Simplify the expression. Express the answer so that all exponents are positive. Whenever an exponent is 0 or negative, we assume that the base is not 0.(-6x2)-1
A. - 
B. - 
C. 
D. 
Answer: B
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Solve for the specified variable.I = 
for r
A. r = 
B. r = 
C. r = 
D. r = 
- IR
Find all the first order partial derivatives for the following function.f(x, y) = ln yx
A. 
= xln y; 
= - 
B. 
= 0; 
= - 
C. 
= ln y; 
= - xln y
D. 
= ln y; 
= 
Solve.Suppose that a polynomial function is used to model the data shown in the graph below.
For what intervals is the function increasing?
A. 0 through 40 B. 0 through 10 and 25 through 40 C. 0 through 10 and 20 through 50 D. 10 through 25 and 40 through 50
Provide an appropriate response.A store makes two different types of smoothies by blending different fruit juices. Each bottle of Orange Daze smoothie contains 10 fluid ounces of orange juice, 4 fluid ounces of pineapple juice, and 2 fluid ounces of blueberry juice. Each bottle of Pineapple Blue smoothie contains 5 fluid ounces of orange juice, 6 fluid ounces of pineapple juice, and 4 fluid ounces of blueberry juice. The store has 500 fluid ounces of orange juice, 360 fluid ounces of pineapple juice, and 250 fluid ounces of blueberry juice available to put into its smoothies. The store makes a profit of $1.50 on each bottle of Orange Daze and $1 on each bottle of Pineapple Blue. To determine the maximum profit, the simplex method can be used and the final tableau is: x1 x2
x3 x4 x5 M 
If the store could obtain 10 fluid ounces extra of one of the juices, which type of juice should they get? Why?
A. It makes no difference which juice they get - the increase in profit would be the same for any of them.
B. Pineapple juice, since it has the highest marginal value of 40.
C. Orange juice, since it has the highest marginal value of 
.
D. Blueberry juice; in the optimal solution the value of the slack variable x5 corresponding to the blueberry juice constraint is 30, while the values of the other slack variables are zero.