# Derivative problem

The sum of two numbers is 12. Find these numbers if:

a) The sum of their third powers is minimal.

b) The product of one with the cube of the other is maximal.

c) Both are positive and the product of one with the other power of the other is maximal.

a) The sum of their third powers is minimal.

b) The product of one with the cube of the other is maximal.

c) Both are positive and the product of one with the other power of the other is maximal.

**Correct result:****Showing 0 comments:**

Tips to related online calculators

Looking for help with calculating roots of a quadratic equation?

#### You need to know the following knowledge to solve this word math problem:

## Next similar math problems:

- What is 10

What is the 5th term, if the 8th term is 80 and common ratio r =1/2? - If the 3

If the 6th term of a GP is 4 and the 10th is 4/81, find common ratio r. - Motorcycle engine

The motorcycle engine has a constant power of 1.2 kW for 0.5 hours. How much work does the engine do? Express work in kWh and Ws units. - Electric work

Calculate the work done by the electric forces passing the current of 0.2 A through the bulb in 10 minutes if the bulb is connected to a 230 V power supply. - Worker's performance

15 workers paint 180 m fence in 3 days. In how many days will 9 workers paint a 360 m fence? We assume that each worker have the same, constant and unchangeable performance. - 3 phase load

Two wattmeters are connected to measuring power in a 3 phase balanced load. Determine the total power and power factor if the two wattmeters read 1000 watts each (1) both positive and (2) second reading is negative - Helmet

Nowadays cycling better results could be obtained not only due to rider physical preparation but also thanks to using updated technologies. One of the essential parts of the rider´s equipment is his or her helmet. While most bikers wear a helmet mainly to - Orlík hydroelectric plant

The Orlík hydroelectric power plant, built in 1954-1961, consists of four Kaplan turbines. For each of them, the water with a flow rate of Q = 150 m^{3}/s is supplied with a flow rate of h = 70.5 m at full power. a) What is the total installed power of the p - Electric input power

Solve problems related to electric power: a) U = 120 V, I = 0.5 A, P =? b) P = 200 W, U = 230 V, I =? c) I = 5 A, P = 2200W, U =? - Performance

Two masons with the same performance would have made of plaster for 6 days. One of them, however, has increased its daily performance by 50%. How long would take they now to make plaster together? - Highway tunnel

The highway tunnel was built from two ends in the north-south direction. The average daily performance of the "northern party" rasters was higher than the average daily power of the "southern party" of the rasters. After 55 business days, both parties met - Job task

After two hours and 40 minutes the job is finished. Compared to last year we were 40 minutes faster. What is the percentage increase to our performance? - Efficiency

What is the power output of kettle 2 kW with efficiency 90%? - New computer

New computer process a certain amount of data for 6 hours. For how many hours will process the same amount of data older computer that has a quarter lower performance? - Elevator

In homes with more floor elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the coun - Workman - shift

The worker produces 300 components per shift. How many components would be produced in 18 shift, if his performance gradually increased every shift by 3 components? - Motor physics

Car traveling at 130 km/h on the highway. Pulling power of the motor is 8 kN. Determine engine power in kW.