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2000

Mathematics

67ca00ce0c643c71d77dee1f

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

A.

y = (3x2/)2 + 2x

B.

y = (3x2)/2 + x

C.

y = 3x2 + (x/2)

D.

y = 3x2 +2x

Correct Answer: y = (3x2/)2 + 2x

Explanation

Hints: 1. Integrate the given first derivative of f(x) at the boundaries, (0,0) Then solve accordingly to get f(x) = y = (3x2/)2 + 2x

Hints: 1. Integrate the given first derivative of f(x) at the boundaries, (0,0) Then solve accordingly to get f(x) = y = (3x2/)2 + 2x
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