Sign (CAS mode) A solution can be obtained only when is a numeric value. Definition: Signum(A) = 1 (real number,A>0) Undefined (A=0) -1 (real number,A<0) A/|A| (A=imaginary number) [OPTN][F4](sign) signum( expression [ ) ] 1. signum( -21 ) -1 2. signum( 1.5 ) 1 3. signum( 3 + 4i ) 3/5 + 4i/5 4. signum( ) 1 5. signum( - ) -1

Simplification (CAS,ALGEBRA,TUTOR mode) Simplifies an expression. CAS,TUTOR; [F1](TRNS)[6](smplfy) ALGEBRA; [F1](TRNS)[1](smplfy) simplify( expression [ ) ] simplify( equation [ ) ] simplify( inequality [ ) ] 1. simplify( ln(2) + ln(3) ) [F1](TRNS)[6](smplfy)[ln] [2][+][ln][3][EXE] 2. simplify( cos(2X)+(sin(X))2 ) (cos(X))2 3. simplify( (cos(X) sin(Y) - sin(X+Y) ) 4. simplify((X+1)2) |X+1| <real mode> (X+1)2 <complex mode> 5. simplify( ln(e2 + 1) + ln(3) ) ln(3e2+3) 6. simplify( 2X+3 -X+3 =Y+X-3Y+3-1 ) X+3Y+3 = X-2Y+2 7. simplify(2(X+Y)<2+X-3(2X-3Y)) 2(X+Y) < -5X+9Y+2

Solve (CAS,ALGEBRA mode) Solves an equation. CAS,TUTOR; [F1](TRNS)[4](solve) ALGEBRA; [F1](TRNS)[5](solve) solve( expression [ , var ] [ ) ] solve( equation [ , var ] [ ) ] solve( inequality [ , var ] [ ) ] Linear system of equations solve( { equation1 [ , equation2 [ , ...[ , equationN ] ] ] } , { var1 [ , var2 [ , ... [ , varN ] ] ] } [ ) ] 1. To solve AX^2+BX-C=0 [F1](TRNS)[4](solve) [ALPHA][A][X^2][+] [ALPHA][B][-][ALPHA][C] [SHIFT][=][0][EXE] 2. solve( A+B = C, A ) { A= -B+C } 3. solve((X^2-2)/(X-2)=0,X) {X=-2} 4. solve( 3X+2Y-11 = 0, Y ) { Y=-3X/2 + 11/2 } 5. solve( 1/(X-7) = 1/(3X+8), X ) { X= -15/2 } 6. solve( (X2-1)/(X2+1)+1 = 0, X ) { X=0 } 7. solve( 2X-1 < 3, X ) { X<2 } 8. solve( 1/X 0, X ) { 0<x} 9. solve( X/((X-1)(X+1)) 0, X ) { -1<X 0, 1<x} 10. solve( Abs(2X-1) < 3, X ) { -1<X<2 } 11. solve( (X2+4X)/(X+3) < 3, X ) { X< -(37)/2 - 1/2, -3<X<(37)/2 - 1/2 } 12. solve( X2+X-1 = 0, X ) { X=(-(5))/2 - 1/2, X=(5)/2 - 1/2 } 13. solve( 4X2+2X-4 = X2+2X, X ) {X= -2(3)/3, X=2(3)/3 } 14. solve( X4 + 1 = 0, X ) No solution <real mode> 15. solve( X2 - Abs(X) - 2 = 0, X ) { X= -2, X=2 } 16. solve( 2X + Abs(X-2) = 6, X ) { X=8/3 } 17. solve( Abs(X-1) + (X+3) = 5, X { X=3/2 } 18. solve( Abs(X-1) + Abs(X+3) = 5, X ) { X= -7/2, X=3/2 } 19. solve( (X2-2)/(X-(2)) = 0, X ) { X= -2 } 20. solve( 2^X = 3^X, X ) { X=0 } 21. solve( 9^X + 3^X = 2, X ) { X=0 } <real mode> 22. solve( Abs(2X-1) = 3, X ) { X= -1, X=2 } 23. solve( ln(X2-4X+3) = ln(3), X ) { X=0, X=4 } 24. solve( ln(X2-1) + ln(X2-X) = ln(X), X ) { X= (-(5))/2 + 1/2, X= ((5))/2 + 1/2 } 25. solve( ln(X+2) + 1 = ln(X-1) + ln(2), X ) { X= -2/e-2 - 2e/e-2 } 26. solve( ln(2^X) = ln(3^X), X ) { X=0 } 27. solve( sin(X), X ) { X=2k, X=2k + } 28. solve( X sin(X)+sin(X), X ) { X= -1, X=2k, X=2k + } 29. solve( 2 cos(X) + 3 = 0, X ) { X=2k - 5/6, X= -2k + 5/6 } 30. solve( 4 cos(X)2 - 1 = 0, X ) { X=2k - 2/3, X=2k - /3, X= -2k + /3, X= -2k + 2/3 } 31. solve( 2 sin(X)2 + cos(X)2 - 3/2 = 0, X ) { X=2k - 3/4, X=2k - /4, X=2k + /4, X=2k + 3/4 } 32. solve( -ABX2+AX^3+X2-3BX+2X2 ) { X=0, X= -3/A, X=B } 33. solve( -4X2-4 ) No solution <real mode> { X= -i, X=i } <complex mode> 34. solve( eX - e(-X) = 8/3, X ) { X=ln(3) } <real mode> { X=ln(3), X=i - ln(3) } <complex mode> 35. solve( e(2X+1) + 3e(X+1) = 4e1 { X=0 } <real mode> { X=0, X=i + 2 ln(2) } <complex mode> Linear system of equations 36. solve( {X+AY=3, XB+4=6}, {X, Y} ) { X=2/B, Y=(3B-2)/AB } 37. solve( {10X-4Y=0, 8+10X-5Y=0}, {X, Y} ) { X=16/5, Y=8 } 38. solve( {6+6H+2S=0, -4H-4S=0}, {H, S} ) { H= -3/2, S=3/2 } 39. solve( {-2+7X+8A=0, 5+9A-5W=0, -3+X+3W=0}, {X, A, W} ) { X=54/149, A= -10/149, W=131/149 }

	Store expression var 1. X^3 Q[EXE] Q[EXE] Q X3 2. X+3 T[EXE] T2[EXE] T (X+3)2 3. 2A+1 B[EXE] C2+1 A[EXE] B[EXE] B A 2(C2+1)+1

Substitution (CAS,ALGEBRA,TUTOR mode) Assigns an expression to a variable. CAS; [F1](TRNS)[9](sbstit) ALGEBRA; [F1](TRNS)[8](sbstit) TUTOR; [F1](TRNS)[7](sbstit) substitute( expression , var = expression [ , var = expression ... ] ] [ ) ] substitute( equation , var = expression [ , var = expression ... ] ] [ ) ] substitute( inequality , var = expression [ , var = expression ... ] ] [ ) ] 1. To assign 5 to X in 2X-1 CAS; [F1](TRNS)[9](sbstit) [2][X][-][1][,][X][=][5][EXE] ALGEBRA; [F1](TRNS)[8](sbstit) [2][X][-][1][,][X][=][5][EXE] 2. substitute( 2X+1, X=5 ) 11 (CAS mode) 5 2 + 1 (ALGEBRA mode) 3. substitute( 3X+5Y, X=3, Y=7 ) 384 (CAS mode) 3 3 + 7 5 (ALGEBRA mode) 4. substitute( 2X+3Y=5, Y=3X+1 ) 2X+3(3X+1)=5 5. substitute(3X+5Y-Z=9, Y=2X, Z=2X-3 ) 11X+3=9 6. substitute(A+2B+3C+4D>0, A=2+D, B=2D-1, C=D2 ) 3D2+9D>0

Sum (CAS mode) Calculates a sum.Calculates a sum. [F2](CALC)[4]() ( expression , var , start , end [ ) ] 1. 1) To calculate the sum as the value of X in X^2 changes from X=1 through X=10. [F2](CALC)[4]()[X][X^2][ , ][X][ , ][1][ , ][10][EXE] ( X2, X, 1, N ) (2N3+3N2+N)/6 ( (2K-1), K, 1, N ) N2 ( K2, K, 1, 10 ) 385 ( sin(X), X, 1, 3 ) sin(3)+sin(2)+sin(1) ( (2K+1)/ ((1/6)K(K+1)(2K+1)), K, 1, N ) 6N/(N+1) ( (3+2^N)/8^N, N, 1, ) 16/21 ( (3+2^N)/8^N, N, 1, ) 16/21 ( (3^N-2^N)/4^N, N, 1, ) 2 ( 2/(N(N+2)), N, 1, ) 3/2

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