Write the following surds in exponential form square root of 2

Use stokes' theorem to evaluate c f · dr where c is oriented counterclockwise as viewed from above. f(x, y, z) = xyi + 5zj + 7yk, c is the curve of intersection of the plane x + z = 8 and the cylinder x2 + y2 = 81.

What is an equation of the line that is perpendicular to y=-x+3 and passes through the point (4, 12)? enter your equation in the box. basic

Aproportional relationship between the number of pounds of carrots (x) and the price in dollars (y) is graphed, and the ordered pair (8, 6) is on the graphed line. part a: what is the price of 1 pound of carrots? show your work. (8 points) part b: what will the ordered pair (16, 12) on the graph represent? explain in words.