9. Let G be a bipartite graph and r ∈ Z>0. Prove that if G is r-regular, then G has a perfect matching.1

10. Let G be a simple graph. Prove that the connection relation in G is an equivalence relation on V (G)

Find the matrix A representing the follow transformations T. In each case, check that Av = T(v)

T(T(x,y,z))

where T(x,y,z)=(x-3y+4z, 6x-2z, 8x-y-4z)

write down comparative analysis between BD HPV onclarity assay v/s Qiagen careHPV test for cervical cancer. in which includes Explanation and methodology of both test?
if you need any additional information let me know.

1. An RLC series circuit has a 60 Ω resistor, a 3.5 mH inductor, and a 6 μF capacitor.
   1. Find the circuit’s impedance at 55 Hz and 12 kHz.
   2. If the voltage source has V_rms = 110 V, what is I_rms at each frequency?    

You want to use the idea of electromagnetic induction to make the bulb in your small flashlight glow; it glows when the potential difference across it is 1.5 V. You have a small bar magnet and a coil with 100 turns, each with area 3.0

A Vi = 10-3 m3 chamber of a gas bottle contains some argon gas (atomic weight = 0.040 kg/mole) at a pressure of 104 Pa and a temperature of 34� C. 1)What is the number density of atoms in this chamber? N/V =

Knowing: ε=V_4/V_1 =10, ρ=V_2/V_1 =2, and γ=1.4 for the cycle represented in Figure 2, calculate the Diesel cycle efficiency and compare the value with the Carnot efficiency. Draw the V-T, and P-T cycle diagrams.

What is percent yield fro your synthseis of octyl acetate (acetic anhydride and 1-octanol)? V of ctyl acetate is 1.53 mL.

3 mL of acetic anhydride and 2 mL 1-octanol. One drop of concentrated sulfuric acid.