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The curve C has equation y=3x^3-11x+1/2. The point P has coordinates (1, 3) and lies on C . Find the equation of the tangent to C at P.

In order to find the gradient of a tangent to the curve C we must differentiate our equation for C.dy/dx= 9x2-11To find the gradient of a tangent at a specific point P we substitute the coordin...

Answered by Chloe W. Maths tutor
5080 Views

Naoby invests £6000 for 5 years. The investment gets compound interest of x% per annum. At the end of 5 years the investment is worth £8029.35 Work out the value of x.

The answer to the question can take a backwards approach. i.e. in order for you to make £8029.35 in 5 years from £6000, what does the yearly interest need to be.Since the interest is compounded, the yearl...

Answered by Arlind L. Maths tutor
18314 Views

How do I solve a simultaneous equation?

In a simultaneous equation, you have tow unknown constants. For example: 2x + y = 18; x − y = 6. To find out the values of each, you first need to find one. You do this by getting one constant on its own ...

Answered by Nat L. Maths tutor
2810 Views

Complete the square of 2x^2+16x-24 and hence state the minimum value of the function

2[(x^2+8x-12) [Explain basic complete the square technique]2[(x+4)^2 -16 -12]2[(x+4)^2-28]2(x+4)^2-56The term (x+4)^2 is always greater or equal to 0. So the smallest value it can have is 0. So the minimu...

Answered by Jake S. Maths tutor
3243 Views

How do you work out the mean of a set of numbers?

You find the mean of a set of data by adding up all of the values then dividing the number you get by the total numbers in the data. An example of this is: 'Find the mean of '6, 8, 9, 17' <...

Answered by Erin M. Maths tutor
2619 Views

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