Provide an appropriate response.Graph the equation 
for several values of a in order to get an idea of what these curves look like. (Try both 
and 
Show that the graph will have an inner loop for every a such that 
and find the values of ? that correspond to the inner loop.
What will be an ideal response?
For any a, the graph will be traced out as ? varies from 0 to 2?. The loop will occur when r is negative. For 
for all ? so there is no loop. For 
when 
For 
when 
and 
Mathematics
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Find the area under the curve over the indicated interval.
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Add or subtract. Simplify all answers. Express as a mixed number.19
- 9
A. 9
B. 28
C. 9
D. 27
Mathematics
Solve the problem.Two angles are supplementary, and one is 40° more than three times the other. Find the smaller angle.
A. 105° B. 145° C. 35° D. 75°
Mathematics
Evaluate. 
A. 
9 + C
B. -120x-9 + C
C. 
7+ C
D. - 
x-7 + C
Mathematics