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(i) Find the coordinates of the stationary point on the curve y = 3x^2 − 6/x − 2. [5] (ii) Determine whether the stationary point is a maximum point or a minimum point.

i) dy/dx = 0dy/dx = 6x + 6/x^2 6x + 6/x^2 = 06x^3 + 6 = 0x^3 + 1 = 0x^3 = -1x = -1y = 7(-1, 7)ii) d^2y/dx^2 = 6 - 12/x^3 x = -1 6-12/(-1)^3 = 18>0 therefore, minimum point

DY
Answered by Dila Y. Maths tutor
8372 Views

Find the Binomial Expansion of (1-5x)^4.

First I would set up how i was taught using Pascals Triange. As this is to the power of 4 the numbers across will be 1 4 6 4 1.Then I would multiply each number by the correct power of either (-5x) or (1)...

MV
6140 Views

What is the method to solve an equation of type : ax^2+bx+c = 0 ?

This kind of equation is called a quadratic or a polynomial of degree 2.The goal when faced with a quadratic is to solve it as fast as possible. We do this in two steps.
First, we check if there is a...

AV
Answered by Antoine V. Maths tutor
4088 Views

Integrate the function (3x+4)^2 using methods of expansion and substitution

For expansion:(3x+4)2=9x2+24x+16, go through expansion in online classroom. Now we integrate this using standard polynomial integration rules.
For substitution:
use the sub...

MR
Answered by Morgan R. Maths tutor
3704 Views

Simplify fully (x^2 + 3x)/(4x + 12) ​

First, factorise both the top and the bottom expressions. What is the common factor for the top expression? (expect an answer of x). If you factorise out the x, what are you left with? (expect x(x+3))What...

MP
Answered by Martha P. Maths tutor
3051 Views

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