\:a\:<x<b$ while $0<\lambda <1,\:a\:<\:x_1<b,a<x_2<b,x_1!=x_2,\:x=\lambda x_1+\left(1-\lambda \right)x_2$

calculus
Updated May 31, 2020 08:20 AM

formula for the boundary conditions ( 𝑓(0)=y_𝑚𝑖𝑛; 𝑓(1)=1; dy/dx=a, when x=1 and y=1; dy/dx=b, when y=y_min and x=0 ; 0≤y_min<1, 1≥ a ≥0, b ≥1)

calculus geometry derivatives interpolation upper-lower-bounds
Updated May 31, 2020 07:20 AM

Can someone recommend for me a text-book about applications of Taylor series?

calculus ordinary-differential-equations reference-request taylor-expansion book-recommendation
Updated May 31, 2020 07:20 AM

What’s the limit of this function as $(x,y) \to (0,0)$?

calculus limits multivariable-calculus
Updated May 31, 2020 06:20 AM

Show that $|b-a|\geq|\cos a-\cos b|$ for all real numbers a and b

real-analysis calculus functions absolute-value
Updated May 31, 2020 06:20 AM

Residue at essential singularity of $\frac{\mathrm{e}^{\frac{1}{z}}}{z^2-2z+2}$

complex-analysis residue-calculus
Updated May 31, 2020 06:20 AM

Classic Probability Question: Is my method valid?

calculus probability combinatorics probability-theory probability-distributions
Updated May 31, 2020 05:20 AM

Equation of a "titled" sphere

multivariable-calculus
Updated May 31, 2020 05:20 AM

Proving that the optimal point of an optimization problem satisfies an inequality

multivariable-calculus optimization
Updated May 31, 2020 03:20 AM

Which of the following is true about $f(x)=\int_0^x[t]dt$?

calculus limits derivatives floor-function
Updated May 31, 2020 01:20 AM

The directional derivative in cylindrical coordinates.

multivariable-calculus derivatives cylindrical-coordinates
Updated May 31, 2020 01:20 AM

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