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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 multip...

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Answered by Emma W. Maths tutor
5848 Views

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, 3x2 : This differentiates to 6x. This is done by...

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Answered by Emma W. Maths tutor
4929 Views

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)

MT
Answered by Mark T. Chemistry tutor
5090 Views

Why do square roots have more than 1 solution?

As 3 is equivalent to (-3)2 it follows that the square root of 9 must be + or -3.

MH
Answered by Masudul H. Maths tutor
3393 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

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EH
Answered by Emma H. Physics tutor
2488 Views

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