step by step solving rubik's cube

Solve f '(x) = 0 to get the critical values for f (x). Let these values be a, b, c. These are the points of maxima or minima. Arrange these values in ascending ord..

Find the co-ordinates of each vertex of the feasible region. These co-ordinates can be obtained from the graph or by solving the equation of the line..

Check if f (a) = f (b) If all the above condition are satisfied, then Rolle's theorem is applicable else the Rolle's theorem is not applicable. If Rolle's theorem is applicable, solve f '(c) = 0. Show that one of these roots lie in the open interval (a, b..

If (x 1 , y 1 ) is the point found in step 4, then x = x 1 , y = y 1 , is the optimal solution of the LPP and Z = ax 1 + by 1 is the optimal value. The above method of solving an LPP is more clear with the following exampl..

Assume unknown currents in a given circuit and show their directions by arrows. Choose any closed loop and find the algebraic sum of voltage drops plus the algebraic sum of the emfs in that closed loop and equate it to zero. Write equations for as many closed loops as the number of unknown ..

+ 90 + m ∠ N = 180. Step 5: Solving gives m ∠ N = 0. Step 6: This means that there is no ΔLMN, which contradicts the given statement. Step 7: So the assumption that ∠ L and ∠ M are both right angles must b => Angle addition postulate or ..

Choose the first step that would help you solve the equation - 7 x = - 35 + 20 x . => add - 7 x to both sides or subtract 20 x from both sides or multiply both sides by 7 or divide both sides by 7..

Graphical Method of Solution of a Linear Programming Problem - So far we have learnt how to construct a mathematical model for a linear programming problem. If we can find the values of the decision variables x 1 , x 2 , x 3 , ..... x n , which can optimise (maximize or minimize) the objective func..

Write the first step to solve the equation 5 3 (4 + 5 h ) = 5 e for h . => 5 h = 3 5 + 5 e or 4 + h e = 5 or 4 - 5 h = 3 5 + 5 e or 4 + 5 h = 3 e..

Mathematics in daily life Steps in problem solving Problem solving strategies Tools to solve problems Tools to record observations Informal and mathematical language Make generalizations Justify solution..