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A function f(x) passes through the origin and its first derivative is 3x + 2....

Mathematics
JAMB 2000

A function f(x) passes through the origin and its first derivative is 3x + 2. What is f(x)?

  • A. y = \(\frac{3x^2}{2}\) + 2x
  • B. y = (3x2)/2 + x
  • C. y = 3x2 + (x/2)
  • D. y = 3x2 +2x
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Correct Answer: Option A
Explanation

Hints:
1. Integrate the given first derivative of f(x) at the boundaries, (0,0)

Then solve accordingly to get f(x) = y = \(\frac{3x^2}{2}\) + 2x

There is an explanation video available below.

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Explanation Video

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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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