Write the function as the composition of two functions f and g such that y = f[g(x)]).y = (x1/2 + 4)3 + 5(x1/2 + 4) 2 - 1
A. f(x) = x1/2 + 4, g(x) = x3 + 5x2 - 1
B. f(x) = x3 + 5x2 - 1, g(x) = x1/2 + 4
C. f(x) = (x + 4)3 + 5x2 - 1, g(x) = x1/2
D. f(x) = (x + 4)3 + 5(x + 4) 2 - 1, g(x) = x1/2 + 4
Answer: B
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the velocity vector.r(t) = (4t2 + 16)i + 
j
A. v = (8t)i + 
j
B. v = (8t)i - 
j
C. v = 
i + (8t)j
D. v = (8)i + 
j
Find the LCD for the following pair of fractions.
and 5
A. 25 B. 4 C. 29 D. 5
If n is a natural number, then 10-n = 
. Negative powers of 10 can be used to write the decimal part of Hindu-Arabic numerals in expanded form. Express the expanded form as a Hindu-Arabic numeral.(8 × 103) + (7 × 102) + (3 × 101) + (8 × 1) + (3 × 10-1) + (6 × 10-2) + (8 × 10-3)
A. 8,738,368 B. 873.8368 C. 87383.68 D. 8738.368
Answer the question.Consider the numbers 2, 
, -15, 0, 
, 
, 0.
, 0.17. Which are integers?
A. 2, -15, 0, 
B. 2, -15, 0, 
C. 2, 0, 
D. 2, -15, 0