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Identify the stationary points of f(x)=3x^3+2x^2+4 (by finding the first and second derivative) and determine their nature.

f'(x)=9x2​+4x, and f''(x)=18x+4 (derivatives) 

f'(x)=0 at x=0 or x=-4/9

when x=0 f''(x)>0 therefore a minimum value, when x=-4/9 f''(x)<0 and thus a maximum value. 

SO
Answered by Sieff O. Maths tutor
4018 Views

Solve X^2 - 10X + 18=0

This is solving a quadratic equation. There are two ways we can solve this. Using the quadratic equation or completing the square. 1. Quadratic equation-The equation is in the form ax^2 + bx + c. Where a=...

BM
Answered by Ben M. Maths tutor
8594 Views

Find values of x for which 2x^2 < 5x + 12

Start by rearranging the inequality - make sure the sign next to the x2 term is positive to make it easier: 

2x-5x - 12< 0

Next step is to factorise this quadratic...

SB
Answered by Sean B. Maths tutor
14961 Views

Write 0.185 as a percentage

Times by 100

0.185 X 100= 18.5%

EP
Answered by Emily P. Maths tutor
4206 Views

Show that 3/10 + 2/15= 13/30

First make the denominator the same

3/10 X3 

2/15 X2

=9/30 + 4/30

=13/30

EP
Answered by Emily P. Maths tutor
7369 Views

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