Develop a function in R to plot a function curve based on mathematical equation provided as input, with different curve styles for each group, using ggplot2.

Write an R script to construct a box plot showcasing the distribution of a continuous variable, grouped by a categorical variable, using ggplot2’s fill aesthetic.

Implement an R program to create a histogram illustrating the distribution of a continuous variable, with overlays of density curves of each group, using ggplot2.

Develop a script in R to produce a bar graph displaying the frequency distribution of categorical data in a given dataset, grouped by a specific variable using ggplot2.

Implement an R function to generate a line graph depicting the trend of a time-series dataset, with separate lines for each group, utilizing ggplot2's group aesthetic

Write an R script to create a scatter lot, incorporating categorical analysis through color-coded data points representing different groups, using ggplot2.

Develop an R program to quickly explore a given dataset, including categorical analysis using the group_by command, and visualize the findings using ggplot2 features.