Answer:
f(10) or the power generated by the wind turbine at the wind speed of 10 m/s is 190.26 kW
Step-by-step explanation:
The given polynomial function is,
[tex]f(x) = 0.08x^3 + x^2 + x + 0.26[/tex]
where,
x represents the wind speed in meters per second,
y represents the kilowatts generated.
Putting x=10, we can get the value of f(10).
So,
[tex]=f(10)[/tex]
[tex]= 0.08(10)^3 + (10)^2 + (10) + 0.26[/tex]
[tex]= 0.08(1000) + (100) + (10) + 0.26[/tex]
[tex]= 80 + 100 + 10 + 0.26[/tex]
[tex]=190.26[/tex]
Therefore,at x=10 or when the wind speed is 10 m/s, then y or the power generated by the wind turbine will be 190.26 kW
Answer:
The power generated by wind turbine in [tex]10\;\rm{m/s}[/tex] is [tex]190.26\;\rm{kW}[/tex].
Step-by-step explanation:
Given: Suppose the polynomial function [tex]f(x)=0.08x^3+x^2+x+0.26[/tex] below represents the power generated by a wind turbine, where [tex]x[/tex] represents the wind speed in meters per second and [tex]y[/tex] represents the kilowatts generated.
As per question,
The power generated by a wind turbine is represented by polynomial function [tex]f(x)=0.08x^3+x^2+x+0.26[/tex].
For interpreteting the value of [tex]f(10)[/tex], substiuting the value of [tex]10[/tex] in place of [tex]x[/tex] in whole equation we get,
[tex]f(10)=0.08(10)^3+(10)^2+10+0.26\\f(10)=0.08\times1000+100+10+0.26\\f(10)=80+110+0.26\\f(10)=190.26 \; \rm{kW}[/tex]
Hence, the power generated by wind turbine in [tex]10\;\rm{m/s}[/tex] is [tex]190.26\;\rm{kW}[/tex].
Learn more about Polynomial function here:
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