Real Mathematics Intended Mainly for Practical Engineers As An Aid to the Stud

Cover Real Mathematics Intended Mainly for Practical Engineers As An Aid to the Stud
Real Mathematics Intended Mainly for Practical Engineers As An Aid to the Stud
Ernest G Ernest George Beck
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The introduction of the term ( - 4a:) has had the effect of moving the axis of the curve 2 to the right of the origin ; and, again imagining the graph-templet as sliding in the circumferential groove of a tiny wheel at the lower extremity of the sling (or suspender), the point on the graph in con- tact with the wheel in the new position i. E. The right-hand graph in Fig. 61 ^will be that which formerly corresponded with x= -2, its ordinate being -7. This point, then EQUATIONS AND THEIR GRAPHS 2
...03 and with it the whole graph ^has fallen through a distance equal to 11-7=4, which is reaUy 4" -f4 x 1.
As a highly instructive exercise, the student is advised to draw and analyse the graphs corresponding to several sets of similar relations, such as 2/ = Sa;^ + 7a; - 2, and y = Sx^-5x + 4:; comparing them, on the lines indicated above, with a central graph representing y = 3x^.
We may here anticipate later work slightly to observe that, given the relation y=ax^ + bx + c, the differential coefficient (that is, the rate of variation) of y with respect to x is | = 2x + 6.


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