Evaluate the line integral by the two following methods. ∫ xy dx + x^2y^3 dy

C is counterclockwise around the triangle with vertices (0, 0), (1, 0), and (1, 4)

a. directly
b. using Green's Theorem

What is the value of  y  in the solution to the system of equations? x  +  y  =  12x  –  3y  =  –30a. –8b. –3c. 3d. 8

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function

What are the excluded values? m+5/mn+3m