IFoA Exam IFoA_CAA_M0 Topic 2 Question 63 Discussion

Actual exam question for IFoA's IFoA_CAA_M0 exam

Question #: 63
Topic #: 2

[All IFoA_CAA_M0 Questions]

Calculate the total area enclosed by the x-axis and the function below, between x =1.5 and x = 2.

f(x) = 2x3

A2.734

B5.469

C8.000

D10.938

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Suggested Answer: B

by Janna at Jun 23, 2024, 11:47 AM

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Tracey

5 months ago

Hold up, did someone say 'x-axis'? I thought this was a question about the Y-axis. *chuckles* Just kidding, just kidding. I know it's all about that integration, baby. Gotta be B) 5.469, for sure.

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Sylvia

5 months ago

Dude, this is like, totally a no-brainer. Just plug and chug, am I right? *laughs* I'm gonna go with C) 8.000. That's my final answer, Regis!

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Roselle

3 months ago

I think you're right, C) 8.000 seems like the correct answer.

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Richelle

3 months ago

Haha, good choice! Let's see if that's the right answer.

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Marisha

4 months ago

Yeah, just plug in the values and calculate the area.

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Sherrell

4 months ago

Definitely, it's a simple calculation. C) 8.000 it is.

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Han

4 months ago

I agree, C) 8.000 seems like the correct answer.

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Corazon

4 months ago

Yeah, just plug in the values and calculate.

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Lucina

4 months ago

I agree, C) 8.000 is the correct answer. Easy peasy.

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Della

4 months ago

Yeah, just plug in the values and calculate. C) 8.000 sounds right.

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Aja

5 months ago

I think I got the same answer when I calculated it. So, I also choose C) 8.000.

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Leandro

5 months ago

I believe the correct answer is C) 8.000 because we need to find the definite integral of the function.

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Tyisha

5 months ago

Hmm, I'm not sure about this one. Maybe I should review my calculus notes again. *scratches head* Oh wait, I think I remember now! The answer is D) 10.938. Yeah, that's gotta be it.

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Rima

4 months ago

Oh wait, I think I remember now! The answer is D) 10.938. Yeah, that's gotta be it.

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Laurene

5 months ago

I'm not sure about this one. Maybe I should review my calculus notes again. *scratches head*

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Golda

5 months ago

I got this! The integral of 2x^3 from 1.5 to 2 should give us the total area. *furiously scribbles on paper* Aha, the answer is B) 5.469. Easy peasy!

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Kate

5 months ago

I integrated the function and calculated the area under the curve.

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Margurite

5 months ago

How did you solve it?

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Harley

6 months ago

I agree, we can use integration to calculate it.

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Willard

6 months ago

I think we need to find the area under the curve.

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Audrie

6 months ago

Okay, let's think this through step-by-step. The function is f(x) = 2x^3, and we need to calculate the area between x = 1.5 and x = 2. That sounds like a classic integration problem!

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Cordie

5 months ago

Next, we evaluate the antiderivative at the limits of integration to find the area.

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Torie

5 months ago

Right, the antiderivative would be (1/4)x^4 + C.

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Isabelle

6 months ago

First, we need to find the antiderivative of the function f(x) = 2x^3.

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