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Find the minimum value of the function, f(x) = x*exp(x)

The minimum value lies where the tangent to the curve has a gradient of zero and the curve approaching from both directions increases in value. This is done by finding the first and second derivatives of the...
RT
Answered by Robin T. • Maths tutor
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Assess the reasons for the fall of the Romanov dynasty in February 1917

Firstly analyze what the question is truly asking for and address the key words and terms. Begin with a brief introduction that places the question historically in the context of the period, and then look to...
BE
Answered by Bruce E. • History tutor
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1a) Simplify 2a^3 x a^5 1b) (4x^2)^3 1c) 2(3y+1) - 3(y-4)

1a) To simplify this into one expression you first multiply together the co-efficients, therefore 2a x a = 2a. Then for indices when they are multiplied together you add them, so the simplification would be ...
FI
Answered by Freddie I. • Maths tutor
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What is a parliamentary select committee?

A select committee is composed of a number of MPs from across the parties in Parliament, represented in proportion to how many seats they have. They typically question witnesses (often properly grilling them...
GD
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Given the function f(x) = 2x^2 + 3.When f(x) = 53 find both values of x

Sub in f(x)=53 into equation. So you have 53=2x^2+3, deduct 3 from both sides to get 50=2x^2 and then divide each side by 2 to get 25=x^2 and finally square root both sides to get x=5 or x=-5.
JW
Answered by Jack W. • Maths tutor
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