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Given y = 3x^(1/2) - 6x + 4, x > 0. 1) Find the integral of y with respect to x, simplifying each term. 2) Differentiate the equation for y with respect to x.

  1. When integrating remember the general rule: x^n --> x^(n+1)/(n+1). Now look at each term separately. 3x^(1/2) --> 3x^(3/2)/(3/2) = 2x^(3/2)-6x --> -6x^(2)/2 = -3x^24 = 4x^(0) --> 4x^(1)/...
SO
Answered by Scott O. Maths tutor
3107 Views

What is meant by 'dissipated energy'?

In a system, we can transfer energy from an energy store into one or more useful forms of energy, however this process is not 100% efficient and some energy is wasted as ...

DM
Answered by Daniel M. Physics tutor
4544 Views

Which articles exist in the German language and how do I decline them?

In the German language, there are three articles, namely der (male), die (female) and das (neutral). These articles have to be changed according to the 4 different cases which might follow from various ve...

SF
Answered by Sophie F. German tutor
1507 Views

Why is space important in Chopin's 'Story of an Hour'?

Space is fundamental in Chopin's 'Story of an Hour', as the narrative constructs on the opposition between inside and outside. The news of Mr Mallard's death is brought into the domestic, private space by...

CS
Answered by Claudia S. English tutor
2523 Views

solve the differential equation dy/dx=(3x*exp(4y))/(7+(2x^(2))^(2) when y = 0, x = 2

Move y terms to the left hand side and the keep the x terms on the right hand side: dy*(1/(exp(4y))) = dx*(3x/(7+2x^(2))^(2))
First, solve the right hand side by using a substition: u = 7 + 2x^(...

Answered by Maths tutor
4113 Views

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