Let X1 and X2 be uniformly distributed in the region [−1,1]×[0,1]∪(1,2]×(1,3].

1. Find Joint and Marginal pdf of X1 and X2.

2.Find V (X1 + 3X2) ，( I‘ve asked this question already, but the person didn't give me the correct answer, so please, dont waste my question, if you dont know how to answer this question.)

Dopamine hydrochloride injection is available in 5-mL ampuls containing 40 mg of dopamine hydrochloride per milliliter. The injection must be      diluted before administration. If a physician wishes to use sodium chloride injection as the diluent and wants a dilution containing 0.04% w/v of    dopamine hydrochloride, how much sodium chloride injection (in milliliters)            should be added to 5 mL of the injection?

During the transfer of two electrons from NADH to O2, protons pumped across the membrane to establish the electrochemical gradient. The amount of energy from previous problem consumed for maintaining membrane potential deltaY and gradient of protons across the membrane. Calculate the ratio of proton concentrations across the inner mitochondrial membrane, if the membrane potential was measured at 37 degrees C to be deltaY= 2.0 V.

A direct hydrogen fuel cell uses hydrogen and air (oxygen) to produce electricity, as we showed in class.

If you wanted a voltage of 2.2 V for your fuel cell device (which can be made of multiple cells), what mix of conversion and/or number of cells would you want to use? Remember: the voltage of cells in series adds up. There are a variety of possible answers.

Solve this comp architecture problem:

Supposed you have an array int* arr = {3,7,6,4,5}. The values in arr store in the memory of 0(x21), 8(x21), .... , 32(x21). Transform the following RISC-V code into a C program.

ld x5, 16(x21)

addi x6, x0, 3

sll x5, x5, x6

sd x5, 8(x21)

A voltaic cell consists of a Pb/Pb2+ half-cell and a Cu/Cu2+ half-cell at 25 ∘C. The initial concentrations of Pb2+ and Cu2+ are 5.00×10−2 M and 1.70 M, respectively. What is the cell potential when the concentration of Cu2+ has fallen to 0.250 M ? What are the concentrations of Pb2+ and Cu2+ when the cell potential falls to 0.37 V?

The voltage drop across an RLC circuit is:

v(t) = G*311.13*sine(377t) + 124.45*sine(1131t + 20) volts.

The current in the direction of the voltage drop is:

i(t) = 15.56*sine(377t) + 0.5*sine*(1131t - Φ)

Calculate:

a) The constants R, L, C of the circuit.
b) The angle value Φ
c) The average value of the power delivered to the circuit.

The speed of a runner increased steadily during the first three seconds of a race. Her speed at half-second intervals is given in the table. Find lower and upper estimates for the distance that she traveled during these three seconds.

A circular loop in the plane of the paper lies in a 0.78 T magnetic field pointing into the paper.

A) If the loop's diameter changes from 16.6 cm to 6.4 cm in 0.63 s , what is the direction of the induced current? Clockwise or Counterclockwise?

B) What is the magnitude of the average induced emf? Answer in V.

C) If the coil resistance is 4.3 ohm , what is the average induced current? Answer in A

How does temperature affect the band structure and the I-V characteristics of semiconductor devices?

How does changing the carrier lifetime affect semiconductor devices?

For a GaAs PN junction, imagine that the device is to be used as a photo-diode. What width of intrinsic layer would you want to design the device with if the photons only absorb in the depletion/intrinsic regions? Assume: wavelength = 0.75um.