Chapter 4.1, Problem 25P

(a)

To determine

To show: That the function $f\left(t\right)=t^2\left|t\right|$, and $g\left(t\right)=t^3$ are linearly dependent on interval $0<t<1$ and on $-1<t<0$.

(b)

To determine

To show: That the function $f\left(t\right)=t^2\left|t\right|$, and $g\left(t\right)=t^3$ are linearly dependent on interval $-1<t<1$.

(c)

To determine

To show: That the value of $W\left(f,g\right)=0$, on interval $-1<t<1$.