Recent content by turbokaz

I'm changing my mind. First one diverges because the cosine will oscillate between -1 and 1. The second one converges because it will always go to 0?

Homework Statement Ʃ cos^2(n)/(n^2+8) Ʃ 5n/(n^2+1) * cos(2πn) Homework Equations The Attempt at a Solution I think that both series diverge. Can anyone validate this or tell me if I'm wrong?

Homework Statement Find all values of x for which the series Ʃ (4x+5)^n/2^n converges. (n=0; n→∞) Answer choices: (3/4,-3/4) (3/4,7/4) (-7/4,7/4) (-5/4,5/4) (-7/4,-3/4) Homework Equations The Attempt at a Solution I think the answer is -7/4,-3/4. If I remember correctly...

Homework Statement Reverse the order of integration? Original has it in the form of dy dx, 0<=x<=ln6, 1<=y<=e^x. I made it dx dy, with 1<=x<=e^y, 0<=y<=ln6 Is this right? Homework Equations The Attempt at a Solution

Homework Statement Evaluate the integral. Integral = x f(x) dx from 0 to 1 when f(1) = 6, f'(1) = 7. Answer choices: A. 11/6 + 1/6 integral from 0 to 1 x^3f''(x)dx B. 11/12 - 1/6 integral from 0 to 1 x^3f''(x)dx C. 11/3 + 1/2 integral from 0 to 1 x^2f'(x)dx D. 11/3 - 1/2 integral from 0 to 1...

Homework Statement Find the area bounded by the graph f(x)=2x^2, point P(1, f(1)), and the x axis. Homework Equations The Attempt at a Solution Point P is a point on a line that is tangent to y=2x^2. So I used this to figure that the line is 4x-2. So now there are two functions...

Nevermind. I understand the problem now. The answer is 11.

Bump...I'm still not getting anywhere

F(b)-F(a)? F(b) is 1, F(a) is 2. 1--2=3?

Homework Statement http://tinypic.com/view.php?pic=1xa2f&s=5 (this shows the graph that is related to the problem) is the graph of an anti-derivative, F, of a function f, use this graph to determine the value of I=∫ from 0 to 8 |f(x)|dx. value of the definite integral Homework Equations...

Homework Statement Oil is flowing from a well in a continuous stream at a rate of f(t) =54/(t + 3)^2 barrels per month (in multiples of 100). Find the total oil produced by the well in its second three months of operation. Homework Equations The Attempt at a Solution Answer choices are 300...

Homework Statement For which integral, is the below example, a Riemann sum approximation.? The example is: 1/30( sqrt(1/30) + sqrt(2/30) + sqrt(3/30)+...+sqrt(30/30)) A. Integral 0 to 1 sqrt(x/30) B. Integral 0 to 1 sqrt(x) C. (1/30) Integral 0 to 30 sqrt(x) D. (1/30) Integral 0 to 1...

I don't know why I was being so sloppy. You're right, after round 1 I should have that in the denominator, giving way to 0/0 again. Taking the derivative of top and bottom again leads to (7/(x-2)^2)/ 1/(x-2) + 1/(x-2)^2. Plugged in 3 and got the 7/2. I don't know why my work was so messy but...

From the original equation then. After cross multiplying, I plug in and get 0/0. After round one of L'hopitals, I get (7-(7/(x-2)))/ln(x-2)(x-3). Plug 3 in and get 0/0 again. Derivative of the top gives me (7/(x-2)^2) because 7 goes to 0 and by quotient rule of the second term. I used the...

okay, I see that I should have gotten 0/0 a second time. But I do L'hopital's again and get (7/(x-2)^2)/ln(x-2)+(x-3/x-2) which after plugging in 3 gives me 7/0.