Perform the indicated row operations on the given matrix.

A.

B.

C.

D.


Answer: D

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10t sin t + 10cos t)i + (10t cos t - 10 sin t)j  - 10k 

A. T = (-cos t)i  - (sin t)j; N = (sin t)i  + (cos t)j B. T = (cos t)i  - (sin t)j; N = (-sin t)i  - (cos t)j C. T = (-cos t)i  - (sin t)j; N = (sin t)i  - (cos t)j D. T = (cos t)i  + (sin t)j; N = (-sin t)i  + (cos t)j

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Solve.Given that loga11 = 2.398 and loga5 = 1.609, evaluate loga.

A. 4.007 B. -0.788 C. 1.49 D. 0.789

Mathematics

The number n of incidents of family violence requiring police response appears to be related to d, the money spent on crisis intervention, by the equation . What expenditure would reduce the number of incidents to 384? ?

A. $49,200 B. $9,200 C. $109,200 D. $162,800 E. $71,200

Mathematics

Graph the system of inequalities. Shade the region that represents the solution set.x2 + y2 ? 81x + y > 4

A.

B.

C.

D.

Mathematics