最新の問題
The problem asks to evaluate the infinite sum $\sum_{k=2}^{\infty} \left( \frac{3}{(k-1)^2} - \frac{...
Infinite SeriesTelescoping SeriesLimits
2025/3/6
The problem gives the equation $y = \frac{7}{\sqrt{x}} - 70$. We need to find the value of $y$ when ...
Numerical CalculationApproximationScientific Notation
2025/3/6
異なる実数 $a, b$ に対して、2つの3次曲線 $C_1: y = x^3 + ax^2 + bx$ と $C_2: y = x^3 + bx^2 + ax$ が与えられています。$C_1$ と ...
積分面積3次関数不等式グラフ
2025/3/6
$xy$平面上に点 $P_1(0,0)$, $Q_1(a,0)$, $R_1(b,c)$ が与えられている。線分 $Q_1R_1$ の中点を $P_2$, $R_1P_1$ の中点を $Q_2$, $...
平面幾何ベクトル数列極限
2025/3/6
We need to evaluate the infinite sum $\sum_{k=2}^{\infty} \left( \frac{3}{(k-1)^2} - \frac{3}{k^2} \...
Infinite SeriesTelescoping SeriesLimitSummation
2025/3/6
The problem asks us to find the x-intercept and y-intercept of the equation $-4x - 3y = 6$, and then...
Linear EquationsX-interceptY-interceptGraphing
2025/3/6
The problem asks to simplify the equation $-2x - 5y = 5$, find the x-intercept and y-intercept, and ...
Linear EquationsX-interceptY-interceptGraphing
2025/3/6
The problem states that a baseball is thrown vertically upward with a velocity $V$ (in feet per seco...
KinematicsVelocityLinear EquationsPhysics
2025/3/6
The problem asks to simplify the inequality $-10x \le -25$.
InequalitiesLinear InequalitiesSolving Inequalities
2025/3/6
半径 $6378 \text{ km}$ の地球上の2点 $P(\frac{\sqrt{3}}{4}, \frac{3}{4}, \frac{1}{2})$ と $Q(-\frac{1}{4}, \f...
球面幾何学弧長内積三角関数地球
2025/3/6