Evaluate the line integral ∫cf⋅dr, where f(x, y,z)=2sinxi+cosyj+3xzk and c is given by the vector function r(t)=t4i−t3j+t2k , 0≤t≤1.

Interest begins accruing the date of the transaction except for auto loans mortgages credit card cash advances credit card purchases

James wants to promote his band on the internet. site a offers website hosting for $4.95 per month with a $49.95 startup fee. site b offers website hosting for $9.95 per month with no startup fee. for how many months would james need to keep the website for site a to be a better choice than site b?

An art teacher made a copy of a small painting. to make the painting easier to see the teacher enlarged the area of the painting by 49%. let y respresent the area of the original painting. the expression below is one way to resperesnt the area of the new painting. find two equivalent expressions that would give the area of the new painting y+0.49y