The scalar function div(grad f) = ? ? ? f (also written ?2f) is called the Lapalacian, and the function f satisfying ?2f = 0 is said to be harmonic. ?2f = fxx + fyy + fzz. Find ?2f for the following function and decide if it is harmonic.f(x, y, z) = 4x2 - y2 - 3z2
A. harmonic
B. not harmonic
Answer: A
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Find the absolute and relative errors.Your weight is 107 pounds but the scale indicates that it is 103 pounds.
A. absolute error: 4 pounds relative error: 3.7% B. absolute error: -4 pounds relative error: -40% C. absolute error: -4 pounds relative error: -3.9% D. absolute error: -4 pounds relative error: -3.7%
Which property or identity justifies the statement?If src="https://sciemce.com/media/4/ppg__tttt0615190958__f1q47g7.jpg" style="vertical-align: -17.0px;" />.
A. Distributive Identity
B. Density Property
C. Transitive Property
D. Multiplication Property
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Find the whole.81 acres is 132% of what number of acres?
A. 610 acres B. 17,400 acres C. 174 acres D. 61 acres
Find the amount that results from the investment.$1,000 invested at 8% compounded semiannually after a period of 12 years
A. $1563.3 B. $2464.72 C. $2563.30 D. $2518.17