Find the average value of the function f over the region R.f(x, y) = e3x; 0 ? x ? , 0 ? y ? 

A.
B. 2e - 1
C. e - 1
D.


Answer: C

Mathematics

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Use properties of exponents to simplify the expression. Express answers in exponential form with positive exponents only. Assume that any variables in denominators are not equal to zero.(-5x2y-4)(2x3y-2)

A.
B.
C.
D.

Mathematics

Let p represent the statement, "Jim plays football", and let q represent "Michael plays basketball". Convert the compound statements into symbols.It is not the case that Jim does not play football and Michael does not play basketball.

A. ~(~p ? ~q) B. ~p ? ~q C. ~(p ? q) D. ~(~p ? ~q)

Mathematics

Sketch the graph of the pair of functions. Use a dashed line for g(x).f(x) = x3 , g(x) = (x + 4)3

A.

B.

C.

D.

Mathematics

Obtain an equivalent system by performing the stated elementary operation on the system.Interchange equations 1 and 3.4x + 4y + z = -12x - 5y - z = 163x  + 5z = 18

A. 3x  + 5z = 18 2x - 5y - z = 16 4x + 4y + z = -1 B. 2x - 5y - z = 16 4x + 4y + z = -1 3x  + 5z = 18 C. 3x  + 5z = 18 4x + 4y + z = -1 2x - 5y - z = 16 D. x + 4y + 4z = -1 2x - 5y - z = 16 3x  + 5z = 18

Mathematics