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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 = sin 2 (pi/2)/(pi/2) = 1 2 /(pi/2) = 2/piDifferentiate the function with respect to x to determine the gradient of th...
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Answered by Thomas B. • Maths tutor
5461 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 you...
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Answered by Deepali D. • Maths tutor
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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 the...
LK
Answered by Leo K. • Maths tutor
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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 C2 (Core Maths 2) continuation of C1 a...
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Answered by Siddharth N. • Maths tutor
4966 Views

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

First work out y 2 using the second equation, making sure to do this using the FOIL technique. Then substitute this into the first equation to get 5x 2 - 40x - 80 = 0. All the terms in this can be divided by...
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Answered by Sara T. • Maths tutor
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