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:
 Note that  =  + .
 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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The statement contains a double or multiple negation. Analyze the statement, explaining what it means.The House of Representatives voted to override the veto of the communications bill.

What will be an ideal response?

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Use the given information to find the exact value of the expression.sin ? = , ? lies in quadrant IFind cos 2?.

A. - 
B.
C.
D.

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Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f.f(x) = , g(x) = 

A. g shifts the graph of f vertically down 3 units

B. g shifts the graph of f vertically up 3 units

C. g shifts the graph of f 3 units to the right

D. g shifts the graph of f 3 units to the left

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Find the zeros of the polynomial function and state the multiplicity of each.f(x) = x4 - 6x2 + 8

A. x = -2, multiplicity 1; x = 2, multiplicity 1; x = -, multiplicity 1; x = , multiplicity 1
B. x = -2, multiplicity 1; x = 2, multiplicity 1; x = -, multiplicity 1
C. x = 4, multiplicity 1; x = 2, multiplicity 1
D. x = 4, multiplicity 1; x = -, multiplicity 1; x = , multiplicity 1

Mathematics