Evaluate the expression.

A.
B.
C. - 
D. - 


Answer: B

Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (10 + t)i  + (4 + ln(sec t))j - 4k, -?/2 < t < ?/2

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

Mathematics

Solve the problem.Find the work done by a force of 16i (newtons) in moving as object along a line from the origin to the point  (distance in meters).

A. 32 joules
B. 32 joules
C. 22.63 joules
D. 16 joules

Mathematics

Solve. Write the answer as a mixed number in simplest form.The area of a rectangle is 12 square meters. If its width is 1meters, find its length.

A. 12 m
B. 7 m
C. 7 m
D. 7 m

Mathematics

Solve the triangle.

?
ft, ft, ft
?
Apply the rules regarding the use of significant digits after all computations are complete.
?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics