Untuk memberikan gambaran tentang penggunaan bahasa pemrograman R dalam memvisualisasikan berbagai fungsi matematika. Fungsi-fungsi matematika ini direpresentasikan melalui persamaan matematika yang diplot menggunakan R. Melalui eksplorasi ini, pembaca diharapkan dapat memahami konsep-konsep kalkulus secara lebih konkret. Setiap blok kode R dan grafiknya dijelaskan di bawah ini.

library(mosaicCalc)
## Loading required package: mosaic
## Registered S3 method overwritten by 'mosaic':
##   method                           from   
##   fortify.SpatialPolygonsDataFrame ggplot2
## 
## The 'mosaic' package masks several functions from core packages in order to add 
## additional features.  The original behavior of these functions should not be affected by this.
## 
## Attaching package: 'mosaic'
## The following objects are masked from 'package:dplyr':
## 
##     count, do, tally
## The following object is masked from 'package:Matrix':
## 
##     mean
## The following object is masked from 'package:ggplot2':
## 
##     stat
## The following objects are masked from 'package:stats':
## 
##     binom.test, cor, cor.test, cov, fivenum, IQR, median, prop.test,
##     quantile, sd, t.test, var
## The following objects are masked from 'package:base':
## 
##     max, mean, min, prod, range, sample, sum
## Loading required package: mosaicCore
## 
## Attaching package: 'mosaicCore'
## The following objects are masked from 'package:dplyr':
## 
##     count, tally
## The legacy packages maptools, rgdal, and rgeos, underpinning the sp package,
## which was just loaded, will retire in October 2023.
## Please refer to R-spatial evolution reports for details, especially
## https://r-spatial.org/r/2023/05/15/evolution4.html.
## It may be desirable to make the sf package available;
## package maintainers should consider adding sf to Suggests:.
## The sp package is now running under evolution status 2
##      (status 2 uses the sf package in place of rgdal)
## 
## Attaching package: 'mosaicCalc'
## The following object is masked from 'package:stats':
## 
##     D
m = -3
b = -2

1.Grafik Fungsi Linier

slice_plot(m * x + b ~ x, domain(x = range(0, 10)))

Fungsi linier y = mx + b diplot, mewakili hubungan linier antara x dan y. Grafik ini membantu memvisualisasikan konsep garis lurus pada bidang kartesian.

2.Grafik Fungsi Kuadrat

A = 100
slice_plot(A * x ^ 2 ~ x, domain(x = range(-2, 3)), color="red")

Fungsi kuadrat y = Ax^2 diplot, menunjukkan bentuk parabola. Warna merah digunakan untuk membedakan plot dan memberikan fokus pada fungsi ini.

3.Grafik Fungsi Kosinus

A = 5
slice_plot(cos(t) ~ t, domain(t = range(0,4*pi)), color="green")

Fungsi kosinus y = cos(t) diplot, memvisualisasikan osilasi periodik. Warna hijau digunakan untuk membedakan plot dan menonjolkan fungsi kosinus.

4.Grafik Fungsi Kompleks

slice_plot(sqrt(t) * cos(5 * t) ~ t, domain(t = range(0, 5)))

Fungsi kompleks y = sqrt(t) * cos(5 * t) diplot, menggabungkan elemen akar kuadrat dan kosinus. Grafik ini memberikan ilustrasi fungsi matematika yang lebih kompleks.