Applied Mathematics

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

Problems in this category

We need to solve two problems: Question 4 and Question 5. Question 4 concerns the depreciation of a ...

Recurrence RelationsExponential DecayDepreciationModeling
2025/3/18

Lela invests $120,000 in a bank. The interest rate is 4.65% per annum, compounded monthly. a) Write ...

Compound InterestRecurrence RelationFinancial MathematicsExponential Growth
2025/3/18

The problem consists of two parts: First, find the location where the operating system, application ...

Unit ConversionData StorageComputer Science
2025/3/18

Convert 41 gigabytes to kilobytes. The question asks what is equal to 41 gigabytes in kilobytes.

Unit ConversionData StorageExponents
2025/3/18

The problem asks to convert 41 gigabytes to kilobytes. We need to find out how many kilobytes are eq...

Unit ConversionData StorageMetric System
2025/3/18

An object is projected with a velocity of $50$ m/s from the ground level at an angle $\theta$ to the...

Projectile MotionTrigonometryPhysicsKinematicsAngle of Projection
2025/3/18

The question asks to find the velocity of a particle at $t = 3$ seconds given its distance $s = t^3 ...

CalculusDifferentiationKinematicsVelocityPolynomials
2025/3/18

The problem provides pseudocode that assigns grades based on an average mark. The goal is to determi...

AlgorithmsConditional StatementsGrading SystemPseudocodeDecision Making
2025/3/17

The problem describes a pseudocode that assigns grades based on the average mark obtained. The pseud...

Grading SystemConditional LogicAlgorithmInequalities
2025/3/17

The problem asks for the output of a flowchart when the input number $n$ is 6. The flowchart first c...

FlowchartAlgorithmConditional StatementsInput/OutputArithmetic Operations
2025/3/17