step by step for solving equations containing integers

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 pa..

For a differentiable function f (x), find f '(x). Equate it to zero. Solve the equation f '(x) = 0 to get the Critical values of f (x..

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..

Differentiate the terms containing x, y or both xy with respect to x. While differentiating the terms containing y or power of y, first..

If Mean value theorem is applicable, solve the equation Show that one of the roots lie in the open interval (a, b). This verifies the Mean Value Theore..

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..

Find all pairs of factors whose product is the last term of the trinomial. From the pairs of factors from step 1, choose a pair of factors whose sum is the coefficient of the middle term of the trinomial. Split the middle term using the pair of factors from step 2 a..

+ 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 ..

Which of the following choices is the first step in solving the equation - 2 x = - 32 + 19 x ? => Add - 2 x on both sides or Multiply 2 on both sides or Subtract 19 x on both sides or None of the above..