最新の問題

We are given a table of values for a function $f(x)$ and we want to estimate the value of $f(2)$. Th...

Numerical AnalysisInterpolationLinear InterpolationFunction Approximation
2025/3/6

The problem asks to graph the function $f(x) = x^3 - 4$.

Graphing FunctionsCubic FunctionsTransformationsVertical Translation
2025/3/6

The problem asks us to graph the function $g(x) = (x+4)^2$.

Quadratic FunctionsGraphingParabolaVertex Form
2025/3/6

We are asked to evaluate the infinite sum $\sum_{k=2}^\infty \left( \frac{3}{(k-1)^2} - \frac{3}{k^2...

Infinite SeriesTelescoping SeriesLimits
2025/3/6

The problem asks to identify the graph of the function $f(x) = x^2 + 5$.

Quadratic FunctionsParabolaGraphingVertex
2025/3/6

The problem asks to graph the function $g(x) = |x| - 8$.

Absolute Value FunctionsGraphingTransformations
2025/3/6

$n$ を 3 以上の自然数、$p$ と $q$ を実数とする。整式 $f(x) = x^n + px + q$ が $x^2 - 3x + 2$ で割り切れるとき、以下の問いに答える。 (1) $p...

方程式微分中間値の定理多項式剰余の定理
2025/3/6

The problem asks us to graph the function $f(x) = -4x - 3$.

Linear FunctionsGraphingSlope-intercept form
2025/3/6

The problem asks us to evaluate the infinite sum $\sum_{k=1}^{\infty} \frac{4^{k+1}}{7^{k-1}}$.

Infinite SeriesGeometric SeriesConvergence
2025/3/6

The problem is to find the sum of the infinite series $\sum_{k=1}^{\infty} (\frac{e}{\pi})^{k+1}$.

Infinite SeriesGeometric SeriesConvergence
2025/3/6