rate of change in quantity 2 variables

Rate of Change of Quantity - If a quantity y varies with respect to another quantity 'x' satisfying some rule y = f(x), in other words if y is a function x, then represents the rate of change of y with respect to x For x = x 0 , ..

If a quantity y varies with respect to another quantity 'x' satisfying some rule y = f(x), in other words if y is a function x, then represents the rate of change of y with respect to x For x = x 0 , dy/dx at x 0 is called the rate of change..

Quantities such as height, weight, age, amount can have several different values. Quantities which can assume different numerical values are called variables. Variables are of two types: (a) Continuous (b) Discre..

A Linear equation is a first degree algebraic expression with one,two or more variables equated to a constant. Graphically a linear equation with one or two variables is a straight line whereas one with three variable represents a plane. A simp..

fig 6.2 - Change in concentration of Product with time If the concentration of the reactant (A) is monitored at different times, say t 1 and t 2 then the rate of the reaction is given by [A] 2 is the concentration of A at time t 1 while [A] 1 is the..

Angular velocity - Suppose a particle P is moving in a circle as shown below. Let O be the centre and OX be the X-axis. The position of the particle may be described by the angle q . Let the particle move to the position q + d q in a time dt. Assume that the particle keeps changing its po..

The rate of a reaction is broadly defined as the speed with which the reactants are converted into products. This can be determined both quantitatively and qualitatively. Qualitatively, (concerned with or depending on constitiuents) an idea about the rate of a reaction can be o..

Linear Equations in One Variable - An equation of one variable and of first order (i.e., its highest power is one) is called a Linear equation. Such an equation has only one solution. A solution is also called the 'root' of the given equation.An equation of one variable..

If the rate of change in the area of a circle is 0.8 cm 2 /sec, then find the rate of change in the circumference of the circle when the radius is 4 cm. => 0.4 cm/sec or 50.26 cm/sec or 0.2 cm/sec or 197.39 cm/sec or 3.2 cm/sec o..

The rate of change of each side length of an equilateral triangle is 9 cm/s. Find the corresponding rate of change in its area when the side lengths are 8 cm each. => 18 3 cm 2 /s. or 27 cm 2 /s or 16 cm 2 /s or 36 3 cm 2..