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Calculate the volume obtained when rotating the curve y=x^2 360 degrees around the x axis for 0<x<2

I haven't yet figured out how to write in proper mathematical notation on here, and my drawing pad is yet to arrive, so please forgive the formatFirst, the formula for the volume of revolution is V= pi *...

Answered by • Maths tutor

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Renee buys 5 kg of sweets to sell. She pays £10 for the sweets. Renee puts all the sweets into bags. She puts 250 g of sweets into each bag. She sells each bag of sweets for 65p. Renee sells all the bags of sweets. Work out her percentage profit.

5kg bag of sweets split into bags of 250g. Convert 5kg to grams which equals 5000By dividing the weight of each bag you can figure out how many bags she can make are 20 bags as 5000/250 = 20. She sells ea...

Answered by Connor M. • Maths tutor

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The equation of line L is y = 3x - 2 and the equation of line Q is 3y - 9x + 5 = 0, show these two lines are parallel

The basic equation of a line is I=the general form y = mx + c. Where c is a constant and m is the gradient of the lineFor lines to be parallel they must have the same gradient, then they will never crossT...

Answered by Harry H. • Maths tutor

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The sum of the first n terms of an arithmetic sequence is Sn=3n^2 - 2n. How can you find the formula for the nth term un in terms of n?

Having learned a lot about the arithmetic and geometric sequences, most people are used to expressing the n^th term of a sequence un in the form u_n=u₁+d(n-1) for the arithm...

Answered by Julianna P. • Maths tutor

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Work out the equation of the tangent at x = 3, knowing that f(x) =x^2

Currently, we know that:f(x) = x²To find the equation of the tangent you need the gradient and the y-value of the graph at x = 3So, you can differentiate f(x):f'(x) = 2xlet x = 3: f(x) = 9 f'(x...

Answered by Arnav A. • Maths tutor

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