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Solving 2tan(x) - 3sin(x) = 0 for -pi ≤ x < pi

The first step to answering this question is to get the equation in a simpler form. Aim to have it solely in terms of sin(x) and cos(x) with no fractional parts. To begin doing this, remember that tan(x) = s...
BA
Answered by Benjamin A. • Maths tutor
22155 Views

Take the polynomial p(x)=x^4+x^3+2x^2+4x-8, use the factor theorem to write p(x) as two linear factors and an irreducible quadratic. An irreducible quadratic is a quadratic that can not be factorised.

We must use the factor theorem since that is what the question asks. So we take p(x) and think about the factors of 8 we then evaluate it at x=1 to start, then move onto x=-1,2,-2 and so on. We see that it h...
JC
Answered by Jordan C. • Maths tutor
4822 Views

How would the integral ∫x^2sin2xdx be solved using integration by parts?

The general formula for integration by parts is given as ∫u(dv/dx)dx = uv - ∫v(du/dx)dx given that the equation to be solved is ∫x 2 sin2xdx, the values for u, v, du/dx and dv/dx can be assigned as u = x 2 d...
SN
Answered by Samuel N. • Maths tutor
11745 Views

Solve x^2+5x+6=0 by factorising

First of all, when we expand brackets we know that the x will be at the start of the brackets (x )(x )= 0 Look a the equation again, x 2 +5x+6=0. All of our numbers are positive so we know that we don't need...
ET
Answered by Emily T. • Maths tutor
79603 Views

fifty two thousand, seven hundred, and twenty four people went to a concert. Write this in numbers and round it to the nearest thousand.

52,724 53,000 We round up because 7 is greater than 5 and is therefore closer to 10 than 0.
SU
Answered by Sarah U. • Maths tutor
4169 Views