Find the first four terms of the binomial series for the given function.(1 - 8x)1/2
A. 1 - 4x - 8x2 - 16x3
B. 1 - 4x + 8x2 - 32x3
C. 1 - 4x - 8x2 - 32x3
D. 1 + 4x + 8x2 - 16x3
Answer: C
Mathematics
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Find the values of x for which the geometric series converges.
A. |x| < 2
B. |x| < 
C. |x| < 1
D. |x| < 4
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The position vector of a particle is r(t). Find the requested vector.The velocity at t = 
for r(t) = 4sec2(t)i - 6tan(t)j + 9t2k
A. v
= -12j + 
?k
B. v
= 16i - 12j + 
?k
C. v
= 16i + 12j - 
?k
D. v
= -12j - 
?k
Mathematics
Use Newton's method to find an approximate answer to the question. Round to six decimal places.Where is the first local maximum of f(x) = 2x sin x on the interval (0, ?) located?
A. x ? 2.000000 B. x ? 2.028647 C. x ? 2.039758 D. x ? 2.028758
Mathematics
Evaluate the sum.
A. 4,421,700 B. 5,781,700 C. 3,741,700 D. 6,461,700
Mathematics