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11(x+3)=121

x=8
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Answered by Aadil V. • Maths tutor
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A bus departs from Lancaster at 10.57a.m. The bus arrives at Manchester at 12:13p.m. How many minutes does the bus spend on its journey from Lancaster to Manchester?

76 minutes.
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Answered by Aadil V. • Maths tutor
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Differentiate x^x

(x^x)(ln(x)+1)
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Answered by Aadil V. • Maths tutor
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Explain the formation of a waterfall

Waterfalls are found in the upper course of the river where a harder, more resistant band of rock sits on top of a softer, less resistant band of rock. The softer rock is more easily eroded, so it wears away...
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Answered by Alice G. • Geography tutor
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Using substitution, integrate x(2 + x))^1/2 where u^2 = 2 + x

u 2 = 2 + xx = u 2 - 2dx/du = 2u ʃ x(2 + x)) 1/2 dx= ʃ xu dx= ʃ u(u 2 - 2) dx= ʃ 2u 2 (u 2 - 2) du= ʃ 2u 4 - 4u 2 du= [2/5u 5 - 4/3u 3 + C]= 2/5 (2 + x) 5/2 - 4/3 (2 + x) 3/2 + C
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Answered by Sonali P. • Maths tutor
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