Basic Engineering Mathematics, Fifth Edition

148 Basic Engineering Mathematics A graph ofyagainstx^2 is shown in Figure 18.1, with the best straight line drawn through the p ...

Graphs reducing non-linear laws to linear form 149 Hence, when the load L=20N, distance, d= 2 35 − 20 = 2 15 =0.13m. Problem 3. ...

150 Basic Engineering Mathematics aandb. Determine the cross-sectional area needed for a resistance reading of 0.50ohms. Corres ...

Graphs reducing non-linear laws to linear form 151 and shows thatlgyis plotted vertically against xhorizontallyto producea strai ...

152 Basic Engineering Mathematics From para (a), page 150, if T=kLn then lgT=nlgL+lgk and comparing with Y=mX+c shows that lgTis ...

Graphs reducing non-linear laws to linear form 153 Gradient of straight line, lgb= AB BC = 2. 13 − 1. 17 3. 0 − 1. 0 = 0. 96 2. ...

154 Basic Engineering Mathematics Now try the following Practice Exercise Practice Exercise 71 Determination of law involving lo ...

Chapter 19 Graphical solution of equations 19.1 Graphical solution of simultaneous equations Linear simultaneous equationsin two ...

156 Basic Engineering Mathematics Rearranging each equation intoy=mx+cform gives y=− 1. 20 x+ 1. 80 (1) y= x 5. 0 − 8. 5 5. 0 i. ...

Graphical solution of equations 157 (a) y y 5 x 2 x 2 1 21 0 1 (b) y 53 x 2 y x 2 1 21 0 1 y x 2 1 21 0 1 (c) y 5 21 x 2 Figure ...

158 Basic Engineering Mathematics Lety= 4 x^2 + 4 x−15. A table of values is drawn up as shown below. x − 3 − 2 − 1 0 1 2 y= 4 x ...

Graphical solution of equations 159  10  8  6  4  2 0.6 y 5 x 2  9 x7.2 0.9 2.4  1 0 123 2 4 6 8 10 11.25 12 y x Figu ...

160 Basic Engineering Mathematics (d) Comparing y=−^2 x^2 +^3 x+6(3) with 0 =− 2 x^2 +x+5(4) shows that, if 2x+1 is added to bot ...

Graphical solution of equations 161  4  21  1 0 B A y 2  4 x y 2 x^2  3 x 4 23 x 2 4 6 8 10 y  2 Figure 19.13 Now try t ...

162 Basic Engineering Mathematics 22 212 0.6 24 4 8 12 16 y 14.2 28 212 216 220 221 224 0123 x y 54 x^328 x^2215 x 19 Figure 19. ...

Revision Test 7 : Graphs This assignment covers the material contained in Chapters 17–19.The marks available are shown in bracke ...

164 Basic Engineering Mathematics The currentiflowing in a discharging capacitor varies with timetas shown. i(mA) 50.0 17.0 5. ...

Chapter 20 Angles and triangles 20.1 Introduction Trigonometry is a subject that involves the measurement of sides and angles of ...

166 Basic Engineering Mathematics 41 degrees and 29 minutes is written as 41◦ 29 ′.41◦ 29 ′ is equivalent to 41 29 ◦ 60 = 41. 48 ...

Angles and triangles 167 (i) 47′′+ 34 ′′= 81 ′′ (ii) Since 60′′= 1 ′, 81 ′′= 1 ′ 21 ′′ (iii) The 21′′is placed in the seconds co ...