https://liberty.io/finding-all-solutions-to-tan-5x-9-tan-x-0.htmlBuzz Spill Dailyen2026-08-17T10:22:35-04:00Finding all solutions to $ \tan^5x - 9\tan{x} = 0 $https://liberty.io/when-to-use-total-probability-rule-and-bayes-039-theorem.htmlBuzz Spill Dailyen2026-08-17T10:11:41-04:00When to use Total Probability Rule and Bayes' Theorem.https://liberty.io/prove-casting-out-nines-of-an-integer-is-equivalent-to-that-integer-mo.htmlBuzz Spill Dailyen2026-08-17T09:54:10-04:00Prove "casting out nines" of an integer is equivalent to that integer modulo 9https://liberty.io/is-my-general-formula-for-polynomial-multiplication-right.htmlBuzz Spill Dailyen2026-08-17T09:51:53-04:00Is my general formula for polynomial multiplication right?https://liberty.io/use-the-alternative-form-of-the-derivative-to-find-the-derivative-at-x.htmlBuzz Spill Dailyen2026-08-17T09:47:59-04:00Use the alternative form of the derivative to find the derivative at $x=c$ if $f(x)=x^3+4x, \ c=2$https://liberty.io/a-matrix-to-the-power-of-zero-gives-identity-matrix-even-if-it-doesn-0.htmlBuzz Spill Dailyen2026-08-17T09:41:11-04:00A matrix to the power of zero gives identity matrix even if it doesn't have an inverse?https://liberty.io/magnitude-and-direction-of-a-vector-5-6.htmlBuzz Spill Dailyen2026-08-17T09:38:03-04:00Magnitude and direction of a vector (-5,6)https://liberty.io/when-do-you-use-the-quadratic-formula.htmlBuzz Spill Dailyen2026-08-17T09:36:13-04:00When do you use the quadratic formula?https://liberty.io/how-to-find-lim-limits-x-to-0-frac-sin4x-sin2x.htmlBuzz Spill Dailyen2026-08-17T09:30:59-04:00How to find $\lim\limits_{x \to 0}\frac{\sin4x}{\sin2x}$?https://liberty.io/deriving-second-order-transfer-function-from-spring-mass-damper-system.htmlBuzz Spill Dailyen2026-08-17T09:26:27-04:00deriving second order transfer function from spring mass damper system..https://liberty.io/degeneracy-in-simplex-algorithm.htmlBuzz Spill Dailyen2026-08-17T09:16:04-04:00Degeneracy in Simplex Algorithmhttps://liberty.io/find-corresponding-number-in-a-range-by-index.htmlBuzz Spill Dailyen2026-08-17T09:15:43-04:00find corresponding number in a range by indexhttps://liberty.io/least-common-multiple-in-euclidean-algorithm.htmlBuzz Spill Dailyen2026-08-17T09:09:41-04:00Least common multiple in Euclidean algorithmhttps://liberty.io/how-do-you-integrate-e-x-2.htmlBuzz Spill Dailyen2026-08-17T09:09:03-04:00How do you integrate $e^{x^2}$?https://liberty.io/prove-using-rolle-039-s-theorem-that-an-equation-has-exactly-one-real-.htmlBuzz Spill Dailyen2026-08-17T09:08:18-04:00Prove using Rolle's Theorem that an equation has exactly one real solution.https://liberty.io/cauchy-binet-formula-proof-intuition-determinants.htmlBuzz Spill Dailyen2026-08-17T09:06:24-04:00Cauchy-Binet Formula Proof Intuition (Determinants)https://liberty.io/why-is-the-berry-paradox-a-paradox-at-all.htmlBuzz Spill Dailyen2026-08-17T09:05:05-04:00Why is the Berry Paradox a paradox at all?https://liberty.io/express-in-interval-notation-where-f-is-differentiable-graph.htmlBuzz Spill Dailyen2026-08-17T09:04:13-04:00Express in interval notation where f is differentiable (graph)https://liberty.io/number-of-positive-real-roots-in-equation-x-6-x-1-0-closed.htmlBuzz Spill Dailyen2026-08-17T09:01:08-04:00Number of positive real roots in equation $x^6 - x - 1 =0$ [closed]https://liberty.io/finding-the-gcd-of-three-numbers.htmlBuzz Spill Dailyen2026-08-17T08:58:12-04:00Finding the GCD of three numbers?https://liberty.io/finding-eigenvalues-of-block-2x2-matrix.htmlBuzz Spill Dailyen2026-08-17T08:57:01-04:00Finding eigenvalues of block 2x2 matrixhttps://liberty.io/word-problem-involving-time-and-square-meters.htmlBuzz Spill Dailyen2026-08-17T08:55:39-04:00word problem involving time, and square metershttps://liberty.io/finding-an-expression-for-the-general-term-of-a-taylor-series.htmlBuzz Spill Dailyen2026-08-17T08:43:07-04:00Finding an expression for the general term of a taylor serieshttps://liberty.io/show-the-function-is-decreasing-in-an-interval.htmlBuzz Spill Dailyen2026-08-17T08:42:43-04:00Show the function is decreasing in an intervalhttps://liberty.io/calculate-limit-of-sequence-a-n-1-3-1-a-n.htmlBuzz Spill Dailyen2026-08-17T08:35:21-04:00Calculate limit of sequence $a_{n+1} = 3-1/a_n$https://liberty.io/limit-of-the-geometric-sequence.htmlBuzz Spill Dailyen2026-08-17T08:27:36-04:00Limit of the geometric sequencehttps://liberty.io/calculate-regular-or-equilateral-triangle-altitude-with-radius-only-po.htmlBuzz Spill Dailyen2026-08-17T08:23:48-04:00Calculate regular or equilateral triangle altitude with radius only possible?https://liberty.io/can-a-sum-of-a-finite-number-of-exponentially-growing-numbers-be-calcu.htmlBuzz Spill Dailyen2026-08-17T08:20:04-04:00Can a sum of a finite number of exponentially growing numbers be calculated as a function of the growth rate and the number of growths?https://liberty.io/idempotent-matrix.htmlBuzz Spill Dailyen2026-08-17T08:19:56-04:00Idempotent matrixhttps://liberty.io/how-to-find-the-area-of-a-quarter-circle-given-only-the-perimeter-of-a.htmlBuzz Spill Dailyen2026-08-17T08:01:06-04:00How to find the area of a quarter circle given only the perimeter of a quarter circle?https://liberty.io/how-to-find-the-value-of-this-summation-equation.htmlBuzz Spill Dailyen2026-08-17T07:50:59-04:00How to find the value of this summation equation?https://liberty.io/shadow-prices-in-linear-programming.htmlBuzz Spill Dailyen2026-08-17T07:49:05-04:00Shadow prices in linear programminghttps://liberty.io/finding-the-span-of-3-vectors.htmlBuzz Spill Dailyen2026-08-17T07:46:55-04:00Finding the span of 3 vectorshttps://liberty.io/inverse-of-the-curl.htmlBuzz Spill Dailyen2026-08-17T07:42:37-04:00Inverse of the curlhttps://liberty.io/equation-of-hyperbola-with-eccentricity-frac32.htmlBuzz Spill Dailyen2026-08-17T07:40:12-04:00Equation of hyperbola with eccentricity $\frac32$https://liberty.io/how-to-estimate-a-definite-integral-using-taylor-series.htmlBuzz Spill Dailyen2026-08-17T07:27:43-04:00How to estimate a definite integral using Taylor serieshttps://liberty.io/distribution-and-absolute-value.htmlBuzz Spill Dailyen2026-08-17T07:17:00-04:00Distribution and Absolute Valuehttps://liberty.io/what-is-the-definition-of-a-relation.htmlBuzz Spill Dailyen2026-08-17T07:10:47-04:00What is the definition of a relation?https://liberty.io/should-we-use-parentheses-or-brackets-around-functions.htmlBuzz Spill Dailyen2026-08-17T07:09:44-04:00Should we use parentheses or brackets around functions?https://liberty.io/weak-convergence-of-product-of-weakly-and-strongly-convergent-l-2-sequ.htmlBuzz Spill Dailyen2026-08-17T06:55:50-04:00weak convergence of product of weakly and strongly convergent $L^{2}$ sequences in $L^{2}$https://liberty.io/help-with-converting-the-derivative-of-cos-3-x.htmlBuzz Spill Dailyen2026-08-17T06:44:55-04:00Help with converting the derivative of $\cos^3(x)$https://liberty.io/linear-algebra-notation-a-dagger.htmlBuzz Spill Dailyen2026-08-17T06:38:18-04:00Linear Algebra notation: A-Daggerhttps://liberty.io/projecting-a-surface-segment-of-a-cone-onto-a-2d-plane.htmlBuzz Spill Dailyen2026-08-17T06:32:29-04:00Projecting a surface segment of a cone onto a 2D plane?https://liberty.io/extensions-and-kazhdan-039-s-property-t.htmlBuzz Spill Dailyen2026-08-17T06:27:57-04:00Extensions and Kazhdan's Property (T)https://liberty.io/the-langlands-program-for-beginners.htmlBuzz Spill Dailyen2026-08-17T06:10:34-04:00The Langlands program for beginnershttps://liberty.io/proof-for-combination-formula-n-choose-k.htmlBuzz Spill Dailyen2026-08-17T06:03:03-04:00Proof For Combination Formula: N choose Khttps://liberty.io/understanding-the-ideal-generated-by-a-polynomial.htmlBuzz Spill Dailyen2026-08-17T06:00:50-04:00Understanding the ideal generated by a polynomialhttps://liberty.io/finding-the-inverse-of-a-number-under-a-certain-modulus.htmlBuzz Spill Dailyen2026-08-17T05:49:54-04:00Finding the inverse of a number under a certain modulushttps://liberty.io/rational-numbers.htmlBuzz Spill Dailyen2026-08-17T05:43:10-04:00Rational numbershttps://liberty.io/what-is-the-integral-of-e-cos-x.htmlBuzz Spill Dailyen2026-08-17T05:28:54-04:00What is the integral of $e^{\cos x}$https://liberty.io/pontryagin-classes-of-a-product-manifold.htmlBuzz Spill Dailyen2026-08-17T05:21:37-04:00Pontryagin classes of a product manifoldhttps://liberty.io/the-hat-function-closed.htmlBuzz Spill Dailyen2026-08-17T05:12:40-04:00The hat function [closed]https://liberty.io/finding-the-scale-factor-and-rotation-angle-of-a-matrix.htmlBuzz Spill Dailyen2026-08-17T05:09:06-04:00Finding the scale factor and rotation angle of a matrixhttps://liberty.io/calculate-the-value-of-x-y-and-z-coordinates.htmlBuzz Spill Dailyen2026-08-17T04:44:00-04:00Calculate the value of x, y and z coordinateshttps://liberty.io/how-to-solve-ln-e-2.htmlBuzz Spill Dailyen2026-08-17T04:33:12-04:00How to solve $(\ln e)^2$https://liberty.io/why-was-o-gabber-not-an-author-of-the-1983-039-s-faisceaux-pervers.htmlBuzz Spill Dailyen2026-08-17T04:19:44-04:00Why was O. Gabber not an author of the 1983's Faisceaux Pervers?https://liberty.io/b-splines-of-degree-1-2-and-3.htmlBuzz Spill Dailyen2026-08-17T04:04:18-04:00B-Splines of degree 1, 2 and 3https://liberty.io/finding-delta-algebraically-for-a-given-epsilon.htmlBuzz Spill Dailyen2026-08-17T04:01:57-04:00Finding Delta Algebraically for a Given Epsilon?https://liberty.io/square-with-perpendicular-lines-drawn-prove-that-they-are-equal.htmlBuzz Spill Dailyen2026-08-17T04:01:51-04:00Square with perpendicular lines drawn, prove that they are equal.https://liberty.io/verification-of-stokes-039-theorem-for-a-paraboloid-and-a-given-field.htmlBuzz Spill Dailyen2026-08-17T03:56:50-04:00Verification of Stokes' Theorem for a paraboloid and a given fieldhttps://liberty.io/technique-for-simplifying-e-g-sqrt-8-4-sqrt-3-to-sqrt-6-sqrt-2.htmlBuzz Spill Dailyen2026-08-17T03:53:27-04:00Technique for simplifying, e.g. $\sqrt{ 8 - 4\sqrt{3}}$ to $\sqrt{6} - \sqrt{2}$https://liberty.io/how-do-i-simplify-a-fraction-with-a-square-root-on-the-numerator-close.htmlBuzz Spill Dailyen2026-08-17T03:44:39-04:00How do I simplify a fraction with a square root on the numerator? [closed]https://liberty.io/sum-of-the-series-sum-n-1-infty-n-2e-n.htmlBuzz Spill Dailyen2026-08-17T03:42:53-04:00Sum of the series $\sum_{n=1}^\infty n^2e^{-n}$https://liberty.io/show-that-9-5-sqrt-3-2-sqrt-2-is-not-a-square-in-mathbb-q-sqrt-2-sqrt-.htmlBuzz Spill Dailyen2026-08-17T03:41:00-04:00Show that $(9-5\sqrt 3)(2-\sqrt 2) $ is not a square in $\mathbb Q (\sqrt 2, \sqrt 3) $https://liberty.io/find-a-system-of-linear-equations-for-the-given-solution-set.htmlBuzz Spill Dailyen2026-08-17T03:39:22-04:00Find a system of linear equations for the given solution sethttps://liberty.io/what-039-s-the-difference-between-direction-sense-and-orientation.htmlBuzz Spill Dailyen2026-08-17T03:24:52-04:00What's the difference between direction, sense, and orientation?https://liberty.io/evaluate-the-integral-int-cot-x-cos-x-dx.htmlBuzz Spill Dailyen2026-08-17T03:18:17-04:00Evaluate the integral $\int \cot(x) \cos(x) \ dx$https://liberty.io/expectation-and-variance-of-the-pareto-distribution.htmlBuzz Spill Dailyen2026-08-17T03:15:25-04:00Expectation and variance of the Pareto distributionhttps://liberty.io/how-to-solve-x-2-ln-x-0.htmlBuzz Spill Dailyen2026-08-17T03:14:36-04:00How to solve $x^2 + \ln(x) = 0$https://liberty.io/help-finding-coordinates-of-centre-and-radius-of-circle.htmlBuzz Spill Dailyen2026-08-17T02:54:33-04:00Help finding coordinates of centre and radius of circlehttps://liberty.io/create-context-free-grammar-for-w-mid-w-is-odd-with-a-0-in-the-middle.htmlBuzz Spill Dailyen2026-08-17T02:47:11-04:00Create context-free grammar for $\{w \mid |w| $ is odd with a 0 in the middle$\}$https://liberty.io/to-prove-cayley-hamilton-theorem-why-can-039-t-we-substitute-a-for-lam.htmlBuzz Spill Dailyen2026-08-17T02:41:39-04:00To prove Cayley-Hamilton theorem, why can't we substitute $A$ for $\lambda$ in $p(\lambda) = \det(\lambda I - A)$?https://liberty.io/find-the-second-derivative-d-2-y-over-d-x-2-in-terms-of-t-when-x-3-2-t.htmlBuzz Spill Dailyen2026-08-17T02:40:18-04:00Find the second derivative ${{{d^2}y} \over {d{x^2}}}$ in terms of t when $x = 3 - 2{t^2}$ and $y = {1 \over t}$https://liberty.io/expansion-of-cube-of-four-terms-closed.htmlBuzz Spill Dailyen2026-08-17T02:36:46-04:00Expansion of cube of four terms [closed]https://liberty.io/inverse-of-a-singular-matrix.htmlBuzz Spill Dailyen2026-08-17T02:36:04-04:00Inverse of a singular Matrixhttps://liberty.io/why-are-representations-of-quivers-such-a-big-deal.htmlBuzz Spill Dailyen2026-08-17T02:24:57-04:00Why are (representations of ) quivers such a big deal?https://liberty.io/how-to-solve-an-equation-of-the-form-ax-2-by-2-cx-dy-e-0.htmlBuzz Spill Dailyen2026-08-17T02:24:31-04:00How to solve an equation of the form $ax^2 - by^2 + cx - dy + e =0$?https://liberty.io/mathematics-behind-this-card-trick.htmlBuzz Spill Dailyen2026-08-17T02:04:55-04:00Mathematics behind this card trickhttps://liberty.io/converting-an-expression-to-a-trigonometric-form.htmlBuzz Spill Dailyen2026-08-17T02:00:27-04:00Converting an expression to a trigonometric formhttps://liberty.io/why-does-it-matter-if-a-graph-is-a-function.htmlBuzz Spill Dailyen2026-08-17T01:52:22-04:00Why does it matter if a graph is a function?https://liberty.io/for-real-numbers-a-and-b-when-is-the-equation-a-b-a-b-true.htmlBuzz Spill Dailyen2026-08-17T01:41:11-04:00For real numbers a and b, when is the equation |a + b| = |a – b| true?https://liberty.io/terminology-facet-versus-face-in-polytope.htmlBuzz Spill Dailyen2026-08-17T01:36:08-04:00Terminology: facet versus face in polytopehttps://liberty.io/how-to-change-integral-bounds.htmlBuzz Spill Dailyen2026-08-17T01:35:48-04:00How to change integral bounds?https://liberty.io/solving-a-logarithmic-equation-log-2-2-x-1-x-log-4-144.htmlBuzz Spill Dailyen2026-08-17T01:22:56-04:00Solving a logarithmic equation $\log_2 (2^x-1)+x=\log_4 (144)$https://liberty.io/trichotomy-implies-totality-of-partial-order.htmlBuzz Spill Dailyen2026-08-17T01:21:17-04:00Trichotomy implies totality of partial orderhttps://liberty.io/prove-the-randomness-of-elements-in-list.htmlBuzz Spill Dailyen2026-08-17T01:18:48-04:00Prove the randomness of elements in listhttps://liberty.io/definition-of-an-ordered-field.htmlBuzz Spill Dailyen2026-08-17T01:00:02-04:00Definition of an Ordered Fieldhttps://liberty.io/smallest-possible-dimensions-of-a-piece-of-paper-after-one-fold.htmlBuzz Spill Dailyen2026-08-17T00:56:08-04:00Smallest possible dimensions of a piece of paper after one fold.https://liberty.io/how-to-express-a-sum-of-two-series-in-terms-of-known-sums-closed.htmlBuzz Spill Dailyen2026-08-17T00:35:20-04:00How to express a sum of two series in terms of known sums? [closed]https://liberty.io/multiplying-radicals-by-variables.htmlBuzz Spill Dailyen2026-08-17T00:30:17-04:00Multiplying radicals by variableshttps://liberty.io/you-roll-a-6-sided-die-what-is-p-6-or-even-simplified-your-answer-and-.htmlBuzz Spill Dailyen2026-08-17T00:30:12-04:00You roll a 6 sided die what is p(6 or even)? Simplified your answer and write it as a fraction or whole number. We NEED answers for IXL! [closed]https://liberty.io/what-is-the-difference-between-continuous-derivative-and-derivative.htmlBuzz Spill Dailyen2026-08-17T00:27:22-04:00What is the difference between continuous derivative and derivative?https://liberty.io/division-of-a-convex-shape-results-in-a-convex-shape.htmlBuzz Spill Dailyen2026-08-17T00:24:37-04:00Division of a Convex Shape results in a Convex Shapehttps://liberty.io/eigenvalues-for-4-times-4-matrix.htmlBuzz Spill Dailyen2026-08-17T00:21:21-04:00Eigenvalues for $4\times 4$ matrixhttps://liberty.io/finding-center-of-circle.htmlBuzz Spill Dailyen2026-08-17T00:12:03-04:00finding center of circlehttps://liberty.io/what-does-it-mean-to-solve-a-math-problem-analytically.htmlBuzz Spill Dailyen2026-08-17T00:04:16-04:00What does it mean to solve a math problem analytically?https://liberty.io/does-l-039-hopitals-rule-hold-for-second-derivative-third-derivative-e.htmlBuzz Spill Dailyen2026-08-17T00:03:35-04:00Does L'Hopitals Rule hold for second derivative, third derivative, etc...?https://liberty.io/how-do-i-simplify-nested-summations-also-how-does-it-work-like-a-loop.htmlBuzz Spill Dailyen2026-08-16T23:54:37-04:00How do I simplify nested summations? Also how does it work? Like a loop?https://liberty.io/how-to-prove-tan-a-sec-a-frac-1-sec-a-tan-a.htmlBuzz Spill Dailyen2026-08-16T23:39:58-04:00how to prove $\tan A+\sec A=\frac{1}{(\sec A-\tan A)}$?https://liberty.io/the-area-of-a-truncated-pyramid-with-irregular-top-and-bottom-surface-.htmlBuzz Spill Dailyen2026-08-16T23:36:36-04:00The area of a truncated pyramid with irregular top and bottom surface, given the height $h$