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Differentiate: 6x^2 + 5x +7 =y

6x^2 + 5x +7 =y

dy/dx = 12x + 5

To solve for a point of inflection:

dy/dx = 12x + 5 = 0

x=-5/12

y=143/24

Answered by Jack H. • Maths tutor

4210 Views

Given a circle with the equation y^2 + x^2 = 10, with a tangent that intersects at point P, where x=1, find the coordinates for the point at which the tangent meets the x axis (Q).

As the tangent meets the circle at P, when x =1, we can assume that the y value will be the same for this value of x. therefore we substitute x=1 into the equation of the cirlce. Rearranging the equation ...

Answered by Joseph P. • Maths tutor

4346 Views

f(x) = 5x − 12. (i) Calculate f(4). (ii) Find f( x + 1). Give your answer in the form ax + b .

i) (5 x 4) -12 = 8 ii) 5(x + 1) - 12 5x + 5 -12 5x - 7

Answered by Santiago M. • Maths tutor

4314 Views

Christine has more money than David. If Christine gave David £30, then they would have the same amount. If David gave Christine £33, then Christine would have twice as much money as David. How much money does each person have?

We need to start by translating the sentences into algebraic equations. There are 2 unknowns, Christine’s money and David’s money. Let Christine’s money= x Let David’s money = y If Christine gave David £3...

Answered by Ben C. • Maths tutor

2823 Views

Solve the equation "3y + 5 = 11" to find the value of y.

Remember that both sides of the equation need to 'balance', so any changes that we make to the right hand side must also be made to the left hand side.

Let's start by getting rid of the '5' on the...

Answered by Roshni P. • Maths tutor

5125 Views