Applied Mathematics

Problems related to numerical analysis, optimization, mathematical modeling, etc.

Problems in this category

The problem asks us to calculate the number of website visits per hour between 13:30 and 19:45, give...

Rate of ChangeWord ProblemTime CalculationDivision
2025/4/22

The problem asks us to determine the time a file download will finish, given the file size, download...

RateTimeUnits ConversionWord Problem
2025/4/22

The problem asks us to find the velocity of a cheetah between 5 and 15 seconds, given a distance-tim...

VelocityDistance-Time GraphKinematicsCalculus Concepts
2025/4/22

The problem asks for the velocity of a cheetah between 5 seconds and 15 seconds, given a distance-ti...

VelocityDistance-Time GraphPhysicsCalculations
2025/4/22

The problem provides a distance-time graph for Andy and Tom's canoeing race. We need to determine ho...

Distance-Time GraphsRate of ChangeProblem SolvingTime Calculation
2025/4/22

The problem describes an ice hockey player hitting a puck at a wall. The puck rebounds and comes to ...

Distance-Time GraphMotionProblem Solving
2025/4/22

The problem asks us to determine how much longer it took Tom to canoe the first 10 km of a race than...

Distance-Time GraphRateProblem SolvingData Interpretation
2025/4/22

The problem describes a distance-time graph of Robyn's journey on her motorbike. The question asks t...

DistanceTimeGraphsMotionWord Problem
2025/4/22

The distance-time graph shows Michael's journey to a shop and back again. The question is: How far i...

Distance-Time GraphInterpreting GraphsWord Problem
2025/4/22

Solve the differential equation $(D^2 + 9)y = \cos^3x$.

Differential EquationsOrdinary Differential EquationsSecond Order ODEHomogeneous EquationsParticular IntegralTrigonometric Functions
2025/4/22