Provide an appropriate response.(a) Show that 
converges.(b) Show that 
? 0.0002.(c) Suppose 
is approximated by 
. Based on your answer to part (b), what is the maximum possible error?(d) Use a numerical method to estimate the value of 
/>.(e) Determine whether 
converges or diverges, and justify your answer. If it converges, estimate its value to an accuracy of at least two decimal places.
What will be an ideal response?
| (a) | Possible answer: |
= 
+ 
.Since
is a proper integral and 
converges by direct comparison to
, 
converges.(b)
? 
= 0.0002.(c) 0.0002
(d) 1.209
(e) diverges
Mathematics
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Find parametric equations for the line through the point (3,4,5) that is parallel to the plane x+y+z=-15 and perpendicular to the line x=15+t, y=12-t, z= 3t.
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Use the given conditions to write an equation for the line in slope-intercept form.Slope = 
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A. f(x) = 
x - 2
B. f(x) = 
x + 
C. f(x) = - 
x - 2
D. f(x) = 
x + 2
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