How to approximate smooth functions over koch snowflake? Please provide in details

Problem 9-13 (Algorithmic)

Romans Food Market, located in Saratoga, New York, carries a variety of specialty foods from around the world. Two of the store’s leading products use the Romans Food Market name: Romans Regular Coffee and Romans DeCaf Coffee. These coffees are blends of Brazilian Natural and Colombian Mild coffee beans, which are purchased from a distributor located in New York City. Because Romans purchases large quantities, the coffee beans may be purchased on an as-needed basis for a price 11% higher than the market price the distributor pays for the beans. The current market price is $0.47 per pound for Brazilian Natural and $0.62 per pound for Colombian Mild. The compositions of each coffee blend are as follows:

Romans sells the Regular blend for $3.2 per pound and the DeCaf blend for $4.3 per pound. Romans would like to place an order for the Brazilian and Colombian coffee beans that will enable the production of 900 pounds of Romans Regular coffee and 500 pounds of Romans DeCaf coffee. The production cost is $0.89 per pound for the Regular blend. Because of the extra steps required to produce DeCaf, the production cost for the DeCaf blend is $1.09 per pound. Packaging costs for both products are $0.25 per pound. Formulate a linear programming model that can be used to determine the pounds of Brazilian Natural and Colombian Mild that will maximize the total contribution to profit.

If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300)

The complete linear program is

What is the contribution to profit?

Optimal solution:

If required, round your answer to two decimal places.

Value of the optimal solution = $

If the mathematics we use today stems from the contributions of the past, what would be the contributions of the Egyptians, Mesopotamians, and early Greeks?

Solve the system X' = (2 3 2 1)X + (t 1)

solve xy''-xy'+y=0 (using center series solution)

solve: y''+8y'+7'=f(t), y(0)=y'(0)=0, expressing your answer in terms of a convolution, using partial fractions for:

i)f(t)=e^t

ii)f(t)=t^1/2

iii) f(t)=2sin(2t)

*Please show work and explain*

Prove that a vector space V over a field F is isomorphic to the vector space L(F,V) of all linear maps from F to V.

In a study of the domestic market share of the three major automobile manufacturers A, B, and C in a certain country, it was found that their current market shares were 50%, 35%, and 15%, respectively. Furthermore, it was found that of the customers who bought a car manufactured by A, 75% would again buy a car manufactured by A, 15% would buy a car manufactured by B, and 10% would buy a car manufactured by C. Of the customers who bought a car manufactured by B, 90% would again buy a car manufactured by B, whereas 5% each would buy cars manufactured by A and C. Finally, of the customers who bought a car manufactured by C, 85% would again buy a car manufactured by C, 5% would buy a car manufactured by A, and 10% would buy a car manufactured by B. Assuming that these sentiments reflect the buying habits of customers in the future, determine the market share that will be held by each manufacturer after the next two model years. (Round your answers to the nearest percent.)

A _____%

B _______%

C _________%

Scanrio 2:Present material choices for a given building using performance properties, experimental data, sustainability and environmental consideration

P3 Discuss the benefits of product declaration and environmental certification.

P4 Present the results of relevant testing procedures to identify the performance characteristics of selected construction materials.

P5 Discuss the results in terms of the material properties and regulatory requirements, highlighting any unexpected results and why these may occur.

P6 Select construction materials for a given building based upon their performance properties in use.

I presently have $10,000 in the bank. At the beginning of each of the next 20 years, I will invest $4,000, and I expect to earn 6% interest per year. After 20 years I pay $15,000 in closeout fees on on the investment. At the end of the investment and fees how much money will I have? (answer $108,900).

I was given the answer from the professor I just need to know how to calculate this answer on Excel with formulas.

Using a boosting neural network, can you reduce the error rate? If so, to what? What might be a drawback to using this type of method, compared to logistic regression?

Urban Community College is planning to offer courses in Finite Math, Applied Calculus, and Computer Methods. Each section of Finite Math has 40 students and earns the college $40,000 in revenue. Each section of Applied Calculus has 40 students and earns the college $60,000, while each section of Computer Methods has 10 students and earns the college $23,000. Assuming the college wishes to offer a total of seven sections, accommodate 220 students, and bring in $286,000 in revenues, how many sections of each course should it offer? HINT [See Example 2.] Finite Math. section(s) Applied Calculus section(s) Computer Methods

Rankine cycle experiment:

5000ml water consumed in experiment used

Time (sec): 1055

Boiler, Temp (c): 167.199

Turbine In, Temp (c):109.3

Turbine ex, Temp (c): 97.79

Boiler Pres, (KPa) : 721.315

Turbine In Pres, (KPa): 85.639

Turbine Ex Pres, (KPa): 32.826

Fuel flow, (L/Min):5.842

Generator, (RPM): 1949.185

Voltage (volts): 7.443

Current (Amps): 0.135

Power (Watts): 1.002

Calculate:

1.Mass flow rate of water/ steam in the closed cycle.

2. Specific work generated by the turbine.

3. Power generated by the turbine.

4. Heat rejected to cooling system by the condenser.

5. Specific work into the pump.

6. Heat flux introduced by the boiler

Please Help me, Ive posted this question a few times,and I don't understand why they use turbine inlet pressure instead of the boiler pressure.

Whats also confusing me is how they get h1 ,h2,h3 and h4 from the tables if the figures do not correspond.

Id really appreciate it if someone can properly explain this to me.

(12%) For the following 4 functions, check if you can calculate a constant c so that the function is a PDF over the whole plane or state that such c does not exist and the corresponding function is not a PDF (state the reason for that). Note the signs of the coefficients of x2 and y2 are all different). You do not have to calculate the constant c; just provide reasoning for if that exists or not.

f(x, y) = c e^(-x^2+xy-y^2 )

g(x, y) = c e^(-x^2+xy+y^2 )

h(x, y) = c e^(x^2+xy-y^2 )

k(x, y) = c e^(x^2+xy+y^2 )

f(x, y) = c e^(-x^2+xy-2y^2 )

g(x, y) = c e^(-x^2+xy+〖2y〗^2 )

h(x, y) = c e^(x^2+xy-2y^2 )

k(x, y) = c e^(x^2+xy+〖2y〗^2 )

Solve y"+y=u(t-pi/2)+3 delta(t-3 pi/2)-u(t-2 pi), by laplace transform methods with y(0)=y'(0)=0.