Find the sum of the first n terms of the following arithmetic sequence.a1 = 3, d = 1; n = 5.

A. 25
B. 15
C. 3
D. 8


Answer: A

Mathematics

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Find T, N, and B for the given space curve.r(t) = (cosh t)i   + (sinh t)j  + k 

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

Mathematics

Arrange in order from smallest to largest.8.25, 8, 8.52, 8

A. 8.25, 8.52, 88
B. 888.25, 8.52
C. 8.25, 88.52, 8
D. 88.52, 88.25

Mathematics

Find the center and radius of the circle.x2 + y2 + 6x - 18y + 90 = 81

A. (-9, 3), r = 81 B. (3, -9), r = 81 C. (-3, 9), r = 9 D. (9, -3), r = 9

Mathematics

Find the real solutions of the equation.2x3 - x2 - 20x + 10 = 0

A.
B. {-2, , - }
C. {2, , -}
D.

Mathematics