Provide an appropriate response.Show that the function r(?) = 4 cot ? + 
+ 5 has exactly one zero on the interval 
What will be an ideal response?
The function r(?) is continuous on the open interval (0, ?). Also, r(?) approaches ? as ? approaches 0 from the right, and r(?) approaches -? as ? approaches ? from the left. Since r(?) is continuous and changes sign along the interval, it must have at least one root on the interval.
The first derivative of r(?) is r'(?) = -4 csc2 ? - 
, which is everywhere negative on (0, ?). Thus, r(?) has a single root on 
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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?
Show that the set has cardinal number ?0 by establishing a one-to-one correspondence between the natural numbers and the given set. Be sure to indicate the general correspondence.
A.
| 1, | 2, | 3, | 4, | 5, ..., n, ... |
| ? | ? | ? | ? | ? ? |
, 
, 
, 
, 
, ..., 
, ...B.
| 1, | 2, | 3, | 4, | 5, ..., n, ... |
| ? | ? | ? | ? | ? ? |
, 
, 
, 
, 
, ..., 
, ...C.
| 1, | 2, | 3, | 4, | 5, ..., n, ... |
| ? | ? | ? | ? | ? | ? |
, 
, 
, 
, 
, ..., 
, ...D.
| 1, | 2, | 3, | 4, | 5, ..., n, ... |
| ? | ? | ? | ? | ? ? |
, 
, 
, 
, 
, ..., 
, ...Solve the problem.If x varies inversely as y2, and 
when 
find x when 
A. x = 45 B. x = 50 C. x = 2 D. x = 20
Do not use a calculator. Find an exact value of s in the specified interval with the given circular function value.sin s = - 
, 
A. 
B. 
C. 
D. 