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Maths
A Level

What is the magnitude and direction of the resultant force of 3N horizontal and 5N vertical?

Magnitude:
Find the square root of 3^2+5^2=root of 34=5.83N (3sf)
Direction:
Draw a triangle with 3N at the bottom, 5N going up and the hypotenuse then represents the resultant force.The di...

Answered by Rhiannon H. Maths tutor
3310 Views

Why is it that the sum of all natural numbers up to n is 1/2(n)(n+1)?

First let's consider the case of even numbers. Suppose n is even, then it must be double some other number, so we have:
n = 2k
Where k is another natural number. We want to find out what:
1...

Answered by Ibrahim M. Maths tutor
2987 Views

Find dy/dx in terms of t for the curve defined by the parametric equations: x = (t-1)^3, y = 3t - 8/t^2, where t≠0

The first step is to recognise that, by the chain rule, dy/dx = dy/dt * dt/dx.
dy/dt and dt/dx can both be found by differentiating the functions given in the question, to give dy/dt and dx/dt. dt/d...

Answered by Alex C. Maths tutor
19793 Views

integrate the following: 2x^4 - 4/sqrt(x) +3 with respect to x

The 3 terms of this equation can be integrated separately. The general integration of xn is (xn+1)/n+1 where n is a real number not equal to -1. This can be applied to the terms 2x

Answered by Adrien F. Maths tutor
3184 Views

Why is the derivative of the exponential function itself?

The exponential function is defined as a power series, which we may (for reasons that are beyond the scope of A-level) differentiate term by term to get another power series. The general term of the serie...

Answered by George B. Maths tutor
3690 Views

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