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Make x the subject of 3y + 2x = 6y - x/2

Multiply whole equation by 2

6y + 4x = 12y - x

Take 6y from both sides

4x = 6y - x

Add x to both sides

5x = 6y

divid both sides by 5

x = 6/5(y)

Answered by Ben P. • Maths tutor

3870 Views

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)) - ...

Answered by Morgan E. • STEP tutor

3640 Views

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...

Answered by Imogen B. • Biology tutor

4570 Views

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) formul...

Answered by James H. • English Literature tutor

6526 Views

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 ...

Answered by Jack M. • Sociology tutor

29357 Views