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integral of (tan(x))dx using the substitution u = cos(x)

given u = cos(x), therefore du/dx=-sin(x), as tan(x)=sin(x)/cos(x), can rewrite tan(x)=(-du/dx)/u, therefore integral can become [(-1/u)du], after inegrating you are left with -ln(u)+c, therefore ln(1/u)+...

Answered by Frederick R. Maths tutor
3864 Views

f(x) = x^x, find f'(3).

Therefore, y = xxcan then natural log both sides leaving ln(y) = xln(x) then differentiating both sides wrst to x d/dx(ln(y)=xln(x))we are then left with this expression (dy/dx)(1/y)=ln(x)+1 mu...

Answered by Frederick R. Maths tutor
2291 Views

A 10 kilogram block slides down a 30 degree inclined slope, the slope has a coefficient of friction of 0.2. Calculcate the blocks acceleration down the slope.

Resolving all forces in the vertical gives the normal force as 10gcos(30). Resolving all forces normal to the slope gives the frictional force as 2gcos(30) (given Friction = mu*R). Using second law, F=ma....

Answered by Frederick R. Maths tutor
2543 Views

Vous écrivez un article sur la santé des jeunes. Vous devez mentionner ce que vous mangez et buvez, vos méthodes pour rester en forme et votre opinion sur le tabac, et sur l'avenir de la santé des jeunes.

En ce qui concerne la santé et le bien-être, on ne peut pas sous-estimer l'importance d'une routine quotidienne. Pour cette raison, j'essaie de maintenir un régime stricte chaque jour de légumes, poulet e...

Answered by Oliver L. French tutor
1952 Views

Taking the IS-LM and AS-AD relationship, show the shifts in the curves and explain the changes variables such as output, exchange rate, employment and price level following a decrease in interest rate.

A decrease in interest rate results in an increase in demand for real money balances, which accelerates spending, as well making investment desirable that further increases the output. This can be demonst...

Answered by Economics tutor
1041 Views

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