Determine whether the statement is true or false.If the least common multiple of p and q is smaller than pq, then p and q have a common factor other than 1.

A. True
B. False


Answer: A

Mathematics

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Evaluate the integral.

A. 2 sinh  + C
B. 8 sinh  + C
C. 4 sinh  + C
D. 2 sinh  + C

Mathematics

Replace the Cartesian equation with an equivalent polar equation.x2 - y2 = 4

A. r cos 2? = 4 B. cos2? - sin2? = 4r C. cos2? - sin2? = 4 D. r2 cos 2? = 4

Mathematics

Provide an appropriate response.Determine the critical points of f(x, y) = 4x2 + 2x - y2 + 2y and also determine by the second-derivative test whether each point corresponds to a relative maximum, to a relative minimum, to neither, or whether the test gives no information.

What will be an ideal response?

Mathematics

Write the symbolic representation for f(x, y) given that f computes the indicated inequality.Five times the sum of x and y

A. f(x, y) = x + 5y B. f(x, y) = 5(xy) C. f(x, y) = 5(x + y) D. f(x, y) = 5x + y

Mathematics