Determine whether the given function satisfies Laplace's equation.f(x, y) = 
A. Yes
B. No
Answer: B
Mathematics
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Solve the problem.For the triangle with vertices located at A(5, 3, 5), B(2, 2, 2), and C(1, 1, 1) , find a vector from vertex C to the midpoint of side AB.
A. i +
j +
k
B. i +
j +
k
C. i +
j +
k
D. i +
j +
k
Mathematics
Find the product.(7a + 8c)(7a - 8c)
A. 49a2 - 112ac - 64c2 B. 49a2 - 64c2 C. 7a2 - 8c2 D. 49a2 + 112ac - 64c2
Mathematics
Determine between which two consecutive whole numbers each square root lies.
A. 4 and 5 B. 8 and 9 C. 3 and 4 D. 5 and 6
Mathematics
Find the length of the third side of the right triangle. Where appropriate, give both an exact answer and an approximation to three decimal places.
A. ? 12.530
B. ? 6.856
C. = 78.5
D. 157
Mathematics