Find the quadratic approximation of f at x = 0.f(x) = ln(cos 8x)
A. Q(x) = 32x2
B. Q(x) = 1 + 32x2
C. Q(x) = - 32x2
D. Q(x) = 1 - 32x2
Answer: C
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Round off the approximate number as indicated.0.9999 3 significant digits
A. 1.00 B. 1 C. 1.0 D. 0.999
Solve.The electric potential of an electric charge distributed along a straight wire of length L is given by the expression ln 
. Find three terms of the Taylor expansion of this expression in powers of (x - L).
A. ln 7 - 
(x - L) + 
(x - L)2 + . . .
B. ln 7 - 
(x - L) + 
(x - L)2 + . . .
C. ln 7 + 
(x - L) + 
(x - L)2 + . . .
D. ln 7 - 
(x - L) + 
(x - L)2 + . . .
Solve.A special type of wire used in electronic equipment is 0.667 millimeter thick. How many centimeters thick is the wire?
A. 0.00667 cm B. 6.67 cm C. 0.0667 cm D. 66.7 cm
The mean is sometimes called the arithmetic mean to distinguish it from other possible means. For example, a different mean, called the harmonic mean (H.M.), is used to average speeds. This mean is defined to be the sum of the reciprocals of all scores divided into the number of scores. For example, the harmonic mean of the numbers 4, 5, 6, 6, 7, 8 is
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Find the arithmetic mean and the harmonic mean of the numbers 2, 2, 4, 4, 7, 8, 8, 9, 9, and 10.
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Round your answers to the nearest hundredth.
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A. 
B. 
C. ?
D. ?
E. ?