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Differentiate: f(x)=(ax^2 + bx + c) ln(x + (1+x^2)^(1/2)) + (dx + e) (1 + x^2)^(1/2). Hence integrate i) ln(x + (1 + x^2)^(1/2)), ii) (1 + x^2)^(1/2), iii) x ln(x + (1 + x^2)^(1/2)).

Differentiate equation: f'(x) = (2ax + b) ln(x + (1+x^2)^(1/2)) + ((a + 2d)x^2 + (b + c)x + (c+d)) (1 + x^2)^(-1/2). Select correct values for constants to get: i) x ln(x + (1+x^2)^(1/2)) - (1 + x^2)^(1/2) +...
ME
Answered by Morgan E. • STEP tutor
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Explain how Giraffes may have evolved to have long necks.

There would be variation in the length of necks in the early giraffe population. Those who had longer necks would have an advantage for survival as they would be able to reach higher into the trees to feed. ...
IB
Answered by Imogen B. • Biology tutor
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How should I include critical viewpoints in my essay?

Critics can be very difficult to engage with effectively. The best way to go about responding to a critic is by understanding how it fits into the familiar PEA/PEE (Point Evidence Analysis/Explain) formula. ...
JH
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Describe and Evaluate Marxist Views of the Family.

Marxism views family as an institution to advance capitalism and maintain its needs. Engles argues that originally we lived in ‘promiscuous hordes’ and the family was only created as a capitalist concept to ...
JM
Answered by Jack M. • Sociology tutor
29666 Views

Evaluate the theory 'Red and Blue America'.

Red and Blue America is a theory developed by Caesar and Busch to describe the polarised nature of the American political system, not only depicting the specific ideologies of states but characterising them ...
JM
4086 Views