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A cuboid has sides such that the longest side is two units more than the shortest side, and the middle length side is one unit longer than the shortest side. The total surface area of the cuboid is 52 units². Calculate the length of the shortest side.

The sides of the cuboid are as follows: x, x+1 and x+2. Total surface area of a cuboid is the area of each surface added together. Therefore 2x(x+2)+2x(x+1)+2(x+2)(x+1)= 52 units². 2x²+4x+2x²+2x+2x²+6x+4= 52...
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Answered by Sabina S. • Maths tutor
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How can I get to grips with German word order?

Word order in German can seem daunting, as it often does not follow the same pattern as English. However, there are rules to help you, and the more you read and listen in German, the more you will have a nat...
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Answered by Sophie D. • German tutor
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Integrate x^2e^x with respect to x between the limits of x=5 and x=0.

This question is to test integration by parts. First let u=x 2 and u'=2x as a result, and v'=e x and so v=e x too. Then use the by parts formula to express the integral as x 2 e x ​​​​​​​-2(integral of):(xe ...
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Answered by Alex A. • Maths tutor
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Give the reagents required for the nitration of toluene (methylbenzene) to 2,4,6-trinitrotoluene and provide a mechanism.

The reagents needed are sulphuric acid and nitric acid. It may be useful to notice that nitric acid here acts as a stoichiometric reagent, in that it is used up in the reaction to nitrate the toluene, but su...
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Answered by Alex A. • Chemistry tutor
8806 Views

In einem im 'Spiegel...(veröffentlichen) Bericht heißt es, dass die Eltern,...(Artikel) Kinder zweisprachig aufwachsen,...(hoch) Ansprüche an...(their) Kinder...(haben), als die Lehrer,...(Artikel)...(pronoun for Kinder) unterrichteten.

Firstly, I would go through each stage of the sentence with the student. They must write each verb, noun or pronoun in the correct case and tense with the correct endings. At each step I would expect not onl...
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