最新の問題
直線 $x + my - 4 = 0$ が円 $x^2 + y^2 = 2$ に接するときの $m$ の値を求める問題です。
円直線接線点と直線の距離方程式
2025/3/11
The problem states that six kilograms of carrots cost $16.80. We need to find the approximate cost o...
Unit PriceDivisionRounding
2025/3/11
The air distance between London and Cairo is 3510 km. On a map, this distance is represented by 30 c...
RatioUnit ConversionProportion
2025/3/11
We are given a triangle $ABC$ with $C = 96.2^{\circ}$, $b = 11.2$ cm, and $c = 39.4$ cm. We are ask...
TrigonometryLaw of SinesTrianglesAngle CalculationSide Length Calculation
2025/3/11
家から1540m離れた図書館へ行くのに、最初は歩き、途中から走って13分で到着した。歩く速さは分速80m、走る速さは分速180mのとき、走った距離を求める。
連立方程式文章問題距離速さ時間
2025/3/11
2桁の正の整数がある。十の位の数の3倍と一の位の数の2倍の和は25である。また、十の位の数と一の位の数を入れ替えてできる数は、元の整数より45大きくなる。元の整数を求めなさい。選択肢は28, 54, ...
連立方程式文章問題整数
2025/3/11
Solve the first-order linear differential equation $y' - \cot(x)y = \tan(x)$.
Differential EquationsFirst-Order Linear Differential EquationIntegrating FactorCalculusTrigonometry
2025/3/11
We need to solve the second-order homogeneous linear differential equation $26y'' - 2y' + y = 0$.
Differential EquationsSecond-Order Differential EquationsHomogeneous Differential EquationsComplex RootsLinear Differential Equations
2025/3/11
We are asked to solve the second-order linear non-homogeneous differential equation: $y'' + y' = 4x ...
Differential EquationsSecond-Order Linear Differential EquationsHomogeneous EquationNon-homogeneous EquationCharacteristic EquationParticular SolutionGeneral Solution
2025/3/11
We are given a first-order differential equation $(x^2 + 4)y' + xy^2 + x = 0$ with the initial condi...
Differential EquationsFirst-Order Differential EquationsInitial Value ProblemIntegrationSeparable Equations
2025/3/11