[FRENCH 227] - Final Exam Guide - Ultimate 36 pages long Study Guide!

Exam 3 Review Sheet #2 Math 101 Fall 2017 Problem 6. Suppose (a) If f(x) gh(x)), and ha)-V+3, what is g(x)? () I))ae), what ie)? (e) I) +2, what is J(w()(Note: This part is difereat than parts a and b) Problem 7. Create a table for the function qx) gf(x) based on the table below

0 Consider the transofrmation T : R3-+ R3 that projects vectors onto the line l-Jo | + țJo . IE R (a) Find a formula for Tand prove that T is a linear transformation. (b) Find matrix A, asssociated with T (c) Determine the relationship between the row space of A row(A) and the line l (d) Determine the null space, Null(A).

4) (7 pts) Verify that y = e-r Sco (2x)- 6 sin(2x)is a solution of the differential equa a +y =-3 cos(2x) 5) (3 pts) This picture represents several solutions of the differential equation ie given. | y(r2 t v) = C | . Find the particular solution