Find the unit tangent vector T and the principal unit normal vector N for the following parameterized curve. verify that T= N = 1 and T. N = 0
a) r(t) = <10 cos t^2, 10 sin t^2> for 0 b) r(t) =

An alien has just landed from the planet, iksnimak. he would like to leam how to add two fractions when thedenominators are the same. write a paragraph that explains to our alien friend, in your own words, the detailsabout how to add the fractions, how to change the result to a mixed number, and how to reduce the fractionpart. use this problem as your example: the two fractions are 5/8 & 7/8

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? define a variable for the situation. write an inequality that represents the situation. solve the inequality to find out how many months he needs to keep the website for site a to be less expensive than site b. using words, describe how many months he needs to keep the website for site a to be less expensive than site b.

What is the reflection image of (5,-3) across the line y = -x?