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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, us...
RR
Answered by Richard R. • Maths tutor
17228 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). e...
AC
Answered by Axel C. • Chemistry tutor
29352 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 wri...
DB
Answered by Daniel B. • Maths tutor
7749 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 changed...
AW
Answered by Anna W. • History tutor
10182 Views

Should you read the whole passage for the Verbal Reasoning section of the test?

You’re going to have to go through relatively large amounts of text very quickly in this section, so you’ll have an advantage if you’re a fast reader. I don’t teach you to read the passage in our strategy, b...
KD
Answered by Kunal D. • UCAT tutor
7739 Views