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If f(x)=(x-2)^2, determine the gradient of the tangent to the curve f(x) at x=-2.

Firstly, we will need to determine f'(x) which is the derivative of the function and will give us the gradient at a point. This is easiest done but multiplying out the brackets of f(x) to get the function in...
CG
Answered by Cameron G. • Maths tutor
3972 Views

How would I find the formula for the nth term of a sequence such as 3, 7, 11, 15, 19?

This is an example of a linear sequence which will always have the formula: u n =an+b. Where 'a' is the common difference between each term and 'b' is the 'zeroth' term.By subtracting the previous term from ...
TG
Answered by Tommy G. • Maths tutor
3920 Views

gradient and differentiation

dy/dxfirst principal
YZ
Answered by Yubin Z. • Maths tutor
2712 Views

solve the simultaneous equation: 5x+y =21 and x-3y=9

5x+y=215x-15y=45 16y = -24 y = -1.5 5x -1.5 =215x=22.5x=4.5
CM
Answered by Caitlin M. • Maths tutor
3035 Views

Gemma wants to buy an equal number of pencils and rulers. Find how many of each she is able to purchase with £5. Use the price list below.

Price list:Pencils - 10p Rulers - 30pWe know Gemma would like to buy an equal number of pencils and rulers. Therefore we can call this a 1:1 ratio. Using the price list we can see that 1 ruler and 1 pencil w...
TM
Answered by Talha M. • Maths tutor
3566 Views