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) = (x3 + y2 + z)2
A. harmonic
B. not harmonic
Answer: B
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The following table shows the running speed R, in feet per second, of animals of length L, in inches. Use linear regression to model R as a function of L. L 3.5 6.3 9.4 9.8 R 8.22 15.79 24.01 24.93? ?
A. 
B. 
C. 
D. 
Decide if the set of ordered pairs does or does not represent a function.{(-6, -3), (-1, -5), (1, 7), (6, 5)}
A. Yes B. No
Rewrite the sentence using scientific notation.The conservation center rescued an injured bat weighing 0.0058 kilograms.
A. The conservation center rescued an injured bat weighing 5.8 × 10-2 kilograms. B. The conservation center rescued an injured bat weighing 58 × 10-4 kilograms. C. The conservation center rescued an injured bat weighing 5.8 × 10-3 kilograms. D. The conservation center rescued an injured bat weighing 5.8 × 10-4 kilograms.
A particle moves with position function r(t) = (21t- 7t³ - 6)i+21t²j.
Find the tangential component of the acceleration vector. Select the correct answer.
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