Recent content by alexk307

very helpful, thanks for the walkthrough!

oh okay so a=bq and b=ar solving for then rq=1. So I had the right idea, but I can't say that they're both able to be divided by the same integer, but that rq=1 and then r and q both equal 1, so a=b and b=a.

just got it I think. because q*q = 1, q must equal 1. Therefor a = bq and b = aq can be reduced to a=b and b=a.

Okay, so if a divides b, then a = bq, where q is the multiplier, also there is no remainder. so I see that a = bq and b=aq solving for q... q^2=1 and q=1 I don't know if I'm onto anything by saying q*q=1, and the lemma are related.

okay so, I assumed that a and b are both integers and that a/b = 1. Should I also assume that c*d=1 according to the lemma that if cd=1 then c and d are 1?

Oh man, that's embarrassing... Thanks

Homework Statement Using the lemma below, prove that if two integers divide each other, then they are equal Lemma: If the product of two integers is 1, then the integers each equal 1. Homework Equations The Attempt at a Solution Very lost here, I can format the proof but I...

oh! okay so that sqrt(5) is beyond the interval therefore proving that there is only one root in [-2,2]. Thank you

Homework Statement Show that the equation x3-15x+C=0 has at most one real root in [-2,2] Homework Equations Rolle's Theorem, and Intermediate Value Theorem. The Attempt at a Solution I showed that there is a root in [-2,2] by use of Intermediate Value Theorem. f(-2)<0 f(2)>0...

Homework Statement lim h->0 [(11+h)^-1 - 11^-1]/h Homework Equations The Attempt at a Solution I made the numerator into two fractions with the denominator h. After combining the fractions in the numerator I was left with 121 when I put in 0 for h.

I'm having a hard time understanding basic electromagnetic induction through wire loops. I can usually find out the EMF, but then I have a hard time finding the current in the loops. General advice on the matter would be extremely helpful. Thanks.

An asteroid is orbiting around the sun at a distance of 4.2x 1011 m. If the Earth orbits around the Sun at a distance of 1.5 x 1011 m with a period of 3.2 x107 s, what is the period of the asteroid? Im thinking it was 9.0 x 10^7 s ? (4.2x10^11)^3/(t^2) = (1.5x10^11)^3/(3.2x10^7)^2 I'm...

use kepler's laws. R^3/T^2 is always constant when orbiting the same parent body.

Homework Statement Device requires a terminal voltage of 12 volts and a current of 2 Amps. Design a circuit using as many 3 ohm resistors as needed to properly power this device. The EMF is 24 Volts. Homework Equations Ohm's law: V=IR The Attempt at a Solution I know how to find...

so the transition from college algebra to calculus is possible. What are some of the vital components of pre-calculus that college leaves out? So that I could possibly brush up on those before taking Calculus 1.