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Why is it "Ich wohne hier seit 4 Jahren" and not "Ich habe hier seit 4 Jahren gewohnt"?

The latter would seem to make sense, as it is a direct translation of the English " I have lived/have been living here for 4 years ", however, when describing the length of time that an action has ...
TB
Answered by Tatyana B. • German tutor
6051 Views

What is the difference between a historian and a biographer?

Suetonius represents an example of an ancient biographer. While Suetonius was a Roman, the biographical tradition came from the Greeks and another example can also be found in Plutarch. Ancient biographies a...
MS
5500 Views

Express '6cos(2x) +sin(x)' in terms of sin(x).

6cos(2x) +sin(x).Using the double angle formula for cosine (or otherwise), cos(2x) = cos(x)cos(x) - sin(x)sin(x) .cos(2x) = cos^2(x) - sin^2(x) .Hence, 6cos(2x) +sin(x) = 6(cos^2(x) - sin^2(x)) + sin(x). Now...
RM
Answered by Robbie M. • Maths tutor
5976 Views

Find the x and y coordinates of the turning points of the curve 'y = x^3 - 3x^2 +4'. Identify each turning point as either a maximum or a minimum.

The first part of the problem is solved by differentiating once and equating this to zero: y = x^3 - 3x^2 +4 . dy/dx = 3x^2 - 6x . dy/dx = x(3x - 6) . At the turning points; x(3x - 6) = 0 (turning points occ...
RM
Answered by Robbie M. • Maths tutor
13823 Views

Calculate the derivative of the following function: f(x)=cos(3x))^2

The answer can be found by using the chain rule and simple substitution as well as basic knowledge of differentiation.f’(x)= -6cos(3x)sin(3x)
JM
Answered by Jeff M. • Maths tutor
5353 Views