Which of the Following Functions Y = F(x) Satisfy Y $\frac { 2 } { 3 }$

question 105

Multiple Choice

Which of the following functions y = f(x) satisfy y' = - $\frac { 2 } { 3 }$ y, f(1) = 1?
(I) y = $e ^ { x }$
(II) y = $e ^ { - 2 / 3 x }$
(III) y = $\mathrm { e } ^ { ( - 2 / 3 ) ( x - 1 ) }$ (IV) y = - $\frac { 2 } { 3 }$ $e ^ { x }$

• A) III only
• B) I and II
• C) IV only
• D) II only
• E) none of these

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Definitions:

Internship

A period of work experience offered by an organization for a limited period of time, often by students or trainees to gain practical knowledge in a particular field.

Gap

A disparity or difference between two points, measurements, or states.

Expectations

Beliefs or anticipate norms about future occurrences or behaviors, often serving as standards for judging performance or outcomes.

Reality

The state of things as they actually exist, as opposed to an idealistic or notional idea of them.