Determine whether the statement is true or false.The intersection of the sets { x ? 13} and { x < 13} is {13}.

A. True
B. False


Answer: B

Mathematics

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Determine convergence or divergence of the series.

A. Diverges B. Converges

Mathematics

Solve the problem.The slope to the tangent line of a curve is given by  If the point (0, 3) is on the curve, find an equation of the curve.

A. f(x) = x3 - 12x2 + 9x + 1
B. f(x) = x3 - x2 + 9x + 1
C. f(x) = x3 - x2 + 9x + 3
D. f(x) = x3 - 12x2 + 9x + 3

Mathematics

Determine whether the syllogism is valid or invalid.All astronauts are healthy.Lawrence is not healthy. ? Lawrence is not an astronaut.

A. Invalid B. Valid

Mathematics

Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y) = xey - ln(x), P0(3, 0)

A.  i
B.  i +  j
C.  i +  j
D.  i +  j

Mathematics