Which of the Following Functions Y = F(x) Satisfy Y'= $\frac { 1 } { 2 }$

question 61

Multiple Choice

Which of the following functions y = f(x) satisfy y'= 32y, f (0) = $\frac { 1 } { 2 }$ ?
(I) y = 32 $e ^ { 1 / 2 x }$
(II) y = $\mathrm { e } ^ { 16 x }$
(III) y = $\frac { 1 } { 2 }$ $e ^ { 32 x }$ (IV) y = $\frac { 1 } { 2 }$ $x ^ { 32 }$

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

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