Show that the function has exactly one zero in the given interval.r(?) = 4 cot ? + 
+ 1, (0, ?).
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, 
has a single root on (0, ?).
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Solve the problem.One fifth of Mary's earned income is deducted from her paycheck for withholdings. Three fourths of the withholdings are for taxes. What fraction of Mary's earned income is deducted for taxes?
A. 
B. 
C. 
D. 
Verify that the values of the variables listed are solutions of the system of equations.
x = 4, y = -5
A. solution B. not a solution
Complete.1,152 in.2 = 
ft2
A. 13,824 B. 165,888 C. 8 D. 96
Find the perimeter by using the appropriate formula, if 
and 
.
?
?
__________ ft
Fill in the blank(s) with the appropriate word(s).