Latihan pemecahan

  1. Selesaikan persamaan dosa ( cos ( x 2 ) − x ) − x = 0,5 untuk x . {0,0000,0,1328, 0,2098,0,3654,0,4217 }

MENJAWAB:

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
## 
## Attaching package: 'mosaicCalc'
## The following object is masked from 'package:stats':
## 
##     D
findZeros( sin(cos(x^2) - x) -x - 0.5 ~ x, xlim=range(-10,10))
##        x
## 1 0.2098
##        x
## 1 0.2098
  1. Temukan angka nol dari fungsi tersebut 3 e − t / 5 dosa ( 2 π 2 t ) yang berada di antara t = 1 dan t = 10 .
    1. Tidak ada nol dalam interval itu.}
    2. Tidak ada angka nol sama sekali!}
    3. \(2, 4, 6, 8\)}
    4. \(1, 3, 5, 7, 9\)}
    5. { 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 }

Jawab:

library(mosaicCalc)
findZeros( 3*exp(-t/5)*sin(pi*t) ~ t, xlim=range(1,10))
##    t
## 1  0
## 2  1
## 3  2
## 4  3
## 5  4
## 6  5
## 7  6
## 8  7
## 9  8
## 10 9
##    t
## 1  0
## 2  1
## 3  2
## 4  3
## 5  4
## 6  5
## 7  6
## 8  7
## 9  8
## 10 9

  1. Gunakan findZeros()untuk mencari nol dari setiap polinomial berikut:

    1. 3x2+7x−103x2+7x−10

    Dimana angka nolnya? sebuah.x=−3.33x=−3.33atau11 b.x=3.33x=3.33atau11 c. x=−3.33x=−3.33atau−1−1 d. x=3.33x=3.33atau−1−1 e. Tidak ada angka nol

jawab:

library(mosaicCalc)
findZeros( 3*x^2 + 7*x - 10 ~ x, xlim=range(-100,100))
##         x
## 1 -3.3334
## 2  1.0000
##         x
## 1 -3.3334
## 2  1.0000