After studying the material in this module, please solve and submit the following problems from the module reading assignment on Sets from Math in Society, by D. Lippman (v. 2.4): #6, 14, 16, 20, 22, 26, 30, 34, 36, 44

Find the steady-state current ip(t) in an LRC-series circuit when L = 1 2 h, R = 20 Ω, C = 0.001 f, and E(t) = 100 sin(60t) + 200 cos(40t) V.

ip(t)

EXPLAIN ANSWERS PLEASE

The electric field intensity in a source-free, dielectric medium is given as ? = 2?0 sin(??) ?????⁡?̂ V/m.

Determine

(a) the magnetic field intensity using Maxwell’s equation from Faraday’s law, and

(b) the displacement current density in the medium.

If the voltage amplitude across an 8.50-nF capacitor is equal to 12.0 V when the current
amplitude through it is 3.33 mA, the frequency is closest to:
A) 32.6 MHz
B) 5.20 MHz
C) 32.6 kHz
D) 5.20 kHz
E) 32.6 Hz

Calculate the final temperature, in degrees Celsius, ∘C, for each of the following with n and V constant. A sample of air at 35 ∘C and 780 mmHg is cooled to give a pressure of 640 mmHg . Express your answer to two significant figures and include the appropriate units.

-- Find the linear approximation of the function f(x,y)= e^(x^2 + 4xy - 2y^2) at (1,2) using the aproximate f(0.99,2.01)

-- find Zvu for z= f(x,y), x=uv , y= v^2 + u^2

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Short Answer Questions.

a) Predict the effect (increase, decrease, no change) on the alkalinity of a natural water upon addition of the following compounds. Explain your answers:
i. CO₂
ii. HNO₃
iii. CdCl₂
iv. NH₃
v. Sulphate reduction (SO4^2- H2S)

How do you find the specific volume of R-134A at P=700 kPa and T= 120 C? I know it is from the tables but I can't seem to figure out how to get the number: v = 0.43358 m^3/kg

The acceleration of a rocket traveling upward is given by a = (8 + 0.02s) m/s2, where s is in meters.(Figure 1). Initially, v = 0 and s = 0 when t = 0.

Determine the time needed for the rocket to reach an altitude of s = 100 m .