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How can I determine the stationary points of a curve and their nature?

For example, y = 3x³+ 9x² + 2. Determine the stationary points and their nature.

Let's remind ourselves what a stationary point is, and what is meant by the ...

Answered by Tutor87017 D. • Maths tutor

146089 Views

Find all the solutions of 2 cos 2x = 1 – 2 sinx in the interval 0 ≤ x ≤ 360°.

We know that having cos and sin functions in a question is going to cause us problems - we need a single function of x. So, step 1, we need to rewrite sin or cos in terms of the other. How do we choose wh...

Answered by Nicola H. • Maths tutor

22451 Views

How do you expand (2x-1)(3x+4) using the FOIL method?

First, we must understand what the FOIL method is.

FOIL is an ancronym that we use to help us remember the steps when expanding brackets.

F - first

O - outer

I - inner

Answered by James L. • Maths tutor

6278 Views

Factorise and solve the quadratic equation x^2 + 6x + 8 = 0

Theory

Problems like this need to be broken down into steps: i) Factorise, ii) solve and iii) check. The aim of this question is to find values of ...

Answered by Tutor87306 D. • Maths tutor

8533 Views

Find the indefinite integral of sin(2x)(cos^2(x)) with respect to x.

We know from trigonmetric identities that cos(2x) = 2cos^2(x) -1, therefore cos^2(x) = 0.5(1+cos(2x)).

Subbing this in gives the following integrand: 0.5(1+cos(2x))sin(2x).

We can now split ...

Answered by Patrick P. • Maths tutor

5011 Views

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