Design a grade 12 mathematics calculus real-world application questions include Rates of change, Limits, Continuity, Derivatives and their applications. The questions should have the same backgrounds!!! 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 kinetics, heidi weinberg equilibrium, allele frequencies, SSRIs, rates of processes or reactions (metabolic or chemical), etc. Please also give the solutions for the questions and explanation