2 3 5 2 / 3 2 3 2. / 3 0.666667 Sqrt[3] 3 Sqrt[3.] 1.73205 2^(1 / 3) 2

2+3
5
23
2
3
2.  3
0.666667
Sqrt@3D
3
[email protected]
1.73205
2 ^ H1  3L
213
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