Use Stokes' Theorem to find begin display style integral subscript C bold F times d bold r end style where bold F (x comma y comma z )equals open angle brackets negative z comma x comma negative x y close angle brackets and C is curve of intersection of the plane y plus z equals 3 and the cylinder x squared plus y squared equals 1, oriented counterclockwise when viewed from above.

Identify the converse of the following conditional: if a point is in the first quadrant, then its coordinates are positive. if the coordinates of a point are not positive, then the point is not in the first quadrant. if the coordinates of a point are positive, then the point is in the first quadrant. if a point is in the first quadrant, then its coordinates are positive. if a point is not in the first quadrant, then the coordinates of the point are not positive.

Amanager recorded the number of bicycles sold by his company each quarter. his projected sales after t years is given by the expression below. which of the following statements best describes the expression? a. the initial sales of 575 bicycles increases at the rate of 4% over 4 quarters. b. the initial sales of 575 bicycles increases at the rate of 18% over 4 years. c. the initial sales of 575 bicycles increases at the rate of 4% over t quarters. d. the initial sales of 575 bicycles increases at the rate of 18% over t years.

Solve for x where 0 equation: cot^2x+2cotx+1=0