Use the integral test for the 1st problem to see if it converges
It's better to compare :
As n approaches infinity, 2k+5 ~ k and sqrt(3k²-1/2) ~ k^(3/2)
Therefore, (2k+5)/sqrt(3k²-1/2) ~ k/k^(3/2)=1/k^(1/2)
By comparison with the Riemann series, since 1/2<1, the series is not convergent.
Implicit differentiation, do you know it ?2 I have to obtain the expression of dy/dx for the following function
3xy - 2x^2y + y^3 =0
This is the equation of an ellipse, which is x²/a² + y²/b² = 13 5x^2 + 3y^2 = 16
The x radius is \sqrt{5} ?
Thanks
So transform it like it should be.