9 SpaceTime 103 0 27 1 10 1 1 10 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 40 2 1 1 0  1 0 1 0 22 TangentLine(x^2+1,x,1) 0 0 10 15 107 0 11 0 0 11 TangentLine 3 255 0 1 x 2 94 0 2 1 94 1 2 43 0 1 1 43 1 3 255 0 1 x 2 255 0 1 5 107 3 0 0 0 0 0 0   0 2 2x 0 2 0 0 1 2 0 0 0 1 x 13 0 0 21 16   1 0 1 0 16 Plot([2x,x^2+1]) 1 0 11 15 251 0 2 40 0 2 3 255 0 1 x 1 42 1 3 255 0 1 x 2 94 0 2 1 94 1 2 43 0 1 1 43 1 1 101 2 5 251 1 0 0 0 0 0 0   -5 5 -12.012345679012345 29.183203779911601 2 80 16711680 1 0 0 0 0.1 0 0 1 2 16711680 255 65535 65280 0   1 0 1 0 20 Taylor(sin(x),x,5,0) 2 0 8 15 107 0 11 0 0 6 Taylor 3 255 0 1 x 5 1 1 3 255 0 1 x 2 255 0 5 2 255 0 0 5 107 4 0 0 0 0 0 0   0 20 (x^5)/120+(-x^3)/6+x 0 9 2 0 1 x 7 6 0 1 5 17 0 1 3 120 0 30 0 1 - 36 18 0 1 x 48 6 0 1 3 58 0 1 1 6 52 30 0 1 + 68 18 0 1 x 83 18 0 0 30 26 26 0 48 65 26 26 0 91 46   1 0 1 0 20 Taylor(sin(x),x,9,0) 3 0 8 15 107 0 11 0 0 6 Taylor 3 255 0 1 x 5 1 1 3 255 0 1 x 2 255 0 9 2 255 0 0 5 107 4 0 0 0 0 0 0   0 66 2.755731922398589‰-6x^9+-0.000198412698413x^7+(x^5)/120+(-x^3)/6+x 0 17 2 0 20 2.755731922398589‰-6 0 18 0 1 x 209 18 0 1 9 219 12 1 1 - 232 18 0 17 0.000198412698413 241 18 0 1 x 421 18 0 1 7 431 12 1 1 + 441 18 0 1 x 463 6 0 1 5 473 0 1 3 120 456 30 0 1 - 492 18 0 1 x 504 6 0 1 3 514 0 1 1 6 508 30 0 1 + 524 18 0 1 x 539 18 0 456 486 26 26 0 504 521 26 26 0 547 46   1 0 2 0 16 scroll(n,1,20,1) 0 33 plot([ln(x),Taylor(ln(x),x,n,1)]) 4 0 18 15 215 0 3 255 0 1 n 2 255 0 1 2 255 0 20 2 255 0 1 5 215 4 15 251 1 3 255 0 1 x 5 25 1 11 0 0 6 Taylor 3 255 0 1 x 5 25 1 3 255 0 1 x 3 255 0 1 n 2 255 0 1 5 107 4 1 101 2 5 251 1 0 0 0 0 0 0   -5 5 -6 6.0121500000000001 2 80 16711680 1 0 0 0 0.1 0 0 0 2 16711680 255 65535 65280 0   1 0 1 0 47 DSolve(y'(t) + y(t) = sin(t) , y(t) , y(0) = 5) 5 0 21 15 107 0 11 0 0 6 DSolve 11 1 0 1 y 3 255 0 1 t 5 107 1 11 0 0 1 y 3 255 0 1 t 5 107 1 1 43 1 3 255 0 1 t 5 1 1 1 61 1 11 0 0 1 y 3 255 0 1 t 5 107 1 11 0 0 1 y 2 40 0 0 5 107 1 2 61 0 5 1 61 1 5 107 3 0 0 0 0 0 0   0 36 (-cos(t))/2+(sin(t))/2+(11exp(-t))/2 0 16 3 3 1 - 0 14 0 1 1 9 2 0 1 2 9 26 0 3 cos 22 14 0 1 t 56 14 0 1 + 69 14 0 1 1 84 2 0 1 2 84 26 0 3 sin 97 14 0 1 t 124 14 0 1 + 137 14 0 2 11 152 2 0 1 2 157 26 0 1 Ü 174 14 0 1 - 193 4 1 1 t 201 4 1 9 18 22 22 0 84 93 22 22 0 152 170 22 22 0 52 66 10 34 120 134 10 34 189 208 0 18 208 42   1 0 1 0 47 DSolve(y'(t) + y(t) = sin(t) , y(t) , y(0) = 5) 6 0 21 15 107 0 11 0 0 6 DSolve 11 1 0 1 y 3 255 0 1 t 5 107 1 11 0 0 1 y 3 255 0 1 t 5 107 1 1 43 1 3 255 0 1 t 5 1 1 1 61 1 11 0 0 1 y 3 255 0 1 t 5 107 1 11 0 0 1 y 2 40 0 0 5 107 1 2 61 0 5 1 61 1 5 107 3 0 0 0 0 0 39 Parameter 2 is 0 and is not a variable.   0 36 (-cos(t))/2+(sin(t))/2+(11exp(-t))/2 0 16 3 3 1 - 0 14 0 1 1 9 2 0 1 2 9 26 0 3 cos 22 14 0 1 t 56 14 0 1 + 69 14 0 1 1 84 2 0 1 2 84 26 0 3 sin 97 14 0 1 t 124 14 0 1 + 137 14 0 2 11 152 2 0 1 2 157 26 0 1 Ü 174 14 0 1 - 193 4 1 1 t 201 4 1 9 18 22 22 0 84 93 22 22 0 152 170 22 22 0 52 66 10 34 120 134 10 34 189 208 0 18 208 42   1 0 1 0 41 DSolve(y'(t) + y(t) = sin(t) , y(t) , no) 7 0 17 15 107 0 11 0 0 6 DSolve 11 1 0 1 y 3 255 0 1 t 5 107 1 11 0 0 1 y 3 255 0 1 t 5 107 1 1 43 1 3 255 0 1 t 5 1 1 1 61 1 11 0 0 1 y 3 255 0 1 t 5 107 1 3 255 0 2 no 5 107 3 0 0 0 0 0 0   0 47 (-cos(t))/2+(sin(t))/2+(exp(-t))/2+y(0)*exp(-t) 0 22 3 5 1 - 0 14 0 1 1 9 2 0 1 2 9 26 0 3 cos 22 14 0 1 t 56 14 0 1 + 69 14 0 1 1 84 2 0 1 2 84 26 0 3 sin 97 14 0 1 t 124 14 0 1 + 137 14 0 1 1 152 2 0 1 2 152 26 0 1 Ü 165 14 0 1 - 184 4 1 1 t 192 4 1 1 + 202 14 0 1 y 217 14 0 1 0 231 14 0 1 Ü 248 14 0 1 - 267 4 1 1 t 275 4 1 9 18 22 22 0 84 93 22 22 0 152 161 22 22 0 52 66 10 34 120 134 10 34 180 199 0 18 227 244 10 34 263 282 0 18 282 42   1 0 1 0 47 DSolve(y''(x) + 2y'(x) + y(x) = x, y(x), [1,2]) 8 0 24 15 107 0 11 0 0 6 DSolve 11 2 0 1 y 3 255 0 1 x 5 107 1 2 43 0 2 11 1 0 1 y 3 255 0 1 x 5 107 1 1 42 1 1 43 1 11 0 0 1 y 3 255 0 1 x 5 107 1 1 43 1 3 255 0 1 x 1 61 1 11 0 0 1 y 3 255 0 1 x 5 107 1 2 40 0 1 2 255 0 2 1 101 2 5 107 3 0 0 0 0 0 0   0 23 x+3exp(-x)+4x*exp(-x)-2 0 14 0 2 1 x 0 14 0 1 + 11 14 0 1 3 26 14 0 1 Ü 38 14 0 1 - 57 4 1 1 x 65 4 1 1 + 78 14 0 1 4 93 14 0 1 x 107 14 0 1 Ü 119 14 0 1 - 138 4 1 1 x 146 4 1 1 - 162 14 0 1 2 173 14 0 53 75 0 18 134 156 0 18 182 30   1 0 1 0 18 Solve(3x^2+4x-3=0) 9 0 15 15 169 0 2 40 0 3 3 255 0 1 x 2 94 0 2 1 94 1 1 42 1 2 43 0 4 3 255 0 1 x 1 42 1 1 43 1 2 45 0 3 1 45 1 2 61 0 0 1 61 1 5 169 1 0 0 0 0 0 0   0 36 [(-sqrt(13))/3-2/3,(sqrt(13))/3-2/3] 0 12 10 1 1 - 4 20 0 2 13 29 8 0 1 3 29 32 0 1 - 56 20 0 1 2 67 8 0 1 3 67 32 0 1 , 79 20 0 2 13 107 8 0 1 3 107 32 0 1 - 134 20 0 1 2 145 8 0 1 3 145 32 0 20 16 24 19 0 28 20 4 24 0 28 51 4 4 0 16 50 28 28 0 67 76 28 28 0 98 94 24 19 0 106 98 4 24 0 106 129 4 4 0 94 128 28 28 0 145 154 28 28 0 0 158 0 52 158 52   1 0 1 0 33 SolveSystem([x+2y=1, x^2+y^2=10]) 10 0 20 15 107 0 11 0 0 11 SolveSystem 3 255 0 1 x 2 43 0 2 3 255 0 1 y 1 42 1 1 43 1 2 61 0 1 1 61 1 3 255 0 1 x 2 94 0 2 1 94 1 3 255 0 1 y 2 94 0 2 1 94 1 1 43 1 2 61 0 10 1 61 1 1 101 2 5 107 1 0 0 0 0 0 0   0 14 [[x,y],[3,-1]] 0 4 6 0 1 x 12 8 0 1 y 44 8 0 1 3 12 41 0 2 -1 41 41 0 0 64 0 0 0 0 64 33 33 0 0 64 66 66 0 0 0 0 66 0 32 32 0 66 0 64 64 0 66 0 64 66   1 0 1 0 15 A=[[1,2],[3,4]] 11 0 10 15 0 0 13 255 0 1 A 2 40 0 1 2 255 0 2 1 101 2 2 40 2 3 2 255 2 4 1 101 2 1 101 2 1 61 1 0 0 0 0 0 0   0 13 [[1,2],[3,4]] 0 4 6 0 1 1 9 8 0 1 2 36 8 0 1 3 9 41 0 1 4 35 41 0 0 54 0 0 0 0 54 33 33 0 0 54 66 66 0 0 0 0 66 0 27 27 0 66 0 54 54 0 66 0 54 66   1 0 1 0 18 [[1,2,-1],[1,1,3]] 12 0 11 15 0 0 2 40 0 1 2 255 0 2 2 1 0 1 1 1 1 1 101 3 2 40 3 1 2 255 3 1 2 255 3 3 1 101 3 1 101 2 0 0 0 0 0 0   0 18 [[1,2,-1],[1,1,3]] 0 6 7 0 1 1 12 8 0 1 2 44 8 0 2 -1 73 8 0 1 1 12 41 0 1 1 44 41 0 1 3 76 41 0 0 96 0 0 0 0 96 33 33 0 0 96 66 66 0 0 0 0 66 0 32 32 0 66 0 64 64 0 66 0 96 96 0 66 0 96 66   1 0 1 0 29 RowReduce([[1,2,-1],[1,1,3]]) 13 0 12 15 193 0 2 40 0 1 2 255 0 2 2 1 0 1 1 1 1 1 101 3 2 40 3 1 2 255 3 1 2 255 3 3 1 101 3 1 101 2 5 193 1 0 0 0 0 0 0   0 18 [[1,0,7],[0,1,-4]] 0 6 7 0 1 1 13 8 0 1 0 47 8 0 1 7 81 8 0 1 0 13 41 0 1 1 47 41 0 2 -4 77 41 0 0 102 0 0 0 0 102 33 33 0 0 102 66 66 0 0 0 0 66 0 34 34 0 66 0 68 68 0 66 0 102 102 0 66 0 102 66   1 0 1 0 1 A 14 0 2 15 0 0 3 255 0 1 A 0 0 0 0 0 0   0 13 [[1,2],[3,4]] 0 4 6 0 1 1 9 8 0 1 2 36 8 0 1 3 9 41 0 1 4 35 41 0 0 54 0 0 0 0 54 33 33 0 0 54 66 66 0 0 0 0 66 0 27 27 0 66 0 54 54 0 66 0 54 66   1 0 1 0 12 B=Inverse(A) 15 0 5 15 0 0 13 255 0 1 B 3 255 0 1 A 5 200 1 1 61 1 0 0 0 0 0 0   0 19 [[-2,1],[3/2,-1/2]] 0 7 8 0 2 -2 11 20 0 1 1 53 20 0 1 3 15 65 0 1 2 15 89 0 1 - 47 77 0 1 1 59 65 0 1 2 59 89 0 15 24 85 85 0 59 68 85 85 0 0 76 0 0 0 0 76 57 57 0 0 76 114 114 0 0 0 0 114 0 38 38 0 114 0 76 76 0 114 0 76 114   1 0 1 0 3 A*B 16 0 4 15 0 0 3 255 0 1 A 3 255 0 1 B 1 42 1 0 0 0 0 0 0   0 13 [[1,0],[0,1]] 0 4 6 0 1 1 9 8 0 1 0 35 8 0 1 0 9 41 0 1 1 35 41 0 0 52 0 0 0 0 52 33 33 0 0 52 66 66 0 0 0 0 66 0 26 26 0 66 0 52 52 0 66 0 52 66   1 0 1 0 12 Transpose(A) 17 0 3 15 191 0 3 255 0 1 A 5 191 1 0 0 0 0 0 0   0 13 [[1,3],[2,4]] 0 4 6 0 1 1 9 8 0 1 3 36 8 0 1 2 9 41 0 1 4 35 41 0 0 54 0 0 0 0 54 33 33 0 0 54 66 66 0 0 0 0 66 0 27 27 0 66 0 54 54 0 66 0 54 66   1 0 1 0 14 Eigenvalues(A) 18 0 3 15 194 0 3 255 0 1 A 5 194 1 0 0 0 0 0 0   0 38 [-0.372281323269014,5.372281323269014] 0 3 0 1 18 -0.372281323269014 4 4 0 1 , 188 4 0 17 5.372281323269014 203 4 0 0 380 0 24 380 24   1 0 1 0 15 Eigenvectors(A) 19 0 3 15 201 0 3 255 0 1 A 5 201 1 0 0 0 0 0 0   0 79 [[-0.824564840132394,-0.42222915041526],[0.565767464968992,-0.923052314250193]] 0 4 6 0 18 -0.824564840132394 9 8 0 17 -0.42222915041526 217 8 0 17 0.565767464968992 12 41 0 18 -0.923052314250193 214 41 0 0 404 0 0 0 0 404 33 33 0 0 404 66 66 0 0 0 0 66 0 202 202 0 66 0 404 404 0 66 0 404 66   1 0 1 0 27 Eigenvalues([[0,-1],[1,0]]) 20 0 10 15 194 0 2 40 0 0 2 1 0 1 1 1 1 1 101 2 2 40 2 1 2 255 2 0 1 101 2 1 101 2 5 194 1 0 0 0 0 0 0   0 6 [Ý,-Ý] 0 3 0 1 1 Ý 4 4 0 1 , 20 4 0 2 -Ý 35 4 0 0 59 0 24 59 24   1 0 1 0 27 Eigenvectors([[0,-1],[1,0]] 21 0 10 15 201 0 2 40 0 0 2 1 0 1 1 1 1 1 101 2 2 40 2 1 2 255 2 0 1 101 2 1 101 2 5 201 1 0 0 0 0 0 0   0 56 [[-1/(sqrt(2)),-1/(sqrt(2))],[Ý/(sqrt(2)),-Ý/(sqrt(2))]] 0 10 22 0 1 - 9 20 0 1 1 29 8 0 1 2 34 36 0 1 - 63 20 0 1 1 83 8 0 1 2 88 36 0 1 Ý 21 69 0 1 2 28 97 0 2 -Ý 71 69 0 1 2 82 97 0 25 21 52 47 0 33 25 32 52 0 33 47 32 32 0 21 46 28 28 0 79 75 52 47 0 87 79 32 52 0 87 101 32 32 0 75 100 28 28 0 19 15 113 108 0 27 19 93 113 0 27 41 93 93 0 15 40 89 89 0 73 69 113 108 0 81 73 93 113 0 81 95 93 93 0 69 94 89 89 0 0 108 0 0 0 0 108 61 61 0 0 108 122 122 0 0 0 0 122 0 54 54 0 122 0 108 108 0 122 0 108 122   1 0 1 0 38 Plot3d(sin(x^2+y+T),x=[-3,3],y=[-3,3]) 22 0 22 15 252 0 3 255 0 1 x 2 94 0 2 1 94 1 3 255 0 1 y 1 43 1 3 255 0 1 T 1 43 1 5 1 1 3 255 0 1 x 2 1 0 3 1 1 1 2 255 0 3 1 101 2 1 61 1 3 255 2 1 y 2 1 2 3 1 1 1 2 255 2 3 1 101 2 1 61 1 5 252 3 0 0 0 0 0 0   -3 3 -3 3 -3 3 2 255 65535 16711680 65280 0 1 40 1 0 23 314 0 0 0 -25 1 0 0.025   1 0 5 0 10 f(x)=x^2-2 0 11 loop(i,1,n) 0 14 a=a-f(a)/f'(a) 0 3 end 0 1 a 23 0 30 15 0 0 11 0 0 1 f 3 0 0 1 x 5 103 1 3 0 0 1 x 2 94 0 2 1 94 1 2 45 0 2 1 45 1 1 61 1 15 220 1 3 1 0 1 i 2 255 0 1 3 2 0 1 n 5 220 3 15 0 2 13 3 0 1 a 3 3 0 1 a 11 0 0 1 f 3 3 0 1 a 5 107 1 11 1 0 1 f 3 3 0 1 a 5 107 1 1 47 1 1 45 1 1 61 1 15 249 3 15 0 4 3 3 0 1 a 7 Newtons 3 a,n 0 0 0 0   7 Newtons 3 a,n 0   1 0 1 0 12 Newtons(1,5) 24 0 5 15 107 0 11 0 0 7 Newtons 2 40 0 1 2 255 0 5 5 107 2 0 0 0 0 0 0   0 17 1.414213562373095 0 1 0 0 17 1.414213562373095 0 0 0 172 16   1 0 1 0 7 sqrt(2) 25 0 3 15 32 0 2 40 0 2 5 32 1 0 0 0 0 0 0   0 17 1.414213562373095 0 1 0 0 17 1.414213562373095 0 0 0 172 16   1 0 1 0 0 26 0 0 0 0 0 0 0 0    27 2637 2636