Chapter 1.2, Problem 66EQ

Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are linearly dependent in the vector space C[0,1], but linearly independent in C[1,1].

Use a formula to express w as a function of t if  w =    4s + 9  and s = et − 1.  w =

The function g(x, y) has tangent lines at the point (1, 2) with directions and . Find Vg (1, 2). Write your answer using the greater and less than symbols for brackets, a comma, numbers, and no spaces. (e.g. )