Recent content by samona

what i meant is what is the reason that moving objects continue moving?

What makes objects in dynamic equilibrium move? It can't be gravity because then it would only be one force and if an object is under the influence of one force, then it cannot be in equilibrium. Any help would be appreciated.

Did look over it again. Your example really helped clear things up some more. Thank you so much!

Got it! I see what you mean. That example actually clicked...finally. Thanks so much!

that equals [a, b, a+b] which is in W. I see that it works, but what's confusing me is the R^3. Even though W is a subspace of R^3 shouldn't W need 3 vectors in order to be spanned? How come 2 vectors are able to span it when its in R^3? I wish they left out the R^3 and just put down R^2...

Thanks for the help. I just read this page like 100 times, and after reading your answer I read it again and missed an important detail. The book is describing a subset of R^3 where W = [a, b, a+b] is a subspace of R^3. I still don't understand why they claim that S1 spans W though.

I am reading my linear algebra book, and in the chapter on Spanning, I got the impression that for a set to span R^n, it must contain at least n vectors. I confirmed that by searching through the forums. However, I've reached the chapter on Linear Independence and in one of the examples it...

I meant the shadow of the moon tapers 1 moon diameter on the Earth during a solar eclipse. My physics book says that the Earth's shadow on the moon during a lunar eclipse also tapers 1 moon diameter. My physics book says that if the moon's shadow tapers 1 moon diameter on the Earth during...

If during a solar eclipse the moon tapers one moon diameter, wouldn't a lunar eclipse taper one Earth diameter?

Thank you! :smile:

Homework Statement Find the area enclosed by the line y = x-1 and the parabola y^2 = 2x+6 The Attempt at a Solution This is Example 6 in Jame's Stewart Calculus Early Transcentals 6E. I'm trying to figure out why he states that if we were to integrate with respect to x instead of y...

Got it! Thank you!

When it returns to the position it started out as, then the velocity should equal the initial velocity.

Homework Statement two balls are thrown from a cliff. one is thrown directly up, the other directly down, each with the same initial speed, and both hit the ground below the cliff. which ball hits the ground at the greater speed? The Attempt at a Solution I know the answer is that they...

you would need to do some algebraic manipulation. I'll start it out for you... 2cos(x/2) = 2 * ((1 + cosx)/2)^1/2 (half angle identity) = 4(1+cosx)/2 by squaring. Then multiply top and bottom by (1-cosx) and reduce to get (2(1-(cos x)^2) / (1-cosx) You will eventually get...