c(x) is a function, then we will solve the problem for two different functions.
1. If [tex]c(x)=\frac{x}{0.5}+x[/tex]
Then
[tex]y=c(x)[/tex]
[tex]y=\frac{x}{0.5}+x[/tex]
Using each of the values for x we have.
When x=0 the result is: [tex]y=\frac{0}{0.5}+0=0[/tex]
When x=0.008 the result is: [tex]y=\frac{0.008}{0.5}+0.008=0.016+0.008=0.024[/tex]
When x=0.027 the result is: [tex]y=\frac{0.027}{0.5}+0.027=0.054+0.027=0.081[/tex]
When x=0.064 the result is: [tex]y=\frac{0.064}{0.5}+0.064=0.128+0.064=0.192[/tex]
When x=0.125 the result is: [tex]y=\frac{0.125}{0.5}+0.125=0.25+0.125=0.375[/tex]
When x=0.216 the result is: [tex]y=\frac{0.216}{0.5}+0.216=0.432+0.216=0.648[/tex]
When x=0.343 the result is: [tex]y=\frac{0.343}{0.5}+0.343=0.686+0.343=1.029[/tex]
When x=0.512 the result is: [tex]y=\frac{0.512}{0.5}+0.512=1.024+0.512=1.536[/tex]
When x=0.729 the result is: [tex]y=\frac{0.729}{0.5}+0.729=1.458+0.729=2.187[/tex]
When x=1 the result is: [tex]y=\frac{1}{0.5}+1=2+1=3[/tex]
2. If [tex]c(x)=sin(x)+2x[/tex]
Then
[tex]y=c(x)[/tex]
[tex]y=sin(x)+2x[/tex]
Using each of the values for x we have.
When x=0 the result is: [tex]y=sin(0)+2(0)=0[/tex]
When x=0.008 the result is: [tex]y=sin(0.008)+2(0.008)=0.000139+0.016=0.016139[/tex]
When x=0.027 the result is: [tex]y=sin(0.027)+2(0.027)=0.000471+0.054=0.054471[/tex]
When x=0.064 the result is: [tex]y=sin(0.064)+2(0.064)=0.001117+0.128=0.129117[/tex]
When x=0.125 the result is: [tex]y=sin(0.125)+2(0.125)=0.002182+0.25=0.252182[/tex]
When x=0.216 the result is: [tex]y=sin(0.216)+2(0.216)=0.003769+0.432=0.435769[/tex]
When x=0.343 the result is: [tex]y=sin(0.343)+2(0.343)=0.005986+0.686=0.691986[/tex]
When x=0.512 the result is: [tex]y=sin(0.512)+2(0.512)=0.008936+1.024=1.032936[/tex]
When x=0.729 the result is: [tex]y=sin(0.729)+2(0.729)=0.012723+1.458=1.470723[/tex]
When x=1 the result is: [tex]y=sin(1)+2(1)=0.017452+2=2.017452[/tex]
