Recent content by Myriadi

Yes, by n I meant k. I have actually never encountered the Cauchy condensation test until now. I was able to finish it. Thank you very much.

I am having difficulty determining whether or not the following sequence can be classified as convergent or divergent: ^{\infty}_{k=1}{\sum}\frac{1}{k^{ln(k)}} This can be simplified to: ^{\infty}_{k=1}{\sum}\frac{1}{e^{{ln(k)}^{2}}} Both the ratio test and root test are inconclusive...

12 can be represented in 4 bits: 1100 = 0*20 + 0*21 + 1*22 + 1*23 = 12

Actually, no integration is necessary here. An important concept to keep in mind is that the current is the rate of change of charge with respect to time. In other words to find an equation for the current, the only thing that you need to do is take the derivative of q(t). Since they are...

I managed to figure the problem out not too long ago. That is exactly what I decided to do. Thanks for confirming for me! Problem solved. :)

Given: G is the group of matrices of the form: 1 n 0 1 Where n is an element of Z, and G is a group under matrix multiplication. I must show that G is isomorphic to the group of integers Z. I do not know how to do this, since all examples we covered gave us the specific mapping...

Ah, I understand here. Thank you. Problem solved... err not really, but the topic can be closed.

But would we not just assume that the crate stops instantaneously?

Yes the slope has units! Slope = rise/run Since you are plotting force against mass, the rise in the graph is the change in force while the run is the change in mass. Therefore, slope= Force/Mass I am assuming that you are dealing with the SI system, which means force is measured in...

Homework Statement A 40kg crate is lifted by a poorly working hoist system that risks dropping the object, which breaks at forces exceeding 1000N. Find the maximum height to which the crate can be hoisted before it risks breaking if dropped. Homework Equations F=ma=mg U=mgh=(mv^2)/2...