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If 3(x-2)-4(x+5)=10 , what is the value of x?

To answer this question we need to combine like terms so that we do not have multiple x's. Knowing the order of operations is key here. First, we must multiple the coefficients outside the parentheses with t...
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Answered by Rachel B. • Maths tutor
3599 Views

The equation: x^3 - 12x + 6 has two turning points. Use calculus to find the positions and natures of these turning points.

To find the turning points we need to find when the differential of the equations with respect to x is equal to 0. (dy/dx = 3x 2 - 12 = 0) From this we find that the turning points happen when x = 2, x = -2 ...
JR
Answered by Jon R. • Maths tutor
9297 Views

Differentiating equations of the type ln[f(x)]

To solve such equations we take advantage of log lawes to simplify the problem . E.g ln[sqrt(1-x 2 )] = ln[(1-x 2 ) 1/2 ] = 1/2ln[1-x 2 ] After simplifing the problem we can differentiate with respect to x y...
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Answered by Mousa S. • Maths tutor
3946 Views

Find the opposite length of the triangle with hypotenuse length 5 and adjacent length 4.

I would start off by asking them if they know the Pythagoras theorem. If they don't, I would refresh their memory and explain that its a 2 +b 2 =c 2 where c is the hypotenuse (longest length). I would then a...
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Answered by Fatema D. • Maths tutor
3551 Views

How do I integrate x/(x^2 + 3) ?

To solve this you need to integrate by substitution. You can spot this because the differential of the bottom of the fraction is a multiple of the top part, showing this quickly; if u = x 2 + 3 (the bottom p...
KM
Answered by Knox M. • Maths tutor
14177 Views