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Maths
A Level

The points P (2,3.6) and Q(2.2,2.4) lie on the curve y=f(x) . Use P and Q to estimate the gradient of the curve at the point where x=2 .

To answer this question you will need to recall the formula for the gradient of a straight line. Cordinates are written in the form (x​1,x2​) and (y1,​y2​)...
Answered by Abdulmuminu Y. Maths tutor
5493 Views

Integrate this funtion f'(x)=2x +4 with respect to x (C1 integration)

Solution to Answer:

y= (2x^2)/2 + 4x + C

Therefore:

y= x^2 + 4x + C

Steps on how to do C1 Integration

y = ...

Answered by Seair Q. Maths tutor
5717 Views

What is the second derivative used for?

First of all, "second derivative", d2y/dx2, is what you get when you differentiate the first derivative (dy/dx).

The second derivative can be used as an ea...

Answered by KONSTANTINOS T. Maths tutor
29165 Views

The shortest side of a triangle is 4.3m long. Two of the angles are 45.1 and 51.2 degrees respectively. Find the length of the longest side.

To begin we calculate the third unknown angle in the triangle by taking the two known angles (45.1 and 51.2) away from 180 degrees (remember the interior angles of a triangle sum to 180). We find this ...

Answered by Adam J. Maths tutor
4688 Views

Use integration by parts to find the integral of xsinx, with respect to x

The integration by parts rule looks like this:

∫ u * v' dx = u * v - ∫ ( v * u' ) dx

Hence in this example, we want to make our u = x and v' = sinx

So we now n...

Answered by Toby S. Maths tutor
56606 Views

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