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Find the roots of x^2+5x+4=0

(x+4)(x+1)=0 x=-1 x=-4
CD
Answered by Christian D. • Maths tutor
3744 Views

Find and classify all the stationary points of the function f(x) = x^3 - 3x^2 + 8

Stationary points occur when the gradient of the function is zero. They can be visualised on a graph as hills (maximum points), as troughs (minimum points), or as points of inflection. (I would draw all thre...
RB
Answered by Ryan B. • Maths tutor
13701 Views

Differentiate y = (sin(x))^2 (find dy/dx)

This a relatively simple question which requires the use of the chain rule to solve. First we set u = sin(x) so we then have y = u 2 . Next we perform do differentiations, one on u as a function of x and the...
TC
Answered by Tabraiz C. • Maths tutor
18748 Views

Solve these simultaneous equations: 2x+y-5=0 and x^2-y^2=3

To solve this problem, you need to: rearrange the first equation (1) to express y in terms of x to obtain equation (3). Then, substitute this new equation into the quadratic one (the second equation from the...
NB
Answered by Nana B. • Maths tutor
5691 Views

What is the integral of sin(3x) cos(5x)?

Using trig formulas we have sin(5x+3x)= sin(5x)cos(3x)+cos(5x)sin(3x) and sin(5x-3x)= sin(5x)cos(3x) - cos(5x)sin(3x). Hence, sin(5x+3x) - sin(5x-3x) = sin(8x)-sin(2x) = 2cos(5x)sin(3x). This implies that co...
MN
Answered by Morenikeji N. • Maths tutor
6449 Views