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Maths
A Level

Find the integral of 4x^2 - 10x + 1/(x^(1/2)), with respect to x, in its simplest form.

= (4/3)x3 - (10/2)x2 + x1/2/(1/2) + C = (4/3)x3 - 5x2 + 2x1/2 + C

Answered by Aisha A. Maths tutor
3103 Views

Can you explain the sum of 1 to 100?

The idea here is to pair your numbers up to get to the solution. If you were to put this through a calculator it would take you a while. However, if we simplify the problem to the sum of 1 to 10 you'll be...

Answered by Jasivan S. Maths tutor
2718 Views

Find the exact solution, in its simplest form, to the equation ln(4y + 7) = 3 + ln(2 – y) (Core Maths 3 Style Question)

First we subtract ln(2-y) from both sides to get "ln(4y+7) - ln(2-y) = 3". By applying the laws of logs from C2, we have "ln[(4y+7)/(2-y)] = 3". Therefore, if we put them as exponents ...

Answered by Danielle B. Maths tutor
3769 Views

Find the differential of y(x)=(5x*Cos(3x))^2

Firstly I would state the substitution rule, letting 5xCos(3x)=w(x), and differentiating with respect to w(x). This gives y'(x)=2w'(x)(w(x)).I would then demonstrate the product rule stating ...

Answered by Harry L. Maths tutor
3046 Views

If x is a real number, what are the solutions to the quadratic: 4*x^2- 4*x+1 = 0

You first calculate the delta of the equation: delta = b^2-4ac = 16 - 16 = 0 => the solution is double.x1,2 = (-b±sqrt(delta))/2/a = 4/2/4 = 1/2 which is real.so the solutions are 1/2 and 1/2....

Answered by Maria I. Maths tutor
2657 Views

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