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Point A lies on the curve y=3x^2+5x+2. The x-coordinate of A is 2. Find the equation of the tangent to the curve at the point A

First differentiate the function with respect to x, dy/dx=6x+5 this finds the gradient function now calculate the gradient at point A by inputing x=2 into the gradient function 6(2)+5=17. Now using y=mx+c...

DS
4310 Views

Explain how a monopoly affects competition in a market

A monopoly is a type of market structure where by the market is dominated by one company. Due to the lack of participants in the market, the monopoly has the ability of charging high prices with low quant...

CM
Answered by Chloe M. Economics tutor
1817 Views

Write 2x^2 + 6x + 6 in the form a(x^2 + b) + c by completing the square.

2x2 + 6x + 62(x2 + 3x + 3) => Factor out 4 from each term so the x2 term of the quadratic has 1 for a coefficient.2[(x + 3/2)2 - d + 3] => Here, we've div...

II
Answered by Iffshah I. Maths tutor
3366 Views

What is the simplified version of ( 2a+4a^2+3a)

Firstly group the like terms to make the expression (5a+4a^2) and then factor out 'a' as it is a common term.This makes the expression ( a(5+4a))

RG
Answered by Rajun G. Maths tutor
3762 Views

Find the solutions to the simultaneous equations

y - 2x = 3 x2 + y2 = 18Step 1- re-arrange the first formula to find y: y = 3 + 2x Step 2- Substitution: x2 + ( 3 + 2x )2 = 18 Step 3- Expand the brackets: ( 3 +...

RH
Answered by Rebecca H. Maths tutor
3044 Views

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