Find the inverse, if it exists, for the matrix.A = 
A.
B.
C.
D. No inverse
Answer: B
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Find the gradient field F of the function f.f(x, y, z) = x9e5x + y10z5
A. F = (1 + x)x8e5xi + y9z5j + y10z4k B. F = (9 + 5x)x8e5xi + (x9e5x + 10y9z5)j + (x9e5x + 5y10z4)k C. F = (9 + 5x)x8e5xi + 10y9z5j + 5y10z4k D. F = (9 + 5x)x8e5xi + 10y9j + 5z4k
Find a unit vector u in the direction of the given vector.
A.
B.
C.
D.
Solve the problem.A surveyor recording data for a new subdivision measured an angle as 11.77°. The next day, a different surveyor measured the same angle as 11°31'. Find the difference between these measurements (i) to the nearest minute and (ii) to the nearest hundredth of a degree.
A.
(i) 38' | (ii) 0.43° |
B.
(i) 77' | (ii) 1.29° |
C.
(i) 46' | (ii) 0.46° |
D.
(i) 15' | (ii) 0.25° |
An investment firm offers 3 stock portfolios, A, B, and C. The number of blocks of each type of stock in each of these portfolios is summarized in the following table: A client wants 33 blocks of high-risk stock, 27 blocks of moderate-risk stock, and 30 blocks of low-risk stock. How many of each portfolio should be suggested.
What will be an ideal response?