2+3 5 23 2 3 2. 3 0.666667 Sqrt@3D 3 [email protected] 1.73205 2 ^ H1 3L 213 2. ^ H1 3L 1.25992 x=2 2 y = 2; y 2 x =. 2 x x Expand@Hx + 1L Hx + 1LD 1 + 2 x + x2 Factor@x ^ 2 - 2 x + 1D H-1 + xL2 Abs@-2D 2 ArcSin@1D Π 2 2 Lab1_1.nb [email protected] 2.30259 Log@10, 10 000D 4 x := 1 x 1 x =. f := Hx ^ 2 - 2 x + 1L Hx - 1L f 1 - 2 x + x2 -1 + x Simplify@%D -1 + x Simplify@fD -1 + x Simplify@Sin@xD ^ 2 + Cos@xD ^ 2D 1 Simplify@Sec@xD ^ 2 + Csc@xD ^ 2D 4 Csc@2 xD2 FullSimplify@Sec@xD ^ 2 + Csc@xD ^ 2D 4 Csc@2 xD2 TrigExpand@Sin@2 xDD 2 Cos@xD Sin@xD F := Sin@xD; Lab1_1.nb Plot@F, 8x, -Pi, Pi<D 1.0 0.5 -3 -2 -1 1 2 3 1 2 3 1 2 3 -0.5 -1.0 G := Cos@xD; Plot@8F, G<, 8x, -Pi, Pi<D 1.0 0.5 -3 -2 -1 -0.5 -1.0 Plot@F G, 8x, -Pi, Pi<D 6 4 2 -3 -2 -1 -2 -4 -6 3 4 Lab1_1.nb Plot3D@Sin@2 * xD + Cos@2 yD, 8x, -Pi, Pi<, 8y, -Pi, Pi<D 2 1 0 -1 2 -2 -2 0 0 -2 2 Export@"Fig3D.eps", %D Fig3D.eps Sum@n, 8n, 0, Infinity<D Sum::div : Sum does not converge. ân ¥ n=0 Sum@1 2 ^ n, 8n, 1, Infinity<D 1
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