最新の問題

Find the equation of the tangent line $g$ to the graph of the function $y = \tan x$ at the point $(\...

CalculusDifferentiationTangent LinesTrigonometry
2025/3/16

The problem asks to find the equation of the tangent line $g$ to the graph of the function $y = \tan...

CalculusDerivativesTangent LinesTrigonometry
2025/3/16

Given two vectors $\vec{a} = \vec{i} - \vec{j}$ and $\vec{b} = -\vec{i} + p\vec{j} + 2\vec{k}$ in $R...

VectorsVector ProjectionDot ProductMagnitude3D Geometry
2025/3/16

The problem asks us to find the equation of the exponential function represented by the given graph....

Exponential FunctionsSystems of EquationsAlgebraic ManipulationFunction Equations
2025/3/16

We are given a regular hexagon ABCDEF. We are given that $\vec{AB} = \vec{u}$ and $\vec{BC} = \vec{v...

VectorsHexagonGeometric VectorsVector AdditionRegular Polygon
2025/3/16

We are given a graph of an exponential function of the form $y = a + 2^{x+b}$. We need to find the e...

Exponential FunctionsEquation SolvingSubstitutionCoordinate Geometry
2025/3/16

We are given a regular hexagon ABCDEF. We are given that $\overrightarrow{AB} = \vec{u}$ and $\overr...

VectorsGeometryHexagon
2025/3/16

The problem states that the line $g$ is tangent to the graph of the function $y = \tan x$ at the poi...

CalculusDerivativesTangent LinesTrigonometryDifferentiation
2025/3/16

A water tank is completely filled. $\frac{1}{10}$ of the water is used for the garden and $\frac{1}{...

FractionsWord ProblemPercentageProblem Solving
2025/3/16

与えられた式 $ab - bc - a^2c + 2ac^2 - c^3$ を、最低次の文字について整理し、因数分解せよ。

因数分解多項式式の整理
2025/3/16