Without using a calculator, determine the system of inequalities needed for the calculator-generated graph.
A. x2 + y2 ? 16
x ? 0
B. x2 + y2 ? 16
y ? 0
C. x2 + y2 ? 16
y ? 0
D. x2 + y2 ? 16
x ? 0
Answer: A
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Provide an appropriate response.Use the method of Lagrange multipliers to find the critical points of f(x, y, z) = 4x + 2y - 4z subject to the constraint x2 + y2 + z2 =1.
What will be an ideal response?
Convert to decimal notation.1.327 × 10-5
A. 0.000001327 B. -132,700 C. 0.00001327 D. 0.0001327
Solve the inequality.Fantastic Flags, Inc., finds that the cost to make x flags is 
while the revenue produced from them is 
(C and R are in dollars). What is the smallest whole number of flags, x, that must be sold for the company to show a profit?
A. 4789 B. 842,688 C. 76,608 D. 436
Solve.It is recommended that there be at least 21.6 square feet of ground space in a garden for every newly planted shrub. A garden is 43.2 feet by 24 feet. Find the maximum number of shrubs the garden can accommodate.
A. 2 shrubs B. 259 shrubs C. 48 shrubs D. 14 shrubs