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If f(y)=e^y,g(y)=y,y>0, and F(t)=int0^t...

If `f(y)=e^y,g(y)=y,y>0, and F(t)=int_0^t f(t-y)g(y) dy`, then

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Iff(y)=e^(y),g(y)>0, and F(t)=int_(0)^(t)t(t-y)dt, then F(t)=e^(t)-(1+t)F(t)=te^(t)F(t)=te^(-1)(d)F(t)=1-e^(t)(1+t)