In each of the following cases, identify the value of c so that the function f is a probability density (f vanishes outside the range of values indicated below).

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(i) f(x)=3c 1, - (ii) f(x) = c(1-x), 2x5; 0x 1; cx (iii) f(x) = 1 < x < 3; 3' (iv) f(x) = ce-r (v) f(x)= 0 < x < 0; C 0