linear relation ship

Assume a rod of material having a length L o at initial temperature T o . When the temperature changes by D T, the length changes by D L. Experiment shows that if D T is not too large (say, less than 100 o C or so), D L is directly proportional to D T. If two rods made of the same material have the..

When a rigid body such as a merry-go-round rotates around an axis, each particle in the body moves in its own circle around that axis. Since the body is rigid, all particles make one revolution in the same amount of time. i.e., they all have the same angular speed w . However, far a ..

Different forms of numbers Scientific notation, square roots, exponents, radicals, absolute value, factorial, logarithms Properties of numbers Estimation of solutions Sequences and series Proportionality/direct variation, exponential/fractional expressions Patterns, relations and ..

The functional relation-ship between the independent variable and the dependent variable (such as y = f(x)) which satisfies the given differential equaion is called the solution of the differential equatio..

Angular momentum bears the same relation to linear momentum that torque does to forc..

Summary - The first two parts describe how the old sailor (Ancient Mariner), defying laws of hospitality, cruelly kills a sea bird - an Albatross, and is then haunted and followed by the spirit of Albatross. In the first part of the poem, the sailor appears suddenly as three guests are about to ent..

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Proportional/non-proportional linear relationships Problems involving percents and other proportional relationships Various representations of a numerical relationship Terms in an arithmetic sequence Variables, expressions, equations, inequalities Single/multiple-step linear..

Theoretical/empirical probability Probability models Studying patterns and analyzing data Rates, linear functions, direct/inverse variation Problems related to personal income, credit, financial planning Transformations, symmetr..

Inequations An inequation is said to be linear if each term of the algebraic expression (or expressions) of the inequation contains first degree variables (not the product of variables). ax + by ³ 0, ax + by £ 0, ax + by ³ c, ax + by £ c where a, b not equals to 0 ar..