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?
and 
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Solve the problem.An office contains 1000 ft3 of air initially free of carbon monoxide. Starting at time = 0, cigarette smoke containing 4% carbon monoxide is blown into the room at the rate of 0.5 ft3/min. A ceiling fan keeps the air in the room well circulated and the air leaves the room at the same rate of 0.5ft3/min. Find the time when the concentration of carbon monoxide reaches 0.01%.
A. 6.01 min B. 5.01 min C. 7.01 min D. 8.01 min
Find the area enclosed by the given curves.y = x3, y = 4x
A. 16 B. 4 C. 8 D. 2
Solve.? x = ? y + 17°Find the measure of ? y if ? x = 150°.
A. -133° B. 167° C. 9° D. 133°
The bar graph shows the number of tickets sold each week by the garden club for their annual flower show.
How many tickets were sold in all?
A. 195 tickets B. 105 tickets C. 215 tickets D. 205 tickets