limited express

If f and g are two functions defined over same domain D, then we have certain set of identities which can be used for solving limits problems with variables like algebraic expressions..

Limitations of Linear Programming - Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective fun..

Linear programming is applicable only to problems where the constraints and objective function are linear i.e., where they can be expressed as equations which represent straight lines. In real life situations, when constraints or objective functions are not linear, this technique cannot..

The length of a rod is to be 8.5 cm, with a tolerance of 0.04 cm. Express the tolerance limit as an absolute value inequality. (Use the variable n for the actual measure of the part in cm.) => | n + 8.5 | ≤ 0.04 or | n - 8.5 | ≤ 0.04 or | n - 8.5 | < 0.04 or | n + 8.5 |..

Express the limit lim n → ∞ ∑ i=1 n ( 3 n ) [( 3 i n ) 2 - 1] as a definite integral. => ∫ 0 1 x ( x 2 - 1) dx or ∫ 1 3 ( x 2 - 1) dx or ∫ 0 3 x ( x 2 - 1) dx or ∫ 0 3 ( x 2 - 1) dx ..

Express the limit lim n → ∞ ∑ i=1 n ( 1 n ) i 2 n 2 + 1 as a definite integral. => ∫ 0 1 x x 2 + 1 dx or ∫ 1 2 x x 2 + 1 dx or ∫ 0 1 x 2 + 1 dx or ∫ 1..

An equation in a single variable is called a polynomial equation of degree 'n' if it is an equation of the form In other words, an equation is a statement of equality between two algebraic expressions. It is satisfied by a limited number of values of the variabl..

Physics is sometimes called as 'science of measurement'. The acceleration produced by a force for the motion of a body can be known by measuring the magnitude of applied force and mass of the body. Similarly, the distance of a stone covered, when thrown horizontally, can be measured by knowing its ..

Objective Function: The Objective Function is a linear function of variables which is to be optimised i.e., maximised or minimised. e.g., profit function, cost function etc. The objective function may be expressed as a linear expression. Constraints: A linear equ..

Linear equations/inequalities Monomials and polynomials Factoring second and third degree polynomials Rational expressions/functions Quadratic equations Quadratic functions Exponents, factors, variation, exponential growth/decay Hypothesis, counterexamples Correlation for data ..