Find the inverse, if it exists, for the matrix.A = 

A.
 
B.  

C.  

D. No inverse


Answer: B

Mathematics

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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

Mathematics

Find a unit vector u in the direction of the given vector.

A.
B.
C.
D.

Mathematics

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°

Mathematics

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?

Mathematics