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A box with a square base and open top must have a volume of $32,000 \mathrm{cm}^{3} .$ Find the dimensions of the box that minimize the amount of material used.

A box with a square base and open top must have a volume of $32,000 \mathrm{cm}^{3} .$ Find the dimensions of the box that minimize the amount of material used.

Biocalculus Calculus for the Life Sciences

Applications of Derivatives

Optimization Problems

Questions asked

ANSWERED

Shu Naito verified

Numerade educator

- This is to allow the evaluator to measure hot and cold water in different containers as well as room temperature. Isolate the sensor from getting wet by using a small amount of silicon. - A change in temperature must reflect immediately. - The temperature must be accurate to 5%. - At startup the counter must start counting with 1 sec intervals. The LED in the circuit must be off. The counter must now start counting to a maximum of 30 before returning to 0. However, if the push button is pressed, the display must change to the temperature value being measured. The LED must now also switch ON to indicate that the temperature is being displayed. - If the push button is pressed and released again, the display must switch to the counter again, continuing from what the count value is supposed to be, e.g. if the count was interrupted at 5 seconds and the temperature was displayed for around 6 seconds, the count must thus be at around 11 or 12 and carry on from there. - The display must thus shift between counting display and temperature display every time the button is pressed and released. - This is only achievable by using timers and timer interrupts as well as external interrupts.. Circuit Diagram

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ANSWERED

Shu Naito verified

Numerade educator

Practical Description: • You cannot simulate the design in Proteus and must thus implement the design in hardware. • Use the keypad correction which you did in experiment 4. • As a start, generate a frequency equal the the value being pressed, e.g. if 1 is pressed, generate a frequency of 1 Hz. If a "4" is pressed the frequency will be 4 times faster and noticeable. • You can then implement the times 10 factor and test the operation on an oscilloscope. • The value being pressed must still appear on the LED and the 7-segment display to enable the evaluator to test the generated frequency against the pressed value. • If a 0 is pressed, no frequency must be generated. Main components needed: - PC, Arduino R3 board with Atmega 328P, breadboard, 7-segment displays, and resistors (100 to 470 ohm), push button, LED, Keypad, Pic micro controller. Circuit diagram

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ANSWERED

Shu Naito verified

Numerade educator

Practical Description: - You must first simulate the design in Proteus and then implement the design in hardware. - Connect the LM35 temperature sensor to the Arduino as shown. The wire distance between the Arduino and the sensor must be a minimum of 30 cm. This is to allow the evaluator to measure hot and cold water in different containers as well as room temperature. Isolate the sensor from getting wet by using a small amount of silicon. - A change in temperature must reflect immediately. - The temperature must be accurate to 5%. Main components needed: - PC, Arduino R3 board with Atmega 328P, LM35, 7-segment displays, resistors, LM35 temperature sensor, breadboard/Veroboard. Circuit diagram

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