The KM Corporation builds widgets in Washington. It combines capital (K) and labour (L) in the production function in the following way:

Q(K,L) = K^1/3L^1/3 Labour cost: w = $10       Capital rental cost: v = $160

Illustrate this optimum McMansion production choice in an isoquant diagram. Label everything.

If a non•homogeneous system of equations has one dependent row or equation, then (select all that apply): i) the RREF of the augmented matrix will have a row of zeros ii) there will be infinitely many solutions iii) the complementary homogeneous solution will have many solutions iv) the coefficient matrix will not have an inverse v) none of the above

Let Y1 and Y2 have joint pdf f(y1, y2) = (6(1−y2), if 0≤y1≤y2≤1 0, otherwise. a) Are Y1 and Y2 independent? Why? b) Find Cov(Y1, Y2). c) Find V(Y1−Y2). d) Find Var(Y1|Y2=y2).

Two 3.0 mm × 3.0 mm electrodes are held 0.10 mm apart and are attached to 7.0 V battery. Without disconnecting the battery, a 0.10-mm-thick sheet of Mylar is inserted between the electrodes.

What is the capacitor's electric field after the Mylar is inserted?

PS: 6.98*10^4 is not correct answer

Evaluate the following integral ∫ ∫ R 4x + y (3x − y) ln(3x − y) dA where R is the region bounded by the graphs of  y  =  3x − e7,  y  =  3x − e5,  y  =  −4x + 8,  and  y  =  −4x + 5. Use the change of variables  u  =  3x − y,  v  =  4x + y.

Read Hornung v. Commissioner, 47 T.C. 428 (1967), which involves the constructive receipt doctrine and how it was used to determine the year of inclusion in taxable income. How does the constructive receipt doctrine impact a cash-basis individual’s taxable income? What factors could have resulted in a different determination?

a) In the middle of a coil, the magnetic field induction is B0 = 0.5 T. Determine the magnetic field induction B along the axis of the coil at its edge. b) In the middle of a capacitor, the electric field intensity is E0 = 1000 V/m. Determine the electric field intensity E between the capacitor plates at the capacitor edge

Is EPA providing a public good for US? What are some of the problem with public goods? What's the free rider problem? Does the free rider problem justify the existence of EPA? please try to be as detailed as possible.

here is a short youtube video to watch

https://www.youtube.com/watch?v=YHLSENkD6rk

https://youtu.be/PV9Lm17yWN8

Two identical plate capacitors each with the capacity C = 0.01μF are connected in parallel. The capacitors were charged to a voltage of U = 300 V and disconnected from the voltage source. The plates of one of the two capacitors were then pushed apart to a distance twice the original plate distance. What charge flows through the wires?

A) Given a vector electric field:
E i = x̅100e−γ z V/m                       Find the associated magnetic field.
B) If this field is normally incident on a uniform lossy medium with Er = 3.0, tan δ = 0.1, and μ = μ0    initially propagating in air, find bot h the reflection and transmission coefficients.