Algebra
Problems related to equations, functions, polynomials, etc.
Problems in this category
We are given three tables of values for three functions, $f(x)$, $g(x)$, and $h(x)$. We need to dete...
FunctionsFunction DefinitionDomain and Range
2025/7/3
The problem asks us to evaluate the function $f(x)$ at $x=4$ using the provided graph, and also to f...
Function EvaluationGraph Interpretation
2025/7/3
Given vectors $s = -i + 2j$, $t = 3i - j$, and $r = 2i + 5j$, we need to find expressions for: (a) $...
VectorsVector OperationsLinear Algebra
2025/7/2
Given vectors $s = -i + 2j$, $t = 3i - j$, and $r = 2i + 5j$, find: (a) $s+t$ (b) $r-s$ (c) $2t+r$
VectorsVector AdditionVector SubtractionScalar Multiplication
2025/7/2
The image contains a set of equations. The task is to solve each equation for the variable $a$. I wi...
EquationsSolving EquationsLinear EquationsVariable Isolation
2025/7/1
The problem consists of several equations. We need to solve for the variable $a$ in each equation. ...
Linear EquationsSolving Equations
2025/7/1
We are given the equation $C - a = E$ and are asked to solve for $a$.
Equation SolvingLinear EquationsVariable Isolation
2025/7/1
The problem is to solve the equation $C - a = E$ for $C$.
Equation SolvingLinear EquationsVariable Isolation
2025/7/1
The image presents a series of algebraic equations. I will solve problem number 41, which asks to so...
Linear EquationsSolving EquationsVariables
2025/7/1
We are given the function $y = a \sin \theta + b \cos \theta$ where $0 \le \theta < 2\pi$. The funct...
TrigonometryMaximum and Minimum ValuesTrigonometric FunctionsAmplitude and Phase Shift
2025/6/30