Provide an appropriate response.Explain why the curve x2 + y2 = 2x + 2y - 3 has no horizontal tangents.
What will be an ideal response?
By implicit differentiation, we find that 
= 
. When the tangent is horizontal, 
and thus x = 1. Substituting x = 1 into the equation for the curve yields 
Since there are no real solutions to this equation, there are no points on the curve where 
Therefore, the curve has no horizontal tangents.
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Solve the problem.If x varies inversely as v, and 
when 
find x when 
A. x = 9 B. x = 25 C. x = 6 D. x = 30
Provide an appropriate response.The formula for volume of a solid rectangular figure is V = lwh (length × width × height). If the volume of a mailing container must be 400 in3, its length 8 in. and its width 10 in., find its height.
Fill in the blank(s) with the appropriate word(s).
Simplify the expression. 
? 
A. 
B. 
C. - 
D. 
List the first n terms of the geometric sequence satisfying the given conditions.a1 = 
, r = -9, n = 4
A. 
, - 
, 
, - 
B. 
, - 
, - 
, - 
C. 
, - 
, - 
, - 
D. 
, - 
, 
, - 