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andreyandreev [35.5K]

3 years ago

5

If f(1) = 13 and f '(x) ≥ 3 for 1 ≤ x ≤ 3, how small can f(3) possibly be?

1 answer:

tangare [24]3 years ago

6 0

Answer:

The answer to this question is 19.

Step-by-step explanation:

Given that :

f(x)=13.

f'(x)=3. 1 ≤ x ≤ 3.

Integrate

∫f'(x) dx=∫3 dx

f(x)=3x+c 1 ≤ x ≤ 3.

f(1)= 3+c

c=13-3 =10.

f(x)=3x+10 1 ≤ x ≤ 3.

now ,

f(3)=3(3)+10=19.

So f(3) is at least 19.

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