Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning.
?
If 
, then 
.
Therfore, 
.
What will be an ideal response?
valid; indirect
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Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction.F = -3y3i + 3x3j + 9z3k ; C: the portion of the paraboloid x2 + y2 = z cut by the cylinder 
A. 144? B. - 72? C. -144? D. 72?
Mitigation Masters is a company that specializes in the rescue and repair of paper documents and books damaged by water. They are known all over the United States for salvaging governmental records, academic and private libraries, and museum collections. Mitigation Masters has spent years in painstaking research and practical experimentation to develop methods of drying the documents, preventing mold growth, and minimizing the fragility of damaged documents. Mitigation Masters intends to move into the international market. The best entry mode for it would be
A. licensing. B. franchising. C. outsourcing. D. a greenfield venture.
Provide an appropriate response.Suppose you invest an initial amount of $10,000 at an annual rate of 8.2% compounded monthly. Use a graphing calculator to graph the compound amount S as a function of the interest periods. Determine how long it takes for the investment to accumulate to $22,500.
Fill in the blank(s) with the appropriate word(s).
Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 12x = 12y - 96
A. vertex: (6, 5)
focus: (6, 8)
directrix: y = 2
B. vertex: (6, 5)
focus: (9, 5)
directrix: x = 3
C. vertex: (6, 5)
focus: (3, 5)
directrix: x = 9
D. vertex: (6, 5)
focus: (6, 2)
directrix: y = 8