MATH 1LT3 Lecture 15: Moduli Spaces 7.5

3. (12 pts) Consider the following graph. no ex (a) State the domain. (b) State the range. -(c) State the y-intercept(s). (c) State the x-intercept(s).

1. (10 pts) Use the Taylor series formulation (compute on directly) to find the series ex- pansion centered at a 0 for () (1+2)-1. Write the sigma notation version and the first 4 nonzero terms

Consider the vector field F-(ex cos y + yz, xz-e'siny, xy + z) defined on R3 (a) Show that F is conservative. (b) Find a potential function for F (c) Compute . F dr, where C is a curve from the point A(0, 0, 1) to the point B(0, 1,2) (4 pts) 3.