Academics – Mathematics : 2017/JUL/05
Question
Q5. a) The stress σ(MN⁄m2) in alloy steel plate was recorded at different distances x (cm)from one end. The results are shown in Table Q5
a) Plot a straight line graph to show that the results follow the law σ = ax2 + bx, where a and bare constants. (10)
| x | 5.0 | 6.5 | 7.5 | 9.0 | 10.0 | 11.5 |
| σ | 39 | 78 | 111 | 171 | 218 | 299 |
Table Q5
Suggested scales: horizontal axis 2 cm = 1
vertical axis 2 cm = 2
b) Use the graph drawn in Q5 (a) to estimate the value of a and b. (6)
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