Basic Engineering Mathematics, Fifth Edition

128 Basic Engineering Mathematics The current i flowing in a capacitor at time t is given byi= 12. 5 ( 1 −e−t/CR), where resist ...

Revision Test 6 : Quadratics, logarithms and exponentials This assignment covers the material contained in Chapters 14–16.The ma ...

Chapter 17 Straight line graphs 17.1 Introduction to graphs A graph is a visual representation of information, showing how one q ...

Straight line graphs 131 1 2 3 4 5 A B C D E F Figure 17.2Reprinted with permission from AA Media Ltd. a point on a map. If you ...

132 Basic Engineering Mathematics theyvalue. In Figure 17.3, pointBhas co-ordinates (− 4 , 3 )and pointChas co-ordinates(− 3 ,− ...

Straight line graphs 133 value outside the given data is calledextrapo- lation.Toextrapolateweneedtohaveextended thestraightline ...

134 Basic Engineering Mathematics 20 15 10 11.8 5  5  3 10  2  1 0 1.5  31 2.2 243 x y Figure 17.7 straight line shown in ...

Straight line graphs 135 (a) 8 7 6 5 4 3 2 1 2110 AB C y 234 (b) 11 10 8 6 4 2 24232221 F ED x 0 x y 523 x (^12) y y 52 x 11 y 2 ...

136 Basic Engineering Mathematics  4  3  2  (^11234) x A C B F E D y x 5 y x 2 y x 3 y x 9 y 8 7 6 5 4 3 2 1  1  2 ...

Straight line graphs 137 given by FE ED = − 5 −(− 17 ) 0 − 3 = 12 − 3 =− 4 Hence, the gradient of both y=− 4 x+4and y=− 4 x−5is− ...

138 Basic Engineering Mathematics (d) Ify=− 5 x−3, then (i)gradient=− 5 (ii)y-axis intercept=− 3 (e) If y=6i.e.y= 0 x+6, then (i ...

Straight line graphs 139 23 20 24 23 220 15 10 8 5 25 210 215 220 y x C B A 21 132 4 Figure 17.13 (b) They-axis intercept atx=0 ...

140 Basic Engineering Mathematics isv=mt+c. But, from above, gradient,m= 2 .5and v-axis intercept,c= 5 .5. Hence,the equation of ...

Straight line graphs 141 A piece of elastic is tied to a supportso that it hangs vertically and a pan, on which weights can be ...

142 Basic Engineering Mathematics horizontallineBDmeets the vertical axis indicates the equivalent Fahrenheit temperature. Hence ...

Straight line graphs 143 Plot a graph of stress (vertically) against strain (horizontally). Find (a) Young’s modulus of elastici ...

144 Basic Engineering Mathematics (Note that the vertical lineABand the horizon- tal lineBCmay be constructed anywhere along the ...

Straight line graphs 145 n(rev/min) 285 517 615 V(volts) 60 95 110 n(rev/min) 750 917 1050 V(volts) 130 155 175 Plot a graph of ...

146 Basic Engineering Mathematics Plot a graph of F (vertically) againstw (horizontally). (a) Interpolate and determine the crus ...

Chapter 18 Graphs reducing non-linear laws to linear form 18.1 Introduction In Chapter 17 we discovered that the equation of a s ...