Questions from College Mathematics

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

A company spends $x thousand per week on online advertising and $y thousand per week on TV advertising. Its weekly sales are found to be given by S(x, y) = 5x2 y3 Find S(3, 2) and S(2, 3)

Q: Find each indefinite integral. Check by differentiating. /

Find each indefinite integral. Check by differentiating.

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

A company manufactures 10- and 3-speed bicycles. The weekly demand and cost equations are p = 230 - 9x + y q = 130 + x - 4y C(x, y) = 200 + 80x + 30y where $p is the price of a 10-speed bicycle, $q i...

Q: The petroleum company in Problem 69 is taken over by another company

The petroleum company in Problem 69 is taken over by another company that decides to double both the units of labor and the units of capital utilized in the production of petroleum. Use the Cobb–Dougl...

Q: The packaging department in a company has been asked to design a

The packaging department in a company has been asked to design a rectangular box with no top and a partition down the middle (see the figure). Let x, y, and z be the dimensions of the box (in inches)....

Q: Poiseuille’s law states that the resistance R for blood flowing in a

Poiseuille’s law states that the resistance R for blood flowing in a blood vessel varies directly as the length L of the vessel and inversely as the fourth power of its radius r. Sta...

Q: Under ideal conditions, if a person driving a car slam on

Under ideal conditions, if a person driving a car slam on the brakes and skids to a stop, the length of the skid marks (in feet) is given by the formula For k = 0.000 013 3, find L(2,000, 40) and L(...

Q: The force F of attraction between two masses m1 and m2 at

The force F of attraction between two masses m1 and m2 at distance r is given by Newton’s law of universal gravitation where G is a constant. Evaluate F(50, 100, 20) and F(50, 100,...

Q: find the indicated value of the function of two or three variables

find the indicated value of the function of two or three variables. The height of a trapezoid is 4 meters and the lengths of its parallel sides are 25 meters and 32 meters. Find the area.

Q: find the indicated value of the function of two or three variables

find the indicated value of the function of two or three variables. The length, width, and height of a rectangular box are 30 centimeters, 15 centimeters, and 10 centimeters, respectively. Find the vo...