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Mathematics

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Find the unit tangent vector T and the principal unit normal vector N. r(t) = (cosh t)i + (sinh t)j + tk 

A. T = (tanh t)i  + j  + (sech t)k; N = (sech t)i  - (tanh t)k 
B. T = -  (tanh t sech t)i  + j  + (sech t)k; N = (-sech t)i  - (tanh t)k 
C. T = (tanh t sech t)i  + j  + (sech t)k; N = (sech2 t)i  - (sinh t)k 
D. T = - (tanh t)i  + j  + (sech t)k; N = (-sech t)i  - (sinh t)k 

Mathematics

Provide an appropriate response.Find the range of the following: 23, 46, 73, 47, 92, 36, 74, 12, 97, 64, 38

A. 97 B. 15 C. 85 D. 12

Mathematics

Use a graphing calculator to solve the system of equations. Round your solutions to one decimal place.2.6x- 0.7y+ 5.3z- 3.4w= 12.9  6.5y+ 0.7w= -1.8   4.0z- 2.2w= 1.54.9x+ 0.6w= 3.2

A. (2.2, 1.1, 7.2, 12.4) B. (-2.2, 1.1, -6.4, 23.3) C. (2.2, -1.1, -6.4, 7.6) D. (2.2, 1.1, -6.4, -12.4)

Mathematics

Find the values of the variables for which the statement is true, if possible. = 

A. x = 6; y = 1; k = -6 B. x = 6; y = -6; k = 9 C. x = 9; y = 5; k = -6 D. x = -6; y = -1; k = 6

Mathematics