Recent content by ani9890

so I end up with this, d/dx[ye^(x^12)] = x^12*e^(x^12) and I'm supposed to integrate both sides, but the right side can't be integrated to give a elementary solution. So what should I do? I was thinking y(x)=e^(-x^12)(x^12)I where I stands for the integral of e^(x^12) , but I'm sure...

Find the general solution to the differential equation y'+(12x^11)y=x^12 Use the variable I= the integral of e^(x^12)dx where it occurs in your answer. According to some people, it doesn't have an elementary solution, look at...

Thank you, I redid the problem using y₂ = y₁ + m(x₂ - x₁) and got: t --- y 0 .. 6 1 .. 7.2 2 .. 8.64 3 .. 10.368 4 .. 12.4416 can you please check if this is correct? Thank you

Fill in the missing values in the table given if you know that dy/dt=0.2y. Assume the rate of growth given by dy/dt is approximately constant over each unit time interval and that the initial value of y is 6. Table: t-0-1-2-3-4 y-6-?-?-?-? (fill in the missing values where there is a...

Find area of surface obtained by rotating the curve, URGENT? Using Simpson's rule n=10, find the area of the surface obtained by rotating the curve y=x+sqrt(x), 1 less than or equal to x less than or equal to 2, about the x-axis. Include at least five decimal places in your answer. Area = ...

Write a partial sum for the power series, URGENT Consider the function ln(1+4x). Write a partial sum for the power series which represents this function consisting of the first 5 nonzero terms. For example, if the series were Sigma from n=0 to infinity of 3^nx^2n , you would write...

yes, that is the series I'm working with. And actually, I've redone the problem and edited my work above. Now I got a limit of 8/5 = 1.6 so the series diverges. Is this correct (did I calculate the limit correct)?

Ratio Test, SUPER URGENT, help? Consider the series ∑ n=1 to infinity of asubn, where asubn = [8^(n+4)] / [(8n^2 +7)(5^n)] use the ratio test to decide whether the series converges. state what the limit is. From the ratio test I got the limit n-> infinity of [8^(n+1+4)] / [(8(n+1)^2...

thank you for your help, so I just wanted to make sure, for my answers: 1. incorrect 2. correct 3. correct 4. incorrect 5. incorrect 6. correct is this okay?

for (1) 1/n^2 is actually greater than 1/ (n^2−1), for (4) if it diverges it should actually be asubn > bsubn not the other way around, and (5) the bsubn should be n/n^3 which becomes 1/n^2 for the (2),(3) 1/ n^p where p>1 so it converges which is correct, and for (6) n^p, here p=1 so it...

Series Comparison Test, URGENT help? Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter I (for...