https://liberty.io/solving-bernoulli-differential-equation.htmlBuzz Spill Dailyen2026-08-12T10:17:38-04:00Solving bernoulli differential equationhttps://liberty.io/is-there-really-no-way-to-integrate-e-x-2.htmlBuzz Spill Dailyen2026-08-12T10:11:45-04:00Is there really no way to integrate $e^{-x^2}$?https://liberty.io/how-to-find-the-volume-of-a-tetrahedron.htmlBuzz Spill Dailyen2026-08-12T10:06:46-04:00How to find the volume of a tetrahedron?https://liberty.io/vector-dot-product-0-for-perpendicular-vectors.htmlBuzz Spill Dailyen2026-08-12T09:59:40-04:00Vector dot product = 0 for perpendicular vectorshttps://liberty.io/showing-an-isometry-preserves-angles.htmlBuzz Spill Dailyen2026-08-12T09:58:07-04:00Showing an isometry preserves angleshttps://liberty.io/when-is-it-allowed-to-take-apart-a-limit-multiplication-of-limits.htmlBuzz Spill Dailyen2026-08-12T09:46:09-04:00When is it allowed to "take apart" a limit (multiplication of limits)?https://liberty.io/what-do-you-get-when-you-take-the-square-root-of-a-negative-imaginary-.htmlBuzz Spill Dailyen2026-08-12T09:41:40-04:00What do you get when you take the square root of a negative imaginary number?https://liberty.io/prove-that-sin-x-cos-x-sqrt2-sin-left-x-frac-pi4-right.htmlBuzz Spill Dailyen2026-08-12T09:37:11-04:00Prove that $\sin(x)+\cos (x)=\sqrt2\sin\left(x+\frac\pi4\right)$https://liberty.io/why-we-use-multiplication-rule-in-an-independent-event-in-probability.htmlBuzz Spill Dailyen2026-08-12T09:21:54-04:00Why we use multiplication rule in an independent event in Probability?https://liberty.io/limit-of-the-ratio-of-consecutive-fibonacci-numbers-duplicate.htmlBuzz Spill Dailyen2026-08-12T09:11:01-04:00Limit of the ratio of consecutive Fibonacci numbers [duplicate]https://liberty.io/definition-of-continuity.htmlBuzz Spill Dailyen2026-08-12T09:05:49-04:00Definition of continuityhttps://liberty.io/what-is-the-meaning-of-evaluating-the-divergence-at-a-point.htmlBuzz Spill Dailyen2026-08-12T09:02:27-04:00What is the meaning of evaluating the divergence at a _point_?https://liberty.io/create-unique-number-from-2-numbers.htmlBuzz Spill Dailyen2026-08-12T09:01:44-04:00Create unique number from 2 numbershttps://liberty.io/intuitive-proof-of-multivariable-changing-of-variables-formula-jacobia.htmlBuzz Spill Dailyen2026-08-12T09:00:25-04:00Intuitive proof of multivariable changing of variables formula (Jacobian) without using mapping and/or measure theory?https://liberty.io/understanding-e-and-e-to-the-power-of-imaginary-number.htmlBuzz Spill Dailyen2026-08-12T08:54:14-04:00Understanding $e$ and $e$ to the power of imaginary numberhttps://liberty.io/suppose-that-a-and-b-are-positive-integers-such-that-a-2-3b-2-show-tha.htmlBuzz Spill Dailyen2026-08-12T08:46:55-04:00Suppose that $a$ and $b$ are positive integers such that $a^2 = 3b^2$. Show that $0 < b < a < 2b$ and $(3b-a)^2 = 3(a-b)^2$https://liberty.io/find-the-infinite-sum-of-the-series-sum-n-1-infty-frac-1-n-2-1.htmlBuzz Spill Dailyen2026-08-12T08:44:39-04:00Find the infinite sum of the series $\sum_{n=1}^\infty \frac{1}{n^2 +1}$https://liberty.io/why-the-complex-number-6-sin-240-circ-i-cos-240-circ-lies-in-first-qua.htmlBuzz Spill Dailyen2026-08-12T08:12:35-04:00Why the complex number $6(\sin(240^{\circ}) + i \cos(240^{\circ}))$ lies in first quadrant?https://liberty.io/second-derivative-of-a-polar-coordinate.htmlBuzz Spill Dailyen2026-08-12T08:09:52-04:00Second Derivative of a Polar Coordinatehttps://liberty.io/prove-n-is-o-n-log-n-closed.htmlBuzz Spill Dailyen2026-08-12T07:44:49-04:00prove $n$ is $O(n\log n)$ [closed]https://liberty.io/how-to-intuitively-understand-eigenvalue-and-eigenvector.htmlBuzz Spill Dailyen2026-08-12T07:41:51-04:00How to intuitively understand eigenvalue and eigenvector?https://liberty.io/to-convert-rotation-vector-to-rotation-matrix-the-rotation-vector-must.htmlBuzz Spill Dailyen2026-08-12T07:41:25-04:00To Convert Rotation Vector to Rotation Matrix, the Rotation Vector Must be Unit?https://liberty.io/what-does-it-mean-to-be-affinely-independent-and-why-is-it-important-t.htmlBuzz Spill Dailyen2026-08-12T07:38:35-04:00What does it mean to be "affinely independent", and why is it important to learn?https://liberty.io/2d-rubik-039-s-cube.htmlBuzz Spill Dailyen2026-08-12T07:37:58-04:002D Rubik&#039;s cube?https://liberty.io/solve-x-2-5x-3-x-2-x-in-mathbb-r.htmlBuzz Spill Dailyen2026-08-12T07:31:33-04:00Solve $x^2-|5x-3|-x<2,\ \ x\in \mathbb{R} $https://liberty.io/rate-of-change-of-cylindrical-roll-039-s-volume-as-it-unrolls.htmlBuzz Spill Dailyen2026-08-12T07:22:31-04:00Rate of Change of Cylindrical Roll&#039;s Volume as it Unrollshttps://liberty.io/what-did-tao-prove-in-the-paper-almost-all-orbits-of-the-collatz-map-a.htmlBuzz Spill Dailyen2026-08-12T07:17:53-04:00What did Tao prove in the paper "Almost All Orbits of the Collatz Map Attain Almost Bounded Values&#039;&#039;?https://liberty.io/equation-for-line-parallel-to-z-axis-and-intersects-x-axis-at-x-k-y-0-.htmlBuzz Spill Dailyen2026-08-12T07:12:32-04:00Equation for line parallel to z-axis and intersects x-axis at (x=k, y=0, z=0)https://liberty.io/derivative-method-of-proving-of-sqrt-x-ln-x.htmlBuzz Spill Dailyen2026-08-12T07:09:47-04:00Derivative Method of Proving of $\sqrt{x}>\ln x$https://liberty.io/why-is-the-maximum-rayleigh-quotient-equal-to-the-maximum-eigenvalue.htmlBuzz Spill Dailyen2026-08-12T06:57:15-04:00Why is the maximum Rayleigh quotient equal to the maximum eigenvalue?https://liberty.io/roll-1-die-and-square-or-roll-2-dice-and-multiply-which-has-higher-mea.htmlBuzz Spill Dailyen2026-08-12T06:46:51-04:00Roll $1$ die and square or roll $2$ dice and multiply; which has higher mean?https://liberty.io/circular-arrangements-at-a-round-table.htmlBuzz Spill Dailyen2026-08-12T06:46:31-04:00Circular arrangements at a round tablehttps://liberty.io/find-the-value-of-k-if-the-roots-of-an-equation-differ-by-2.htmlBuzz Spill Dailyen2026-08-12T06:43:57-04:00Find the value of k if the roots of an equation differ by 2.https://liberty.io/sum-of-2-consecutive-integers-is-x-then-their-product-will-be-closed.htmlBuzz Spill Dailyen2026-08-12T06:43:26-04:00Sum of 2 consecutive integers is $x$ then their product will be? [closed]https://liberty.io/integral-from-zero-to-zero.htmlBuzz Spill Dailyen2026-08-12T06:42:15-04:00integral from zero to zerohttps://liberty.io/is-there-a-way-to-solve-for-an-unknown-in-a-factorial.htmlBuzz Spill Dailyen2026-08-12T06:41:52-04:00Is there a way to solve for an unknown in a factorial?https://liberty.io/at-what-rate-is-the-angle-theta-changing-when-10-ft-of-rope-is-out.htmlBuzz Spill Dailyen2026-08-12T06:31:28-04:00At what rate is the angle $\theta$ changing when 10 ft. of rope is out?https://liberty.io/how-to-demonstrate-derivability.htmlBuzz Spill Dailyen2026-08-12T06:23:22-04:00How to demonstrate derivability?https://liberty.io/creating-a-bijection-to-check-if-graphs-are-isomorphic.htmlBuzz Spill Dailyen2026-08-12T06:20:45-04:00Creating a Bijection to check if Graphs are Isomorphichttps://liberty.io/how-to-find-critical-points-of-multidimensional-function.htmlBuzz Spill Dailyen2026-08-12T06:16:48-04:00How to find critical points of multidimensional function?https://liberty.io/find-the-number-of-ordered-pairs-of-positive-integers-x-y-that-satisfy.htmlBuzz Spill Dailyen2026-08-12T06:07:12-04:00Find the number of ordered pairs of positive integers (x, y) that satisfy the equation (1/x) +(1/y)= 1/2004. [duplicate]https://liberty.io/prove-that-a-set-is-countable.htmlBuzz Spill Dailyen2026-08-12T06:07:03-04:00Prove that a set is countablehttps://liberty.io/finding-the-points-of-intersection-in-polar-equations.htmlBuzz Spill Dailyen2026-08-12T06:05:45-04:00Finding the points of intersection in Polar Equationshttps://liberty.io/calculating-flux-across-s-a-graph-of-function-g-x-y-over-unit-disc-in-.htmlBuzz Spill Dailyen2026-08-12T05:54:52-04:00Calculating flux across S (a graph of function g(x,y) over unit disc in R2)https://liberty.io/proving-absolute-value-inequalities.htmlBuzz Spill Dailyen2026-08-12T05:49:36-04:00Proving absolute value inequalitieshttps://liberty.io/why-combining-two-quadratic-equations-of-a-circle-and-a-parabola-creat.htmlBuzz Spill Dailyen2026-08-12T05:39:50-04:00Why combining two quadratic equations of a circle and a parabola creates extra solutions for $x$https://liberty.io/is-it-true-that-if-a-b-c-d-then-ad-bc.htmlBuzz Spill Dailyen2026-08-12T05:39:49-04:00Is it true that if $A-B>C-D$ then $AD>BC$?https://liberty.io/complex-numbers-converting-to-polar-form.htmlBuzz Spill Dailyen2026-08-12T05:29:40-04:00Complex Numbers - Converting to Polar formhttps://liberty.io/value-of-sin-pi-18-by-nested-radicals.htmlBuzz Spill Dailyen2026-08-12T05:25:11-04:00Value of $\sin(\pi/18)$ by nested radicalshttps://liberty.io/solving-the-ode-x-2-1-y-039-039-2xy-039-2y-x-2-1-2.htmlBuzz Spill Dailyen2026-08-12T05:21:16-04:00Solving the ODE $(x^2 - 1) y&#039;&#039;- 2xy&#039; + 2y = (x^2 - 1)^2$https://liberty.io/show-that-for-all-real-numbers-a-and-b-ab-le-1-2-a-2-b-2-duplicate.htmlBuzz Spill Dailyen2026-08-12T05:15:22-04:00Show that for all real numbers $a$ and $b$, $\,\, ab \le (1/2)(a^2+b^2)$ [duplicate]https://liberty.io/using-square-area-finding-quadrilateral-area.htmlBuzz Spill Dailyen2026-08-12T05:11:23-04:00Using Square area finding quadrilateral areahttps://liberty.io/difference-between-factorization-theorem-and-fischer-neymann-theorem-f.htmlBuzz Spill Dailyen2026-08-12T05:09:15-04:00Difference between Factorization theorem and Fischer-Neymann theorem for t to be sufficient estimator of $\theta$https://liberty.io/where-039-s-the-error-in-this-2-1-fake-proof-duplicate.htmlBuzz Spill Dailyen2026-08-12T04:57:55-04:00Where&#039;s the error in this $2=1$ fake proof? [duplicate]https://liberty.io/total-injective-relations-are-always-functions.htmlBuzz Spill Dailyen2026-08-12T04:56:35-04:00Total injective relations are always functions?https://liberty.io/is-there-a-way-to-solve-sin-x-x.htmlBuzz Spill Dailyen2026-08-12T04:53:31-04:00Is there a way to solve $\sin(x)=x$?https://liberty.io/euler-and-the-factorial-function.htmlBuzz Spill Dailyen2026-08-12T04:51:05-04:00Euler and the factorial functionhttps://liberty.io/asymptote-of-a-line.htmlBuzz Spill Dailyen2026-08-12T04:50:22-04:00Asymptote of a line?https://liberty.io/properties-of-triangles-that-have-3-equal-120-degree-angles-around-an-.htmlBuzz Spill Dailyen2026-08-12T04:40:22-04:00Properties of triangles that have 3 equal 120 degree angles around an internal pointhttps://liberty.io/projection-of-ellipsoid.htmlBuzz Spill Dailyen2026-08-12T04:23:59-04:00Projection of ellipsoidhttps://liberty.io/what-is-a-covering-set-of-a-sierpinski-number-what-does-it-do.htmlBuzz Spill Dailyen2026-08-12T04:16:36-04:00What is a covering set of a Sierpinski number? What does it do?https://liberty.io/when-given-the-dimensions-of-a-cylinder-a-x-b-x-c-what-does-each-lette.htmlBuzz Spill Dailyen2026-08-12T04:12:59-04:00When given the dimensions of a cylinder (A x B x C) what does each letter represent?https://liberty.io/choose-a-coefficient-so-that-the-system-of-equations-has-exactly-one-s.htmlBuzz Spill Dailyen2026-08-12T04:12:31-04:00Choose a coefficient so that the system of equations has exactly one solutionhttps://liberty.io/why-does-trapezoidal-rule-have-potential-error-greater-than-midpoint.htmlBuzz Spill Dailyen2026-08-12T04:07:36-04:00Why does Trapezoidal Rule have potential error greater than Midpoint?https://liberty.io/a-place-to-learn-about-math-etymology.htmlBuzz Spill Dailyen2026-08-12T03:58:08-04:00A place to learn about math etymology?https://liberty.io/integer-coefficients-of-cubic-equation-imply-integer-roots.htmlBuzz Spill Dailyen2026-08-12T03:55:33-04:00Integer coefficients of cubic equation imply integer rootshttps://liberty.io/in-classical-geometry-why-is-a-line-considered-to-be-parallel-to-itsel.htmlBuzz Spill Dailyen2026-08-12T03:54:20-04:00In classical geometry why is a line considered to be parallel to itself? [duplicate]https://liberty.io/find-difference-between-a-positive-and-a-negative-number.htmlBuzz Spill Dailyen2026-08-12T03:47:31-04:00Find % difference between a positive and a negative numberhttps://liberty.io/prove-the-median-of-a-uniform-distributions-is-frac-1-2-a-b.htmlBuzz Spill Dailyen2026-08-12T03:33:43-04:00Prove the median of a uniform distributions is $\frac{1}{2}(a+b)$https://liberty.io/getting-a-hermite-polynomial-expansion-of-gaussian-with-given-variance.htmlBuzz Spill Dailyen2026-08-12T03:32:26-04:00Getting a Hermite polynomial expansion of Gaussian with given variance.https://liberty.io/parallelogram-constructed-through-medians.htmlBuzz Spill Dailyen2026-08-12T03:06:59-04:00Parallelogram constructed through medianshttps://liberty.io/what-is-the-practical-difference-between-a-differential-and-a-derivati.htmlBuzz Spill Dailyen2026-08-12T03:06:25-04:00What is the practical difference between a differential and a derivative?https://liberty.io/sum-of-perfect-cubes-formula-proof-without-induction-duplicate.htmlBuzz Spill Dailyen2026-08-12T03:03:40-04:00sum of perfect cubes formula proof without induction [duplicate]https://liberty.io/integral-of-d-2y-dx-2-dy.htmlBuzz Spill Dailyen2026-08-12T03:03:29-04:00Integral of $(d^2y/dx^2) dy$https://liberty.io/union-and-difference-of-convex-set.htmlBuzz Spill Dailyen2026-08-12T02:37:20-04:00union and difference of convex sethttps://liberty.io/integrate-e-2x-sin-x.htmlBuzz Spill Dailyen2026-08-12T02:31:59-04:00Integrate $e^{-2x}\sin(x)$https://liberty.io/how-to-prove-sum-frac-1-n-1-1-n-is-divergent.htmlBuzz Spill Dailyen2026-08-12T02:25:59-04:00how to prove $\sum {\frac{1}{n^{1+1/n}}}$ is divergenthttps://liberty.io/complex-analysis-trigonometric-conjugate.htmlBuzz Spill Dailyen2026-08-12T02:25:08-04:00Complex analysis - Trigonometric conjugatehttps://liberty.io/graph-of-negative-exponential-function.htmlBuzz Spill Dailyen2026-08-12T02:20:16-04:00Graph of negative exponential functionhttps://liberty.io/limit-approaching-infinity-of-sine-function.htmlBuzz Spill Dailyen2026-08-12T02:17:33-04:00Limit approaching infinity of sine functionhttps://liberty.io/what-039-s-an-isomorphism.htmlBuzz Spill Dailyen2026-08-12T02:13:33-04:00What&#039;s an Isomorphism?https://liberty.io/why-is-the-chain-rule-applied-to-derivatives-of-trigonometric-function.htmlBuzz Spill Dailyen2026-08-12T02:10:18-04:00Why is the chain rule applied to derivatives of trigonometric functions?https://liberty.io/reflexive-graph-meaning-of-the-reflection.htmlBuzz Spill Dailyen2026-08-12T01:57:46-04:00Reflexive graph, meaning of the reflectionhttps://liberty.io/leibniz-convergence-test.htmlBuzz Spill Dailyen2026-08-12T01:56:17-04:00Leibniz convergence testhttps://liberty.io/hadamard-039-s-inequality-proof.htmlBuzz Spill Dailyen2026-08-12T01:55:24-04:00Hadamard&#039;s inequality proofhttps://liberty.io/elliptical-version-of-pythagoras-theorem.htmlBuzz Spill Dailyen2026-08-12T01:52:00-04:00Elliptical version of Pythagoras’ Theorem?https://liberty.io/continuous-mapping-on-a-compact-metric-space-is-uniformly-continuous.htmlBuzz Spill Dailyen2026-08-12T01:49:58-04:00Continuous mapping on a compact metric space is uniformly continuoushttps://liberty.io/how-do-we-find-the-value-of-x-where-the-tangent-line-to-f-x-is-horizon.htmlBuzz Spill Dailyen2026-08-12T01:19:24-04:00How do we find the value of $x$ where the tangent line to $f(x)$ is horizontal?https://liberty.io/uniform-convergence-problem-of-sequences-of-functions.htmlBuzz Spill Dailyen2026-08-12T01:16:01-04:00Uniform convergence problem of sequences of functionshttps://liberty.io/algorithm-of-tree-partition.htmlBuzz Spill Dailyen2026-08-12T01:09:29-04:00Algorithm of tree partitionhttps://liberty.io/why-is-the-distance-between-two-circles-spheres-that-don-039-t-interse.htmlBuzz Spill Dailyen2026-08-12T01:09:25-04:00Why is the distance between two circles/spheres that don&#039;t intersect minimised at points that are in the line formed by their centers?https://liberty.io/why-are-the-two-probabilities-in-the-monty-hall-problem-dependent-on-e.htmlBuzz Spill Dailyen2026-08-12T00:50:25-04:00Why are the two probabilities in the Monty Hall problem dependent on each other?https://liberty.io/get-rid-of-the-square-roots-of-the-denominator-dfrac-1-sqrt-7-2-sqrt-5.htmlBuzz Spill Dailyen2026-08-12T00:47:41-04:00Get rid of the square roots of the denominator: $\dfrac{1}{\sqrt{7}-2\sqrt{5}+\sqrt{3}}$https://liberty.io/rudin-039-s-principles-of-mathematical-analysis-or-apostol-039-s-mathe.htmlBuzz Spill Dailyen2026-08-12T00:46:57-04:00Rudin&#039;s Principles of Mathematical Analysis or Apostol&#039;s Mathematical Analysis?https://liberty.io/diagonally-dominant-matrix-by-rows-and-or-by-columns.htmlBuzz Spill Dailyen2026-08-12T00:43:05-04:00Diagonally dominant matrix by rows and/or by columnshttps://liberty.io/what-does-p-to-q-mean-in-propositional-logic.htmlBuzz Spill Dailyen2026-08-12T00:38:04-04:00What does -p to -q mean in propositional logic?https://liberty.io/find-all-irreducible-monic-polynomials-in-mathbb-z-2-x-with-degree-equ.htmlBuzz Spill Dailyen2026-08-12T00:18:18-04:00Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5https://liberty.io/integrating-the-area-of-a-quarter-circle.htmlBuzz Spill Dailyen2026-08-12T00:16:12-04:00Integrating the area of a quarter-circlehttps://liberty.io/integrate-int-frac-1-sqrt-x-2-1-dx.htmlBuzz Spill Dailyen2026-08-12T00:15:16-04:00integrate $\int \frac{1}{\sqrt{x^2 - 1}} \, dx$https://liberty.io/compounded-interest-differential-equation.htmlBuzz Spill Dailyen2026-08-12T00:13:53-04:00Compounded Interest Differential Equation