Answer:
the value of f(5) is 26.672
Option (E) 26.672 is the correct answer
Step-by-step explanation:
Given that;
f(1) = 2 and f(x) = √( x³ + 6 )
f(5) = ?
f(5) = f(1) + ₁∫⁵ f'(x) dx
we substitute
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + 24.6719
f(5) = 26.672
Therefore the value of f(5) is 26.672
Option (E) 26.672 is the correct answer
The value of f(5) is 26.672
Given the following parameters
f(1) = 2
f(x) = √( x³ + 6 )
We need to calculate the value of f(5) as shown below
f(5) = f(1) + ₁∫⁵ f'(x) dx
Substitute the given parameters
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + ₁∫⁵ √( x³ + 6 ) dx
f(5) = 2 + 24.6719
f(5) = 26.672
Hence the value of f(5) from the solution is 26.672
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