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Integrate the function f(x) = (1/6)*x^3 + 1/(3*x^2) with respect to x, between x = 1 and x = 3^(1/2), giving your answer in the form a + b*3^(1/2) where a and b are constants to be determined.

We can imagine our function as a curve. We have x values on the x axis and f(x) values on the y axis of our graph. The question is essentially asking us to find the area between the curve, the x axis and the...
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Answered by Daniel V. • Economics tutor
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How can I improve my French without actually trying?

Sadly, we can't all go to France on holiday to polish up our French... A way of learning vocabulary that I have found very useful and also enjoyable is to listen to songs and the radio in French. You could a...
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Answered by Mathilde R. • French tutor
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Simple binomial: (1+0.5x)^4

Expand (1+0.5x)4 , simplifying the coefficients. Step 1. Draw Pascal's triangle to find the coefficients 1 ; 1 2 1 ; 1 3 3 1 ; 1 4 6 4 1. As you can see, each row starts and ends with 1. The numbers in betwe...
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Answered by Srikka S. • Maths tutor
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The vehicle accelerates horizontally from rest to 27.8 m s–1 in a time of 4.6 s. The mass of the vehicle is 360 kg and the rider has a mass of 82 kg. 1. Calculate the average acceleration during the 4.6 s time interval.

This question is testing your ability to recognise which equations to use from the formula sheet based on the variables provided. To start, write down the known variables in the SUVAT fromat: S (distance tra...
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Answered by Zaid A. • Physics tutor
8123 Views

Describe the process of translation in protein synthesis

- Following transcription, the mRNA (messenger RNA) leaves the nucleus via the nuclear pores and enters the cytoplasm. It then attaches to a ribosome . - tRNA molecules in the cytoplasm carry a single amino ...
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Answered by Florence L. • Biology tutor
48415 Views