Questions from College Mathematics

Q: For G(x, y) = x2 ln y -

For G(x, y) = x2 ln y - 3x - 2y + 1 find all values of x and y such that Gx(x, y) = 0 and Gy(x, y) = 0 simultaneously.

Q: Let ((x, y) = 5 - 2x + 4y

Let ((x, y) = 5 - 2x + 4y - 3x2 - y2 . (A) Find the maximum value of ( (x, y) when x = 2. (B) Explain why the answer to part (A) is not the maximum value of the function ( (x, y).

Q: Let ((x, y) = ex + 2ey + 3xy2

Let ((x, y) = ex + 2ey + 3xy2 + 1. (A) Use graphical approximation methods to find d (to three decimal places) such that ((1, d) is the minimum value of ((x, y) when x = 1. (B) Find (x(1, d) and (y(...

Q: For ((x, y) = 2xy2 , find /

For ((x, y) = 2xy2 , find

Q: A company spends $x per week on online advertising and $

A company spends $x per week on online advertising and $y per week on TV advertising. Its weekly sales were found to be given by S(x, y) = 10x0.4y0.8 Find Sx(3,000, 2,000) and Sy(3,000, 2,000), and i...

Q: A company manufactures 10- and 3-speed bicycles. The

A company manufactures 10- and 3-speed bicycles. The weekly demand and cost functions are where $p is the price of a 10-speed bicycle, $q is the price of a 3-speed bicycle, x is the weekly demand fo...

Q: The productivity of an automobile manufacturing company is given approximately by the

The productivity of an automobile manufacturing company is given approximately by the function ((x, y = 50√xy = 50x0.5 y0.5 with the utilization of x units of labor and y units of capital. (A) Find...

Q: Find each indefinite integral and check the result by differentiating.

Find each indefinite integral and check the result by differentiating.

Q: Use this test in Problem to determine whether the indicated products are

Use this test in Problem to determine whether the indicated products are competitive, complementary, or neither. The daily demand equations for the sale of brand A coffee and brand B coff...

Q: Use this test in Problem to determine whether the indicated products are

Use this test in Problem to determine whether the indicated products are competitive, complementary, or neither. The monthly demand equations for the sale of tennis rackets and tennis balls in a spor...