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76.

Since k>1 the first series will be alternating signs.

If k>3 the second series will converge (r=3/4 - geometric).

So both series will converge for k=3.

Answer D
   
77.

Answer E
   
78. 

Answer B
   
79.

If a=1 there is a hole in the function.

If a = 4 there is a hole in the function

For all other values of a the function will have an asymptote at

Answer A
   
80. Answer B
   
81.

Answer B
   
82.

Answer B
   
83.

The first three terms are:

From the graph we can see that the maximum value is at (.3,.14463)

Answer C
   
84.

The series converges for -2<x+2<1 or -3<x<-1

Answer B
   
85.

Answer C
   
86.

Using the function x+2y=8 and solving for y: 

This is the diameter of the semicircle, so the radius is

 

Answer C
   
87.

 

Solving for the zero:

Therefore the place where the slope is 1 is at x=.2367329.

The tangent line then is y=1(x-.2367329)+.1152256 or y=x-0.122

 

Answer D
   
88.

f or g' is first positive, then zero, then negative, then zero.

Two possibilities A & C but C ends with g' equal to zero so it is better.

Answer C
   
89.

So we need to know what

Answer A

 

 

   
90.

Answer A
   
91. Answer E
   
92.

graphically solved:

 

Answer D