Academics – Mathematics : 2024/JUL/05
Question
Q5. The stress, o MN\/m2, in an alloy steel plate was recorded at different, x cm, from one end
The results are shown in Table Q5.
(a) Draw a straight - line graph to verify that the relationship between σ and x is a law of the form σ = ax2 + bx where a and b are constants.
x | 4.0 | 7.0 | 8.0 | 10.0 | 11.0 |
σ | 24 | 104 | 142 | 236 | 294 |
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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