Which property or identity justifies the statement?If  < , then  +  <  + .

A. Trichotomy Identity
B. Transitive Property
C. Addition Property
D. Density Property


Answer: C

Mathematics

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Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = (-y - ey cos x)i + (y - ey sin x)j; C is the right lobe of the lemniscate r2 = cos 2? that lies in the first quadrant.

A. 0
B.
C. 1
D.

Mathematics

Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = -2 and b = -1f(x) = 4x3 - 7x + 4

A. f(-2) and f(-1) have opposite signs, therefore f has a real zero between -2 and -1. B. f(-2) and f(-1) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between -2 and -1. C. f(-2) and f(-1) have opposite signs, therefore f does not have a real zero between -2 and -1. D. f(-2) and f(-1) have the same sign, therefore f does not have a real zero between -2 and -1.

Mathematics

Find the inverse of the function and state its domain and range .

A.

D: {3000}
R: {15}
B.

D: {3000, 12,000}
R: {15, 35}
C.

D: {3000, 4000, 8000, 12,000}
R: {15, 20, 25, 35}
D.

D: {15, 20, 25, 35}
R: 3000 4000, 8000, 12,000}

Mathematics

Solve the equation.x - 3 = x + 5

A.
B.
C.
D.

Mathematics