New posts in multivariable-calculus

Tangent plane to sphere

multivariable-calculus

Multivariable calculus: hard problems with solutions

multivariable-calculus

Prove That If $(x^{2}+y^{2})\cos^{2}\psi+z^{2}\cot^{2}\psi=A^2$ then $\nabla ^2 \psi=0$.

calculus multivariable-calculus

How do I compute the surface area of the following surface?

multivariable-calculus surfaces

Does $\lim_{(x,y)\to(0,0)}[x\sin (1/y)+y\sin (1/x)]$ exist?

limits multivariable-calculus

Evaluate the limit: $\lim_{(x,y,z)\to(0,0,0)}\frac{xy+yz^2+xz^2}{x^2+y^2+z^4}$

multivariable-calculus

Limit with integral or is this function continuous?

integration limits multivariable-calculus continuity

Proving differentiable mapping is onto

linear-algebra analysis multivariable-calculus

Example of distinctions between multiple integral and iterated integrals.

calculus real-analysis integration multivariable-calculus riemann-integration

One Question about the Fubini's Theorem

calculus real-analysis integration multivariable-calculus

Parallelogram / Polarization Inequality

real-analysis functional-analysis multivariable-calculus inequality hilbert-spaces

Topological Open Mapping Theorem for mappings between different Euclidean dimensions?

general-topology analysis multivariable-calculus reference-request differential-topology

Can we tell if a function has a max or min by looking along specific directions?

multivariable-calculus maxima-minima

Use Stokes's Theorem to show $\oint_{C} y ~dx + z ~dy + x ~dz = \sqrt{3} \pi a^2$

integration multivariable-calculus

Application of the chain rule to $3$-layers neural network

real-analysis statistics multivariable-calculus machine-learning neural-networks

Find all functions $F(x,y)$ such as $\frac{\sqrt{3}}{2}\frac{\partial{f}}{\partial{x}}+\frac{1}{2}\frac{\partial{f}}{\partial{y}}=0$

multivariable-calculus proof-writing partial-derivative

How much can we "cheat" and use vector knowledge in complex analysis?

complex-analysis multivariable-calculus vector-spaces physics

Evaluating differential forms.

multivariable-calculus differential-forms

Partial derivative of a two variables function, one of which dependent on the other

multivariable-calculus derivatives partial-derivative

Elliptic Integrals & Gamma Functions of Rational values.

real-analysis integration sequences-and-series multivariable-calculus elliptic-integrals