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Differentiate f(x) = 14*(x^2)*(e^(x^2))

Differentiate f(x) = 14x 2 e x^2 To approach this problem we first need to realise that f(x) is made up of two simpler functions multiplied together. This tells us that we should use the product rule to solv...
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Answered by Toby C. • Maths tutor
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If I have a ball thrown horizontally with a speed u off a building of height h , how do I calculate its speed when it hits the ground?

Here we will want to use the SUVAT equations, which I'm sure you will have come across. Notice that in the question we only have an initial horizontal velocity and because we model all objects as points, we ...
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Answered by Charlotte G. • Maths tutor
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In the arthmetic sequence, the first term is 3 and the fourth term is 12. Find the common difference (d) and the sum of the first 10 terms.

a. Finding du n = u 1 + (n-1)du 4 = u 1 + (4-1)d12 = 3 + 3dd = 3 b. Sum of first 10 termss n = n/2(2u 1 + (n-1)d)s 10 = 5(6 + 9d)s 10 = 30 + 45(3)s 10 = 165
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Answered by Ruchi A. • Maths tutor
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Find the stationary point(s) on the curve 2xsin(x)

Derivative of 2xsin(x): 2sin(x)+2xcos(x)Set derivative equal to zero: 2sin(x)+2xcos(x)=0Solve: only valid when x=0Therefore the only stationary point is (0,0) ie the origin.
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Answered by Seyi O. • Maths tutor
3556 Views

How would you convert a recurring decimal to a fraction?

With this question, it is useful to work with a specific example, so let’s take the recurring decimal 0.27. The first step in converting it to a fraction is to set it equal to x, this will help us with our a...
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Answered by Matthew L. • Maths tutor
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