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# Tutor profile: Benjamin H.

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Benjamin H.
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## Questions

### Subject:Basic Math

TutorMe
Question:

What is 2^2 + 3 * 2(8 + 4) - 6?

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Benjamin H.

2^2 + 3 * 2(8+4) - 6 2^2 + 3 * 2 * 12 - 6 4 + 3 * 2 * 12 - 6 4 + 6 * 12 - 6 4 + 72 - 6 76 - 6 70

### Subject:Calculus

TutorMe
Question:

f'(x) = 3x^2 - 6x + 4 f(4) = 24 Find f(x)

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Benjamin H.

f'(x) = 3x^2 - 6x + 4 f(x) = x^3 - 3x^2 + 4x + C f(4) = 24 = 4^3 - 3(4^2) +4(4) + C = 64 - 3(16) +16 + C = 64 - 48 + 16 + C = 32 + C 24 = 32 + C C = -8 f(x) = x^3 - 3x^2 + 4x - 8

### Subject:Algebra

TutorMe
Question:

Dave was twice as old as Joe 3 years ago. In 5 years Dave and Joe's age will add up to 52. How old are Dave and Joe.

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Benjamin H.

D - 3 = 2(J - 3) (D + 5) + (J + 5) = 52 D - 3 = 2J - 6 D + J + 10 = 52 D = 2J - 3 D + J = 42 D = 2J - 3 = 42 - J 3J = 45 J = Joe's Age = 15 D = 2(15) - 3 D = 30 - 3 D = Dave's Age = 27

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