Determine whether the given function satisfies a Laplace equation.f(x, y, z) = 8x2 - 2y2 - 6z2

A. No
B. Yes


Answer: B

Mathematics

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For the curve r(t), write the acceleration in the form aTT + aNN.r(t) = (cosh t)i + (sinh t)j + tk 

A. a = (-  sinh t)T + N
B. a = (sinh t)T + N
C. a = (-sinh t)T + N
D. a = ( sinh t)T + N

Mathematics

Solve the variation problem.The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container  on a side is 250 grams, find the weight of the liquid in a cubical container 3 cm on a side.

A. 27 grams B. 12 grams C. 6 grams D. 54 grams

Mathematics

Use set-builder notation to write the set.The set of all odd integers greater than 4 and less than 16

A. {6, 8, 10, 12, 14, 16}
B. {5, 7, 9, 11, 13, 15}
C. {4, 6, 8, 10, 12, 14, 16}
D. {x  is an odd integer greater than 4 and less than 16}

Mathematics

Name the property illustrated by the statement.24 + (5 + 10) = (24 + 5) + 10

A. commutative property of addition B. associative property of addition C. identity element for addition D. distributive property

Mathematics