Exercise4.1 if INCLUDEPICTURE "https://s0.wp.com/latex.php?latex=%5Cmu&bg=ffffff&fg=555555&s=2" \* MERGEFORMATINET

(x) = , a positive constant, for all x> 0 , show that x = /( + )4.2 Let (x) = 1/ ( 1 + x), For All x > 0.

a. Integrate by parts to show that

= 1 .4.14 if lx = 100 x for 0 x 100 and i = 0.05, evaluate :a. A40:5 4.15 if Ax = 0.25, Ax + 20 = 0.40 , and Ax:20 = 0.55, calculate :a. Ax: 20b. Ax:20Penyelesaian :4.14

A40:5 = A40:5 + A40:5 (Asuransi Dwiguna)Akan ditentukan

A40:5 =

= 0P40 . + V1+1 1P40 . + V2+1 2P40 + V3+1 3P40 + V4+1 4P40

= 0P40 . + V2 1P40 . + V3 2P40 + V4 3P40 + V5 4P40

Dimana :V =

A40:5 = 0.9524.1. + (0.9524). .+ (

EMBED Equation.3 ..+..

+ ..

= 0.9524. + (0.9524). + (

EMBED Equation.3 . +. + .

= (0.9524 + (0.9524)+ (

EMBED Equation.3 ++) = (0.9524 + 0.9071+ 0.8639 + 0.8227 + 0.7836)

= (4.3297)

= 0.0722

A40:5 =

A40:5 = 0.072 + 0.7183 = 0.7903

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