Grade 12 calculus/vectors. Design a problem based on a real life situation. Design an equation/problem for it and provide a solution to it. It needs to include at least 4 of the topics below:

• Rates of change
• Limits
• Continuity
• Derivatives and their applications
• Curve sketching and analysis
• Optimization problems
• Geometric and Cartesian vectors and their applications

The course introduced you to two new and separate mathematical branches, Calculus and Vectors, and their real world applications. Topics learned included: Rates of change Limits Continuity Derivatives and their applications Curve sketching and analysis Optimization problems Geometric and Cartesian vectors and their applications Your task is to identify a real-world problem, and incorporate at least 4 of the above topics in creating a problem and solution to the problem. Examples: Designing a roller coaster at an amusement park, medical procedures such as drug concentrations or homeostasis of hormones, physics-related problems such as position/speed/acceleration vs time, sound and light intensities, enzyme kinematics, heidi weinberg equilibrium, allele frequencies, SSRIs, rates of processes or reactions (metabolic or chemical), etc