Recent content by haflanagan

Homework Statement To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 5.0 x 10^3 kg/m3. What fraction of the...

Ahh okay that makes sense! Thanks! Well...at least if I make an educated guess I will probably be able to get a least partial credit...

Okay well the answer to that last one should be (-1)^n * (x-4)^n / 3^(n+1) I get the (-1)^n (because the signs are alternating) and I get the (x-4)^n. But what I do not get is where the 3^(n+1) is coming from. Also, how do you know when do use (-1)^n and when to use (-1)^(n+1)? What's the...

My bad...I actually did get sin(x)! Okay, maybe I should be more specific. f(x) = 1/(x-1), x0=4 f'(x) = -1/((x-1)^2) f"(x) = 2/((x-1)^3) f'''(x) = -6/((x-1)^4) Plugging in 4: f(x) = 1/3 f'(x) = -1/9 f"(x) = 2/27 f'''(x)=-6/81 So the taylor series is 1/3 + -(x-4)/9 + 2(x-4)^2/54 +...

Homework Statement My Calc II final is tomorrow, and although we never learned it, it's on the review. So I have a few examples. Some I can figure out, some I cant. Examples: f(x)=sinh(x), f(x)=ln(x+1) with x0=0, f(x)=sin(x) with x0=0, f(x)=1/(x-1) with x0=4 The only one of those that I was...