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What are the different forms of complex numbers and how do you convert between them?

Complex numbers have three primary forms: the general form, z=a+ib; the polar form, z=r(cosθ+isinθ); and the exponential form, z=rexp(iθ). To convert from the general form to either form you need to find ...

PL
36560 Views

Find the stationary points on the curve y = x^3 + 3x^2 - 9x - 4

A stationary point is where the gradient is exactly zero - the curve is neither increasing or decreasing. This means that we need to differentiate y to find dy/dx and then set this equal to 0. Doing this,...

RR
Answered by Richard R. Maths tutor
15893 Views

Calculate the standard enthalpy of combustion of a methane sample by using the standard enthalpies of formation.

Write the equation and balance it. CH4 + 2O2 --> CO2 + 2H2O Assign the enthalpies of formation and the sign of the energy value with the corresponding molecule (Will demonstrate my technique if needed)...

AC
Answered by Axel C. Chemistry tutor
25654 Views

By writing tan x as sin x cos x , use the quotient rule to show that d dx ðtan xÞ ¼ sec2 x .

First write tanx as sinx/cosx as it is always helpful to use what additional information the question gives you. It says we must use the quotient rule to calculate the result so it is also a good idea to ...

DB
Answered by Daniel B. Maths tutor
6363 Views

To what extent did Mussolini succeed in fulfilling the aims of his foreign policy?

The aims of Mussolini's foreign policy can be aptly summed up in his own words: to make Italy 'great, respected and feared'. He consistently tried to secure this reputation for Italy, but his methods chan...

AW
Answered by Anna W. History tutor
8538 Views

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