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Determine the tangent to the curve y = sin^2(x)/x at the point, x = pi/2. Leave your answer in the form ax+by+c=0

First determine the y coordinate of the curve at the given x coordinate, in this case, y = sin²(pi/2)/(pi/2) = 1²/(pi/2) = 2/piDifferentiate the function with respect to x to determi...

Answered by Thomas B. • Maths tutor

4313 Views

It takes 9 minutes to paint 1 m^2 of wood. How long would it take to paint a wooden cube with sides of 2m?

The best way to think about this question is to imagine the plan of the cube. Looking at this you would see that there are 6 identical squares. Therefore you should realise that to work this question out ...

Answered by Deepali D. • Maths tutor

1868 Views

Simplify the fraction 54x^(6)y^(13)/6x^(3)y^(9).

We can treat the numbers (coefficients) 54/6 as one separate fraction to be multiplied by what we get when we've simplified the x's and y's. So first we do 54/6 to get 9, which we'll multiply the rest of ...

Answered by Leo K. • Maths tutor

2797 Views

How many books and modules and what are they all about?

For A-Level Maths you have 6 books (3 AS level and 3 A2 level)

C1 (Core Maths 1) the easiest book and simple algebra and polynomials (non-calculator paper) 1h30min long
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Answered by Siddharth N. • Maths tutor

2795 Views

If x^2 + y^2 = 20 and y=10 - 2x, find x and y.

First work out y² using the second equation, making sure to do this using the FOIL technique. Then substitute this into the first equation to get 5x² - 40x - 80 = 0. All the terms in...

Answered by Sara T. • Maths tutor

7565 Views