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Express (5x + 4)/(x +2)(x - 1) in partial fractions.

To put this equation into partial fractions we need to consider it in the form: (5x + 4)/(x +2)(x - 1) = A/(x + 2) + B/(x - 1) where A and B are numbers we are trying to find. To do this we need to multiply ...
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Answered by Emma W. • Maths tutor
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Given the equation 3x^2 + 4xy - y^2 + 12 = 0. Solve for dy/dx in terms of x and y.

Here the key is to remember to differentiate with both x and y with respect to x, where the differential of y is dy/dx. Consider the first term, 3x 2 : This differentiates to 6x. This is done by multiplying ...
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Answered by Emma W. • Maths tutor
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Iron can be extracted from iron ore by reaction with carbon at very high temperature in a blast furnace. In this process Fe2O3 is reduced to Fe. Explain what is meant by the term reduction.

Reduction: loss of oxygen (or gain of electrons)
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Answered by Mark T. • Chemistry tutor
5231 Views

Why do square roots have more than 1 solution?

As 3 2 is equivalent to (-3) 2 it follows that the square root of 9 must be + or -3.
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Answered by Masudul H. • Maths tutor
3518 Views

An electron and a proton are in any electric field E=5x10^2 V/m. What is their speed 1.0 cm after being released?

F=Eq= 5x10^2 x 1.6x10^-19 = 8x10^-17 N Kinetic energy theory: deltaEc= Fxd =1/2mv^2 thus v= squareroot(2xFxd/m) v(proton) = squareroot(2x8x10^-17x1x10^-2/9.1x10^-31)=1.3x 10^6 m/s v(electron) = squareroot(2x...
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Answered by Emma H. • Physics tutor
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