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Let f(x) be a continuous function such that f(1)=2 and f(x)= x^3+6 and What is the value of f(5)?(A) 11.446 (B) 13.446 (C) 15.446 (D) 24.672 (E) 26.672 fx x f5

Sagot :

Nuhulawal20idn

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

Abidemiokinidn

The value of f(5) is 26.672

Continuous functions and drivatives

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

Learn more on continuous function here: https://brainly.com/question/18102431

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