There are 17 marbles in a bag; some are red, some are blue. The number of red marbles is 3 less than 4 times the number of blue marbles. How many marbles are red? How many are blue? WRITE AND SOLVE a system of linear equations to find how many red and blue marbles there are.

Find a parametrization for the curve「and determine the work done on a particle moving along γ in r3 through the force field f: r^3--r^3'where f(x, y,z) = (1,-x, z) and (a) im (γ) is the line segment from (0,0,0) to (1,2,1) (b) im (γ) is the polygonal curve with successive vertices (1,0,0), (0,1,1), and (2,2,2) (c) im (γ) is the unit circle in the plane z = 1 with center (0,0,1) beginning and ending at (1,0,1), and starting towards (0,1,1)