Refer to the following normal curve, with mean ? and standard deviation ?.
If the standardized value of x is 0.5, then x =
A. 53.
B. 51.
C. 50.5.
D. 52.5.
E. none of these
Answer: A
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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.
A. f
= 
, saddle point
B. f
= 
, local minimum; f
= 
, local minimum
C. f
= 
, saddle point; f
= 
, saddle point
D. f
= - 
, local maximum
Provide an appropriate response.The elapsed time in seconds since January 1, 2000 at 12:00 a.m. depends on the elapsed hours since January 1, 2000 at 12:00 a.m.(a)Write a function e(h) for the elapsed seconds since January 1, 2000 at 12:00 a.m. when the elapsed hours are h.(b)What is the domain of the function out of context?(c)What is the domain of this function in the given context?(d)Find e(t), e(-t), e(100t), and e(-100t).(e)What does multiplying the elapsed hour by -1 mean?
What will be an ideal response?
Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.(y + 2)2 - 9(x - 4)2 = 9
A. center: (4, -2)
transverse axis is parallel to x-axis
vertices: (-4, -3) and (4, 3)
foci: (4, - 
) and (4, 
)
asymptotes of y + 2 = - 3(x - 4) and y + 2 = 3(x - 4)
B. center: (-4, 2)
transverse axis is parallel to y-axis
vertices: (-4, -1) and (-4, 5)
foci: (-4, 2 - 
) and (-4, 2 + 
)
asymptotes of y + 2 = - 3(x - 4) and y + 2 = 3(x - 4)
C. center: (4, -2)
transverse axis is parallel to y-axis
vertices: (5, -4) and (5, 2)
foci: (5, -1 - 
) and (5, -1 + 
)
asymptotes of y + 2 = - 
(x - 4) and y + 2 = 
(x - 4)
D. center: (4, -2)
transverse axis is parallel to y-axis
vertices: (4, -5) and (4, 1)
foci: (4, -2 - 
) and (4, -2 + 
)
asymptotes of y + 2 = - 3(x - 4) and y + 2 = 3(x - 4)
The general term of a sequence is given. Find the indicated partial sum.an = 5n - 2; S5
A. 55 B. 65 C. 85 D. 100