﻿ Calculus — Keep Talking and Nobody Explodes Module ## On the Subject of Calculus

Lets be honest. Calculus is stressful for everyone. What's new is that it's on a bomb, as if it couldn't get worse.

Calculus modules are broken into three parts:

• The Equation: This can have 2-3 monomials.
• The Answer Field: Answers can range from -9 to 9.
• The Input and Submit Buttons.

### Hidden Variables

Each equation given above can have 1-2 hidden variables. These variables can be found using information gathered from the side of the bomb, such as batteries, labels, and ports. Each possible variable is listed below.

• If the equation has the variables Z or B, replace them with the number of batteries on the bomb.
• If the equation has the variables F or R, replace them with the number of labels.
• If the equation has the variables M or K, replace them with the number of port panels, NOT the number of ports.

Additionally, if the two variables' sum is greater than 9, divide both variables by 2. If not a perfect divide, round down.

Example: 5 / 2 = 2.5. The new variable is 2.

### Types of Problems

There are two types of problems shown on a module: Finding Integrals and Finding Derivatives. To determine the type of problem, check the degree of the base equation and the answer equation.

• If the degree of the answer is bigger than the base equation, solve with integration.
• Otherwise find the derivative of the base equation.

### Entering an Answer

Enter an answer by changing the constant in front of the answer equation using the up and down arrows. If the constant should be a decimal, round it down. Finish by pressing the "Submit" button.

In case you've never taken a calculus class before, below is a basic description of how to solve each problem.

NOTE: The instructions below only apply if you combine all terms of the base equation after finding the hidden variables.

### How to Find Derivatives

Base Equation Example
Step 1 Prepare Equation: ax^b 5x^3
Step 2 Multiply Constant by Degree: (a*b)x^b 15x^3
Step 3 Decrease degree by one: (a*b)x^(b-1) 15x^2
Step 4 Repeat steps 1-3 for remaining monomials.

### How to Solve Integrals

Base Equation Example
Step 1 Prepare Equation: ax^b 6x^2
Step 2 Increase degree by one: ax^(b+1) 6x^3
Step 3 Divide by new degree: ax^(b+1) / (b+1) 2x^3
Step 4 Repeat steps 1-3 for remaining monomials.

Additionally, if you would like to check your answer, use it with the other type of problem and you should get the original base equation.

Example: 6x^2 undergoes integration to become 2x^3. When finding the derivative of 2x^3, it becomes 6x^2.