Recent content by merced

Thanks, I got it!

Homework Statement Find the limit, if it exists, or show that the limit does not exist. lim_{(x,y)->(0,0)}[2x^{2}y/(x^4 + y^4)] Homework Equations The Attempt at a Solution Along the y-axis and the x-axis, the limit approaches 0. Along y = mx, the limit also appaches 0. So, it...

Thanks .

Homework Statement Fnd the limit, if it exists, or show that the limit does not exist. lim _{(x,y)--> (0,0)} [x^2/(x^2 + y^2)] Homework Equations The Attempt at a Solution If x = 0, then f(0,y) = 0. f(x,y) --> 0 when (x,y) --> (0,0) along the y-axis. If y = 0, then f(x,0)...

The same thing...I was thinking I had to add something. I couldn't remember what though. Thanks

Homework Statement Suppose that a wind is blowing from the direction N45ºW at a speed of 50 km/h. A pilot is steering a plane in the direction N60ºE at an airspeed of 250 km/h. Find the true course (direction) and ground speed (magnitude) of the plane. Homework Equations The Attempt at...

Ok, If I only can tell my professor before the next test! Thanks!

Homework Statement How much energy is required to move a 900 kg mass from the Earth's surface to an altitude 3 times the Earth's radius? Homework Equations \Delta U = GMm[\frac{1}{R_1} - \frac{1}{R_2}] G = 6.67 x 10^{-11} Nm^2/kg^2 R_1 = R_E = 6.37 x 10^6 m M = 5.98 x 10^{24} kg...

I haven't gotten to binomial expansions yet.

Umm...I don't think so. My professor did not cover this section in the detail I would have liked. I didn't quite understand everything in the section. Please tell me how to compute infinite series! :)

Yeah, I know that I'm supposed to use an infinite series...but my book only gives examples that are similar to e^x, sin x, cos x, tan^{-1}x, and 1/(1-x)...so I can't really think of what to do. \int{\sqrt{x^3 +1}} is not similar to any of those, except maybe the integral of tan^{-1}x.

1. Homework Statement Evaluate the indefinite integral as an infinite series. \int{\sqrt{x^3 +1}} Homework EquationsTaylor Series: f(x) = \Sigma_{n=0}^{inf} \frac{\f^{n}(a)}{n!} (x-a)^n Maclaurin Series --> taylor series with a = 0 The Attempt at a Solution I have no idea...

"Two balls of the same mass approach each other with a relative velocity of 10 m/s, what is their relative velocity after the collision, which is presumed elastic?" I assumed that the balls have equal and opposite velocities of 10 m/s. Should the individual velocities be 5 m/s and -5 m/s...

Thank you!

When I make y = ln(1 - 1/n^2)..then the limit of y = 0 which yields no conclusion about the series.