A universal set U consists of 26 elements. If sets A, B, and C are proper subsets of U and n(U)equals=26, n(A intersect∩ B)=n(A intersect C)=n(B intersect C)=10, n(A intersect B intersect C)=4, and n(A union B union C)equals=22, determine each of the following.(a) n((A u B u C)') and (b) n(A' intersect B' intersect C).

Patty made a name tag in the shape of a parallelogram. reilly made a rectangular name tag with the same base and height. explain how the areas of the name tags compare.

(c) the diagram shows the first three shapes of a matchsticks arrangement.first shape = 3second shape = 5third shape = 7given m represents the number of matchstick used to arrange the n'th shape.(i) write a formula to represent the relation between m and n. express m as the subjectof the formula.(ii) 19 matchsticks are used to make the p'th shape. find the value of p.

Find the directions in which the function increases and decreases most rapidly at upper p 0p0. then find the derivatives of the function in these directions. f(x,y)equals=x squared plus xy plus y squaredx2+xy+y2, upper p 0p0left parenthesis 1 comma negative 4 right parenthesis