How many passwords of 5 characters can be made if each password must start with two digits and end with three letters. The digits will be with replacement and the letters will be without replacement.

Find the condition that the zeros of the polynomial f(x) = x^3+3px^2+3px+r may be in a.p.

Which expressions equal 9 when x=4 and y=1/3 a. x2+6y b. 2x + 3y c. y2-21x d. 5 (x/2) -3y e. 3x-9y

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.