Question

If = , t > 0 then f$\left( \frac { 4 } { 25 } \right)$ =

• A. $\frac { 2 } { 5 }$
• B. $\frac { 5 } { 2 }$
• C. – $\frac { 2 } { 5 }$
• D. 1

Answer 1

Answer: (A)

$\frac { 2 } { 5 }$

Answer 2

By Nh. $\int _ { 0 } ^ { t ^ { 2 } } x f ( x ) d x$ = $\frac { 2 } { 5 }$t⁵

̃ 2t.t².f(t²) = $\frac { 2 } { 5 }$.5t⁴

̃ f(t²) = t ̃ f(4/25) = $\frac { 2 } { 5 }$ as t > 0