Find T, N, and B for the given space curve.r(t) = (1 + t)3/2i   + (1 - t)3/2j  + tk 

A. T = i - j + k; N = i + j ; B = - i + j + k
B. T = i + j + k; N = i  + jB = i + j + k
C. T = i  - j + k; N = i + jB = - i + j + k
D. T = i - j + k; N = i + jB = - i + j + k


Answer: A

Mathematics

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Rewrite the polynomial in descending order.x6 + x + 9x3 + 1 + 5x2

A. 9x3 + 5x2 + 1 + x6 + x B. x + 5x2 + 9x3 + x6 + 1 C. x6 + 9x3 + 5x2 + x + 1 D. 1 + x + 5x2 + 9x3 + x6

Mathematics

Write the system of linear equations that the augmented matrix represents.

A.

20x+ 12y= 15
5x+ 16y= 19

B.
20x+ 12y= 15
16x+ 5y= 19

C.
20x+ 12y= -15
16x+ 5y= -19

D.
12x+ 20y= 15
16x+ 5y= 19

Mathematics

Solve the inequality, and graph the solution set.v2 + 10v + 24 ? 0

A. [-4, ?)

B. [-6, -4]

C. (-?, -6]

D. (-?, -6] ? [-4, ?)

Mathematics

Analyze the graph and write the equation of the function it represents in standard form f(x) = a(x - h)2 + k. 

A. f(x) = 2(x - 1)2 - 3 B. f(x) = -2(x + 1)2 - 3 C. f(x) = 2(x + 1)2 - 3 D. f(x) = 2(x + 1)2 + 3

Mathematics