The eigenvalues of the matrix A of the previous problem are
Select the correct answer.
?

A. , ,
B. ,,
C. ,
D. ,
E. ,


Answer: B

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = xyi + yzj + xzk , S is the surface of the rectangular prism formed from the coordinate planes and the planes x = 1, y = 4, and z = 1, direction away from the origin

A. 6 B. 2 C. 24 D. 12

Mathematics

Find f(x) and g(x) such that h(x) = (f ? g)(x).h(x) = 

A. f(x) = , g(x) = 2
B. f(x) = , g(x) = 2x + 10
C. f(x) = 2, g(x) = 
D. f(x) = , g(x) = 2x + 10

Mathematics

Solve the problem.A barge travels with a velocity of 3 + 6j mi/h relative to the river in which it moves. The velocity of the river's current is 3 - 3j mi/h relative to the riverbank. Find the velocity of the boat relative to the riverbank.

A. 6 + 9j mi/h B. -6 - 9j mi/h C. 6 + 3j mi/h D. 6 - 3j mi/h

Mathematics

Solve the problem.The gas mileage, m, of a compact car is a linear function of the speed, s, at which the car is driven, for  For example, from the graph we see that the gas mileage for the compact car is 45 miles per gallon if the car is driven at a speed of  i) Using the two points on the graph, determine the function m(s) that can be used to approximate the graph.ii) Using the function from part i, estimate the gas mileage if the

compact car is traveling 59 mph. If necessary, round to the nearest tenth.

A.

i)m(s) = - s + 65
ii) 35.5 miles per gallon
B.
i)m(s) = s + 65
ii) 35.5 miles per gallon
C.
i)m(s) = - s + 65
ii) 94.5 miles per gallon
D.
i)m(s) = s + 65
ii) 94.5 miles per gallon

Mathematics