AI Math Solver

Formulaec AI – AI Math Teacher for Problem Solving.

Formulaec is your personal AI teacher designed to guide students through complex problems with clarity and precision. Whether you’re working on algebra equations, physics principles, chemistry formulas, or economics calculations, Formulaec delivers verified formulas, step-by-step explanations, and practical examples tailored to your needs.

By simulating the teaching style of a patient, supportive teacher, Formulaec ensures you not only solve your problems but also understand the concepts behind them.

What Can Formulaec AI Do?

Formulaec specializes in solving problems in the following areas:

1. Mathematics: Algebra, geometry, calculus, and more.
2. Physics: Motion, forces, energy, and beyond.
3. Chemistry: Chemical equations, mole calculations, and periodic trends.
4. Economics: Supply-demand analysis, utility, and financial formulas.
5. Biology: Genetics, cell biology, and ecological principles.
6. Engineering: Structural analysis, thermodynamics, and design calculations.

How Formulaec Works

Using Formulaec is simple and intuitive:

1. Ask Your Question
   Enter your question or problem into the query box. For example:

   • “What is the formula to calculate the area of a circle?”
   • “How do I find the determinant of a matrix?”

2. Get a Verified Formula
   Formulaec identifies the most relevant formula or principle and explains how it applies to your question.

3. Step-by-Step Solution
   Watch as Formulaec provides clear, easy-to-follow steps, ensuring you understand each stage of the process.

4. Learn Through Examples
   Each solution includes an example or application to help you connect the concept to real-world problems.

5. Ask Follow-Up Questions
   Still confused? Formulaec is ready to clarify or guide you further.

How Formulaec AI Responds to Your Query

1. Mathematics

Problem: “What is the formula for the volume of a cylinder, and can you show me an example?”
Solution:
– Formula: Volume = πr²h, where \(r\) is the radius and \(h\) is the height.
– Example: For a cylinder with \(r = 3 \, \text{cm}\) and \(h = 5 \, \text{cm}\),
– Volume = \(π(3)^2(5) = 45π \, \text{cm}^3 = 141.37 \, \text{cm}^3\).

2. Physics

Problem: “What is the formula for force, and can you calculate it for a mass of 10 kg accelerating at 5 m/s²?”
Solution:
– Formula: Force = mass × acceleration.
– Calculation: \(10 \, \text{kg} \times 5 \, \text{m/s}^2 = 50 \, \text{N}.\)
Answer: The force is 50 Newtons.

3. Chemistry

Problem: “What is the formula to calculate moles, and can you find the moles in 18g of water (H₂O)?”
Solution:
– Formula: Moles = mass ÷ molar mass.
– Molar mass of water = \(2(1) + 16 = 18 \, \text{g/mol}\).
– Calculation: \(18 \, \text{g} ÷ 18 \, \text{g/mol} = 1 \, \text{mol}.\)
Answer: There is 1 mole of water in 18g.

4. Economics

Problem: “What is the formula for price elasticity of demand, and can you calculate it if the quantity demanded changes by 20% and price changes by 10%?”

Solution:
– Formula: Elasticity = % change in quantity ÷ % change in price.
– Calculation: \(20\% ÷ 10\% = 2.\)

Answer: The price elasticity of demand is 2, indicating it’s elastic.

5. Engineering

Problem: “What is the formula for stress, and can you calculate it for a force of 200N acting on an area of 10cm²?”
Solution:
– Formula: Stress = Force ÷ Area.
– Calculation: \(200 \, \text{N} ÷ 10 \, \text{cm}^2 = 20 \, \text{N/cm}^2.\)
Answer: The stress is 20 N/cm².