Solve the problem by using two equations with two variables.Dmitri needs 6 liters of a 20% solution of sulfuric acid for a research project in molecular biology. He has two supplies of sulfuric acid solution: one is an unlimited supply of the 48% solution and the other an unlimited supply of the 6% solution. How many liters of each solution should Dmitri use?

A. 48% solution: 2.5 liters; 6% solution: 3.5 liters
B. 48% solution: 1.5 liters; 6% solution: 4.5 liters
C. 48% solution: 2 liters; 6% solution: 4 liters
D. 48% solution: 4 liters; 6% solution: 2 liters


Answer: C

Mathematics

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Find all the local maxima, local minima, and saddle points of the function.

A. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(6, 0) = 4096, saddle point;
f(6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
B. f(0, 0) = 5392, local maximum; f(0, 8) = 1296, saddle point; f(0, -8) = 1296, saddle point;
f(6, 0) = 5392, saddle point; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum;
f(-6, 0) = 4096, saddle point; f(-6, 8) = 0, local minimum; f(-6, -8) = 0, local minimum
C. f(0, 0) = 5392, local maximum; f(6, 8) = 0, local minimum; f(6, -8) = 0, local minimum;
  local minimum; f(-6, -8) = 0, local minimum
D. f(0, 0) = 5392, local maximum; f(-6, -8) = 0, local minimum

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Find the distance from P1 to P2.P1 = (0, -4, 4) and P2 = (-1, 1, -3)

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f (x) = sin (4x)cos (3x)

Differentiate.

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