Scientific computing | Computer Science homework help

 

determine what kind of problem it is (e.g., optimization) and briefly explain how you would set up a computer program to solve it. Don’t just say “this is an optimization problem.” Say which technique(s) you would use to solve it and why?

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The performance of an airplane wing is given by measurements a, b, c, and d and the equation � = 0.1298�* + 4.123�/ 0 . You wish to determine the best design to yield the best performance.

2. A banana is launched from a catapult at ground level on a completely flat surface at an angle of 16° with an initial velocity of 25km/h. You wish to determine when it will hit the ground again.

3. A circular glass-bottomed swimming pool with radius 10’ and height 6’ with a circular hole in the bottom of radius 5” is being filled with pure water from a hose at a rate of 3.2gal/min. You wish to determine if the pool will overflow.

4. Two bananas are launched from catapults facing each other over a completely flat surface at angles of 25° and 35°, each with initial velocities of 60km/h. You wish to determine if they will collide in midair.

5. A kind of yeast is discovered that produces a compound with antibacterial properties. The yeast grows at the rate defined by the following equation: � = *2 345.6242745.*28, where c is the temperature of the growing container in Celsius. At what temperature should the growing container be set?

6. You have plotted the growth rates of a bacterium over time using several combinations of temperature and humidity in the growing container. You wish to develop an equation that will yield an approximation of bacterial growth as a function of time, temperature, and humidity.

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