Expert Answers

(Solved): Consider the continuous function f(x,y)=(x^(2)-y^(2))/((x^(2...

Consider the continuous function f(x,y)=(x^(2)-y^(2))/((x^(2)+y^(2))^(2)) defined for all (x,y)in(0,1)\times (0,1)=:U, the open unit square in the first quadrant. ^(()6) You can plot this on Desmos 3D to see that ff takes on both positive and negative valuesdel_(y)((y)/(x^(2)+y^(2)))=(x^(2)-y^(2))/((x^(2)+y^(2))^(2)), and ,\int (1)/(1+u^(2))du=arctan(u)+C (a) Explain why f(x,y)>0f(x,y)<0 x>y>0y>x>0 ?_(U)|f(x,y)|dA=\int_0^1 \int_0^x (x^(2)-y^(2))/((x^(2)+y^(2))^(2))dydx+\int_0^1 \int_0^y (y^(2)-x^(2))/((x^(2)+y^(2))^(2))dxdy =2\int_0^1 \int_0^x (x^(2)-y^(2))/((x^(2)+y^(2))^(2))dydx Finally, evaluate the last integral and show that it equals +\infty . This shows that f is NOT absolutely integrable over U. As stated in class, Fubini's theorem applies to a continuous and absolutely integrable function. Does Fubini apply to a signed non-integrable function like this one?

(Solved): One of the major differences between aerobic vs anaerobic me...

One of the major differences between aerobic vs anaerobic methane oxidation is... Anaerobic methane oxidation using the reverse TCA cycle for

CO_(2)

fixation The source of electrons is ammonia for aerobic methane oxidation Quinones are not used-in the anaerobic methane oxidation The terminal electron acceptor is nitrite in anaerobic methane oxidation

student submitted image, transcription available below

(Solved): What is the momentum as a function of time of a 5kg particle...

What is the momentum as a function of time of a 5kg particle moving with a velocity v=(2.0i+4.0j)m/s ? What is the net force?

(Solved): At the location of the Earth, the Sun's intensity is rou...

At the location of the Earth, the Sun's intensity is roughly

1000(W)/(m^(2))

. a) What is the strength of the electric field of the Sun's radiation at the Earth? b) The sunlight hits the mirrors on the Primm Valley solar collector array. The mirrors have an area of one square kilometer. What is the total force felt by the mirrors of the array? c) The sunlight also hits the waters of Lake Mead. Suppose you are swimming (underwater) in Lake Mead and see the sunlight coming toward you at 25 degrees relative to the normal. The index of refraction of the water is 1.33 . What is the angle that the sunlight hits the water's surface relative to the normal?

student submitted image, transcription available below

(Solved): - . 2 Even though independent gasoline stations have been ha...

- . 2 Even though independent gasoline stations have been having a difficult time, Ian Langella has been thinking about starting his own independent gasoline station. Ian's problem is to decide how large his station should be. The annual returns will depend on both the size of his station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Ian developed the following table: \begin{tabular}{|l|c|c|c|} \hline \begin{tabular}{l} SIZE OF FIRST \\ STATION \end{tabular} & \begin{tabular}{c} GOOD \\ MARKET (\$) \end{tabular} & \begin{tabular}{c} FAIR \\ MARKET (\$) \end{tabular} & \begin{tabular}{c} POOR \\ MARKET (\$) \end{tabular} \\ \hline Small & 50,000 & 20,000 & \( -10,000 \) \\ \hline Medium & 80,000 & 30,000 & \( -20,000 \) \\ \hline Large & 100,000 & 30,000 & \( -40,000 \) \\ \hline Very large & 300,000 & 25,000 & \( -160,000 \) \\ \hline \hline \end{tabular} For example, if Ian constructs a small station and the market is good, he will realize a profit of \( \$ 50,000 \). e) Develop a decision tree.

(Solved): Consider the RLC circuit with L = 1.0 H, C = 0.40 mF, and R ...

Consider the RLC circuit with L = 1.0 H, C = 0.40 mF, and R = 100 W. The source is v S(t) = [2 + 8 u(t)] V. d 2 i L(t)/dt 2 + 100 di L(t)/dt + 2500 i L(t) = 0 (see HW #9 Solution Problem 3) Critically Damped s 2 + 100 s + 2500 = 0 gives s 1 = s 2 = - 50 sec -1 (a) Calculate vC(0 + ), i L(0 + ), and v C(+?). (3 pts.) (b) Determine the form of natural solution iLN(t) using the values for s 1 and s 2. (2 pts) (c) Determine the particular solution iLP(t). (1 pt) (d) Determine the complete solution i L(t) for t > 0. (3 pts.) (e) Apply KVL to find an expression for vC(t) in terms of i L(t) and calculate the resulting expression.

(Solved): 2.66. A particle of mass 4 moves in the force field defined ...

2.66. A particle of mass 4 moves in the force field defined by

F=-200(r)/(r^(3))

. (a) Show that the field is conservative and find the potential energy, (b) If a particle starts at

r=1

with speed 20 , what will be its speed at

r=2

? Aus. (a)

V=(200)/(r)

, (b)

15\sqrt(2)

(Solved): The inclusion of ethics in a research proposal is: Question...

The inclusion of ethics in a research proposal is: Question 11Select one: a. Sometimes required b. Always required c. Not required d. Not important whether they are included or not

(Solved): A diatomic ideal gas undergoes an isothermal expansion from ...

A diatomic ideal gas undergoes an isothermal expansion from a volume of

1.5m^(3)

and pressure 60 kPa to a final volume of

2.4m^(3)

. Calculate the change in the internal energy in kJ.

(Solved): Although international business can benefit the global econo...

Although international business can benefit the global economy, it also carries inherent risks. With regard to this, explain in full detail what an international business is and evaluate the most common challenges of international businesses.

We Provide Services Across The Globe