Determine whether the given function satisfies a Laplace equation.f(x, y, z) = 10x2 - 4y2 - 6z2
A. Yes
B. No
Answer: A
Mathematics
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By calculating an appropriate number of terms, determine if the series converges or diverges. If it converges, find the limit L and the smallest integer N such that 
for 
otherwise indicate divergence.an = (1 + 0.153/n)n
A. L ? 1.1653, N = 6 B. L ? 1.153, N = 6 C. L ? 1.1653, N = 2 D. diverges
Mathematics
Find the first four nonzero terms in the Maclaurin series for the function.f(x) = sin x cos x
A. x - 
x3 + 
x5 - 
x7 + . . .
B. x + 
x3 - 
x5 + 
x7 + . . .
C. 1 + x - 
x2 - 
x3 + . . .
D. x - 
x3 + 
x5 - 
x7+ . . .
Mathematics
Solve for x.42x + 1 = 64
A. x = -1 B. x = 16 C. x = 4 D. x = 1
Mathematics
Use a calculator to write the expression as a decimal rounded to three decimal places.
A. 30.667 B. 3.097 C. 9.592 D. 4.514
Mathematics