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integrate 5x + 3(square root of x)

5/2 x^2 + 2x^3/2 +c
AW
Answered by Ariana W. • Maths tutor
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Work out the equation of the tangent to a circle of centre [0,0] at the point [4,3]

We know that: (1) the radius of the circle to the point [4,3] is perpendicular to the tangent line, (2) if two lines are perpendicular, their gradients are negative reciprocals of each other, and (3) the for...
JS
Answered by Jamie S. • Maths tutor
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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...
TC
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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