solving two step equations

Take deviations of the item from the calculated mean and call it ..

If log (sin C) comes out as positive, sin C would have to be greater than 1 and there is no solutio..

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 th..

To maximise Z draw a line parallel to ax + by = k and farthest from the origin. This line should contain at least one point of the feasible region. Find the coordinates of this point by solving the equations of the lines on which it lies. To minimise Z draw a line parallel to ..

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..

Since the two decision variable x and y are non-negative, consider only the first quadrant of xy- plane Draw the line ax + by = c ...(1) For each constraint, the line (1) divides the first quadrant in to two regions say R 1 and R 2 , suppose (x 1 , 0) is a point i..

To add up the two half reactions, multiply equation (i) by 4 as..

(2ax) 2 + 2(2ax)b = -4ac [Writing 4a 2 x 2 = (2ax) 2 , 4abx = 2(2ax)..

Now add up the two half equations. Multiply equation (i) by 6 so that electrons are balanced. The balanced equation is: If we carefully see step 2 part-(iii) and (iv) we get a method for balancing redox reaction in acidic medium. Char..