Calculate.
× 15.71
A. 11.775
B. 11.7825
C. 13.74625
D. 12.568
Answer: B
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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) = x2y2z2
A. harmonic B. not harmonic
Factor by grouping.r3 + r2 + 2r + 2
A. (r2 + 2)(r + 2) B. (r2 + 2)(r - 2) C. (r2 + 2)(r + 1) D. (r2 + 1)(r + 2)
Provide an appropriate response.The following proportion is not true. Change any one of the numbers in the proportion to make it true.
What will be an ideal response?
Solve the problem.The number of periods needed to double an investment when a lump sum is invested at 10%, compounded semiannually, is given by n = log1.05 2. Find the number of years before the investment doubles in value, to the nearest tenth of a year.
A. 7.1 years B. 28.4 years C. 3.6 years D. 14.2 years