Recent content by MoarGrades

Got it. thanks.

What do you mean? Isn't the integral of a positive function from a to b the area under it? Or if you describe that function as velocity, isn't the integral the displacement?

Because isn't an integral supposed to represent the area under a curve? How can the area be smaller than the value of the function for a positive function? For example, wouldn't this integral mean that someone running at a speed of (t^3)(e^t^2), at time t, travels a distance of...

So if you graph f = (x^3)(e^x^2) and F = (1/2)(e^x^2)(x^2-1), its integral, from 0 to 1, F starts out much larger than f, and then f become starts growing much much faster than F. Shouldn't F be the one growing the fastest, as it's supposed to be the area under f? Why does F grow slower...

Wouldn't pi*(c-sin(x))^2 work in this case? -- the area is being revolved around c, and the distance from c to the curve of sin(x) is |c-sin(x)|. So choosing |c-sin(x)| to be R, would make the integral pi*R^2. |c^2-Sin(x)^2| would be the area under sin(x). This is the figure he drew in...

I think I know what I have to do. The radius of the figure will essentially be the absolute value of c-sin(x), so the integral is just pi*(c-sin(x) )^2. That's how you get the shape he drew on the board when I asked. ... I think the question could have been worded differently, or at least...

That's part (a) (and the max) :smile: I guess I'll go head and do it with the intercepts. An answer is an answer right?

I copied that from my assignment. When I asked him, he said the volume will look like a candy wrapper. Which is what happens if I find the sin(x) intercepts with c, and take the areas either under c when c > sin(x), or under sin(x) when sin(x) > c. But he said that this is not to be done...

Homework Statement The arch y= sin(x), x is in [0, pi], is revolved around the line y=c, where c is a constant in [0, 1], to generate a solid... Anyway, then I have to represent the volume of the solid as a function of c and other stuff. Homework Equations The Attempt at a Solution...

Hm, I guess I'll have to wait and see. This gives me some hope, as I always do well with proofs in assignments. Thanks.

I've thought about this, but I feel silly asking, given my marks. I'm in Hamilton, but I go to Brock. The program I'm in is new I think... well, everything is. Brock's going through a major overhaul. Every semester the campus looks different from how much construction is going on. A...

@twofish-quant Here the letter you get is always the same for any given percentage. I don't know how much they curve marks. I've overheard one teacher say that if one of her student's marks improve over time, she'll make their latter marks weigh more. My Calc II teacher this semester chooses...

I'm in Canada. Here in ontario, 60-69 is C, 70-80 is B, and A is 80+. http://en.wikipedia.org/wiki/Grade_(education)#Ontario" I'm always above average, but not by much. They usually make it so that class average hovers around 63-65. (And the honours program requires an average of at least...

Very long story short: I was diagnosed with bipolar and general anxiety. Now I take lithium and perphenazine, and the Dr. told me to take proparanolol before engaging in social situations or stress situations (like exams). I've noticed it makes me less nervous, certainly... but it doesn't seem...

Here's the thing, I understand the material. Whenever someone is confused about something, I can help them understand it. Sometimes I'll derive the proofs right then and there and show him why something works. Because I know why it works. Whenever the professor asks "that question": the one...