Recent content by Dannbr

Thanks for help

Homework Statement Trying to find relative min/max Homework Equations f(x,y)=X^4+y^4-36xy The Attempt at a Solution partial WRT(x) = 4x^3-36y partial WRT(y) = 4y^3-36x Set Partial WRT(x) = 0 4x^3-36y=0 4x^3=36y x=(9y)^1/3 plug x into Partial 4[(9y)^1/3]^3-36y=0...

No, copied question word for word. Thanks for taking a look at it.

Homework Statement In a recent high altitude experiment, some physics students used 1500 liter of helium to inflate a latex sounding balloon that would ascend to an altitude of over 30 km. what was the approximate diameter of the (assumed spherical) balloon after inflation? Homework...

yea, you are right. I posted the wrong problem g(x) g(x) should be ... g(x) = \frac{{4x}}{{{x^2} + 2x - 3}} Sorry.. this whole thing is screwed up

Homework Statement Find a power series for the function, centered at c, and determine the interval of convergence. g(x) = \frac{{3x - 8}}{{3{x^2} + 5x - 2}} Homework Equations The Attempt at a Solution g(x) = \frac{{3x - 8}}{{3{x^2} + 5x - 2}} Using PFD I came up with...

here it is: \sum\limits_{n = 0}^\infty {\left[ {\frac{1}{{{{\left( { - 3} \right)}^n}}} - 1} \right]} {x^n}

\begin{array}{l} \\ \mathop {\lim }\limits_{n \to \infty } \left| {\frac{{{x^{n + 1}}\left( {\frac{1}{{{{\left( { - 3} \right)}^{n + 1}}}} - 1} \right)}}{{{x^n}\left( {\frac{1}{{{{\left( { - 3} \right)}^n}}} - 1} \right)}}} \right| = \mathop {\lim }\limits_{n \to \infty } \left| {\left(...

so, 6! = 6*5*4*3*2*1 (n+2)! = (n+2)(n+1)(n)! (2n+2)! = (2n+2)(2n+1)(2n)! (500n+3)! = (500n+3)(500n+2)(500n+1)(500n)! Are all these statements correct?