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Solve problem by the following steps:
(a) Introduce Lagrange multipliers for each of the two constraints, and differentiate the resulting Lagrangian integral with respect to p at each point x. Set this derivative to zero.
(b) Show that ln p(x) = c - dx2 for some constants c and d.
(c) Evaluate the constants to satisfy the two constraints.
the length of a rectangular backyard is 13 feet longer than its width (x). what is the area of the bakyard interms of x?
The material for the top and bottom of the can need to be thicker, and costs 0.05 cents per square centimeter. Find the dimensions for the can that will minimize production cost.
calculate the relative error of the answer obtained fromyour calculation.
do cars on eastbound interstate 10 near the louisiana-texas border travel slower than the cars in westbound interstate
A jar contains a number of marbles of which 58 are pink, 78 are green, and the rest are blue. If the probability of choosing a blue marble from this jar at random is 1/5, how many blue marbles are in the jar.
What is the marginal cost when x = 1000 and 2000? Find the average cost function C‾ and the marginal average cost function C‾'.
Research the term primary key. Discuss what this means in the context of functions and relations.
What are all the possible dimensions for boxes that will hold exactly 2oo one-inch cubes?
Consider the constants A, B, C and the function f(x, y) = Ax^2 + Bxy + Cy^2. Show that the only choice of coefficients A, B, C giving ∂^2f/∂x^2+∂^2f/∂y^2= 2,
Katie is a seamstress who makes wedding dresses. Her monthly cost and revenue functions when make x wedding dresses can be modeled approximately by C(x) = 200 + 150x and R(x) = 700x - 35x2, How many dresses should Katie make each month to maximize ..
Let S = {A, B, C} be the Sample Space for an experiment, and let E = {A, B}. It is known that outcome A is twice as likely to occur as outcome B. Find Pr[E | A] andPr[A | E].
A circular tank has a volume of 62,209 cubic feet and a depth of 8 feet. What is the diameter of the tank?
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