Let the universe for both variables x and y be the set {1, 2, 3, 4, 5, 6}. Let p(x,y) = "x divides the sum x + y". Give the truth value of the indicated statement; explain your answer, and give a counterexample in case the statement is false.?x ?y p(x, y)

What will be an ideal response?


True; for any x, let y = x, then x + y = 2x, and x divides 2x.

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = sin 3yi + cos 7xj; C is the rectangle with vertices at (0, 0), , and 

A. - ?
B. - ?
C. ?
D. 0

Mathematics

Solve the problem.A machine can fill 7676 cartons of milk in 0.8 hour. How many cartons of milk can it fill per hour?

A. 6141 cartons B. 9595 cartons C. 8529 cartons D. 7677 cartons

Mathematics

Simplify the expression. Assume that all variables are non-negative.

A.  
B. x5y2z5
C. x10y2z10
D.  

Mathematics

Simplify.-(-2)5

A. -32 B. 3 C. -10 D. 32

Mathematics