![]() In the example rlow, we shall illushate how to set up a formula showing the metional relation betwgen the variables. ![]() It is irriportant that we he familiar with uhe functional nota: on In mathematics and the physical sci€nces functional notion plays a convenient and important 1rad. His implies that z is determined'whe4.x and y are givefi and it ig tstomary to saSrthat z is a function of x and y, Fof instance, the rlume of a right circular cylinder is a function of the altitude h rd radius r of the base.that is, V=f(r,h):zrr2h. The function concep,tmay,be extended !o relations between ,or€ than two variables,Consider the equation" z: express the stiffhess as a function of the depth. The stiffness of a beam of nrctangutar cross section is proportional to the breadth and tbe cube of,the depth, If the breadth is 20 crn. ![]() 9fĮxpress the.distance D,traveled in t hr by a car whose speeO is 60 km/hr.Įxpress the area A of an cquilateral triangle as a function cl its side x. ![]() If y = tan (x.+ 1), find r as a function y. Symbolically, this is written in the lrm* y = f (x) N,general,if there rs a relation between two variablesx.and y such hat for each value of x, there corresponds a vairre of y, then y is rid to be a function of x. ![]()
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