Recent content by nepenthe

hello..could you please help me to solve this problem? Along what curve of the family y=x^n does the integral int{(25xy-8y^2)dx} attain its largest value? and the boundaries for the integral is from (0,0) to (1,1) thank you..

First, because I couldn't solve this ploblem, I am here.. I know what orthogonal means..I wrote equations for dot product..But I have no idea how to show there are unique scalars? or why there are unique scalars x,y, and z??

hello..I thought about using dot product.But I couldn't apply to this problem..and I think the main problem is that I can't imagine this question in my head.. could you please give me the solution(just to understand the the process)..and also solution methods for these "show that or prove that"...

orthogonal vectors Hello..Can someone help me with the following question? Let F,G, and Z be nonzero vectors, each orthogonal to other two..Let A be any vector.Show that there are unique scalars x,y, and z such that A=xF+yG+zH. Thank You..