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Solve simultaneously: x + y + 3 = 0 and y = 2x^2 +3x - 1

First Step:

I believe here it is important to firstly look at each equation on its own and just try to think how the examiner would want you to answer this type of question.

Answered by Jamie S. • Maths tutor

5113 Views

Solve the equation; 4 cos^2 (x) + 7 sin (x) – 7 = 0, giving all answers between 0° and 360°.

4 cos² (x) + 7sin (x) – 7 = 0 (1)

Using the identity sin² (x) + cos² (x) = 1,

rearrange to give; cos² (x) =...

Answered by Connor S. • Maths tutor

19328 Views

Find the factors of x^3−7x−6

To find the factors of x³-7x-6, a method called equating coefficients can be used.

Firstly, set the equation to zero and find a suitable number which satisfies the equation, in...

Answered by Michael W. • Maths tutor

12685 Views

Differentiate a^x with respect to x

y=a^x

take natural logs (also written as ln or log base e) of both sides

lny=lna^x

by logarithms rules lna^x=xlna

lny=xlna

Now diff...

Answered by James M. • Maths tutor

42911 Views

How do I do integration by substitution?

There are a number of integrals that we can evaluate directly, called elementary functions:integral[x dx] = x²/2 + Cintegral[cos(x) dx] = sin(x) + C...

Answered by Matthew T. • Maths tutor

6545 Views