Why is a V vs S plot often inadequate for determining enzyme kinetic constants, and how do various alternate plotting methods allow these values to be determined more adequately? Give examples of alternate methods of kinetic analysis and their utility.

The V vs S plot is inadequate because it makes the assumption that it’s only for a single subunit and substrate. The line on the graph usually represents a line that best fits the data and are not completely accurate. This only measures free enzymes or unstable enzyme substrate complex. An alternate method

Two capacitors C₁ = 5.1 ?F, C₂ = 19.8 ?F are charged individually to V₁ = 14.9 V, V₂ = 3.4 V. The two capacitors are then connected together in parallel with the positive plates together and the negative plates together.

Calculate the final potential difference across the plates of the capacitors once they are connected.

C) By how much (absolute value) is the total stored energy reduced when the two capacitors are connected?

Part a is 5.76V

Part b is 4.66E-5 C

Please help me with part c! In J please

You have three capacitors: C1 = 1500. μF, C2 = 2400. μF, and C3 = 3600. μF. Find Ceq for a) all in series b) all in parallel c) c1 and c2 are in parallel and c3 in series with them d) c2 and c3 in parallel and R1 in series with them, e)c1 and c3 in parallel and c2 in series with them. f) For one of the three arrangements where only two of the caps are connected in parallel, calculate the ∆V ’s and Q’s for each capacitor in that arrangement, if connected to a E = 12.00 V EMF.

1. Consider the following second-order differential equation. d^2x/dt^2 + 3 dx/dt + 2x − x^2 = 0 (a) Convert the equation into a first-order system in terms of x and v, where v = dx/dt. (b) Find all of the equilibrium points of the first-order system. (c) Make an accurate sketch of the direction field of the first-order system. (d) Make an accurate sketch of the phase portrait of the first-order system. (e) Briefly describe the behavior of the first-order system

Problem 5)
A long shunt 600 V, 1200-rpm DC motor has a series field winding resistance of 0.05 Ω, a shunt field winding resistance of 200 Ω, and an armature resistance of 0.1 Ω. The machine is connected to 600 V DC source. The rotational loss is 3.2 kW. If the machine draws a 100 A from the supply, calculate
a. Back EMF
b. Determine the machine’s converted power (or developed power) and its efficiency.
c. Determine the speed regulation if the machine draws 165 A at full load.
  

Question 5 Python Language

1. What is the output of the following code ? (2 points)

a, b = 0, 1

while b < 10: print b

a, b = b, a+b

B. Explain List Comprehension (2 points)

Given v = [1 3 5]

w = [ [2*x, x**2] for x in v] What is the content of w?

c. What is tuple ?   What is the difference between tuple and list ? (2 points)

D. What is a module ?   What is the role of     all    ? (2 points)

The PARTITION INTO PATHS OF
LENGTH 2 problem is as follows:
INSTANCE: A graph, G = (V, E) with IV| = 3q for a positive integer q.
QUESTION: Is there a partition of V into q disjoint subsets VI, V2, ...,
Vq of 3 vertices such that, for each V1 = {Vi[1], Vi[2], Vi[3), at least two of the
three edges {Vi[1], Vi[2], {Vi[1], Vi[3], and {Vi[2], Vi[3]} belong to E?
Prove the PARTITION INTO PATHS OF LENGTH 2 problem is NP-
complete.

Use pigeonhole principle to solve please: will upvote!

Let V = {v1,…,vk} be any set of vectors in R^2 (Real Numbers to the power of 2). Suppose n agents each start at (0,0) and each takes a mV-walk where a mV-walk consists of a sequence of exactly m steps and each step moves the agent along a vector in V. Prove that, if n > (m + k − 1 , k − 1) (these are two separate terms in one parenthesis), then some pair of agents finishes their walk at the same location.

Two capacitors C₁ = 5.9 ?F, C₂ = 16.2 ?F are charged individually to V₁ = 15.7 V, V₂ = 4.9 V. The two capacitors are then connected together in parallel with the positive plates together and the negative plates together.
Calculate the final potential difference across the plates of the capacitors once they are connected.

Calculate the amount of charge (absolute value) that flows from one capacitor to the other when the capacitors are connected together.

By how much (absolute value) is the total stored energy reduced when the two capacitors are connected?