Solve the problem.The "equilibrium constant" for a chemical reaction is often used to calculate the amounts of chemical substances that are present in a system. For a particular reaction, the equilibrium constant K is given by the formula 
where A, B, and C are the amounts (in arbitrary units) of chemicals a, b, and c. Calculate the equilibrium constant if A = 3, B = 4, and C = 2. Round your answer to three decimal places when necessary.
A. 18
B. 4.5
C. 9
D. 288
Answer: B
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Solve the problem.The surface of a snow-covered mountainside can be modeled by the function f(x,y) = e-((x - 0.5)2 + (y - 0.7)2),where x and y are coordinates in the horizontal plane (xy-plane). Find a unit vector that indicates the direction an avalanche will move initially if it begins at the point 
. Assume that the avalanche moves along the path of steepest descent.
A. u = 
B. u = 
C. u = 
D. u = 
Solve.
= 1 + 
A. {-20, 10} B. {-8, 10} C. {8, -10} D. ?
Write the English phrase as an algebraic expression. Let x represent the number. Simplify the expression, if possible.20 less than a number
A. x + 20
B. x - 20
C. 
D. 20 - x
Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. ln 
- 
+ C
B. ln 
- 
+ 
+ C
C. ln 
+ 
+ C
D. ln 
- 
+ 
+ C