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Given the function f(x)=λx^3 + 9, for λ other than zero, find the inflection point of the graph in terms of λ. How does the slope of the line tangent to the inflection point changes as λ varies from 0 to 1?

f'(x) = 3λx^2f''(x) = 6λxFor the inflection point (x 0 ,y 0 ), it is true that f''(x 0 )=0 so 6λx o =0 => x 0 = 0 (since λ cannot be zero)Therefore, the infelction point is (0,f(0)) => (0,9)The second ...
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Answered by Claire D. • Maths tutor
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Psychology involves a lot of memorisation, and how is anybody supposed to remember ALL of those case studies, the names of the psychologists involved, and the results? 'It's too much!' you may cry. Here's wh...
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I have written personal statements for undergraduate and postgraduate degree, and been accepted into every university I have applied for using these. You can do the same, and the key is to evaluate everythin...
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Traditionally we have classified living organisms into groups based on their structure and morphology (essentially how they look!). This was a system developed by a scientist called Linnaeus in the 1700's. L...
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why do metallically bonded structures conduct electricity

In order for metals to bond they need to loose electrons to ensure that they have a full outer shell and become positively charged. The positive cations (metal ions) are attracted to the negatively charged e...
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