In September 2024
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name the two drivers of the market share of Islamic banking assets and elaborate on their effects and their driving role in the economic growth.
Suppose that 𝑑𝐴 𝑑𝑡 = −0.0004332 𝐴(𝑡) represents a mathematical model for the radioactive decay of radium – 226, where 𝐴(𝑡) is the amount of radium (measured in grams) remaining at time 𝑡 (measured in years). How much of the radium sample remains at the time 𝑡 = −0.002 with initial condition 𝐴(1) = 0.005
Consider a flask that contain 3 liters of salt water. Suppose that water containing 25 grams per liters of salt is pumped into the flask at the rate of 2 liters per hour, and the mixture, being steadily stirred, is pumped out of the flask at the same rate. Find a differential equation satisfied by the amount of salt 𝑓(𝑡) in the flask at time 𝑡.
A pond on a fish farm has a carrying capacity of 1000 fish. The pond was originally stocked
with 100 fish. Let N(t) denote the number of fish in the pond after t months.
a) Set up a logistic differential equation satisfied by N(t), and plot an approximate graph
of a fish population.
b) Find the size of the population of fish with the highest rate of growth. Find this rate
given that the intrinsic rate of growth is 3.
Consider and solve the initial value problem of a new form of life discovered on a distant planet. Outside its habitable zone, the rate of change of population of the life form is governed by the following data: 𝑑𝑦 𝑑𝑥 + 𝑦 = 𝑓(𝑥), 𝑤ℎ𝑒𝑟𝑒 𝑓(𝑥) = { 𝑒 −𝑥 , 0 ≤ 𝑥 < 2 𝑒 𝑥 , 𝑥 ≥ 2 ; 𝑦(0) = 1
Objective:
Design a class called NumDays. The class’s purpose is to store a value that represents a number
of work hours and convert it to a number of days. For example, 8 hours would be converted to
1 day, 12 hours would be converted to 1.5 days, and 18 hours would be converted to 2.25 days.
The class should have a constructor that accepts a number of hours, as well as member
functions for storing and retrieving the hours and days.
The class should also have the following overloaded operators:
• + Addition operator. When two NumDays objects are added together, the
overloaded + operator should return the sum of the two objects’ hours members.
• − Subtraction operator. When one NumDays object is subtracted from another,
the overloaded − operator should return the difference of the two objects’ hours
members.
1. Human colour vision is “produced” by the nervous system based on how three different cone receptors interact with photons of light in the eye. These three different types of cones interact with photons of different frequency light, as indicated in the following chart:
Cone Type Range of Light Frequency Detected
S 6.00-7.49 x 1014 s-1
M 4.76-6.62 x 1014 s-1
L 4.28-6.00 x 1014 s-1
What wavelength ranges (and corresponding colours) do the three types of cones
detect?
1. Subshells half-filled with electrons are particularly stable. Can you suggest a possible
physical basis for this claim?
Get the distinct ids of videos that belong to the following genres.
genre_id genre
201 Comedy
202 Action
203 Thriller
211 Scifi
Note:
Sort the output in the descending order ofvideo_id
Expected Output Format
video_id
Please help
Aneco an Electrical Company claims that the average lifeof the bulbs it manufactures is 1,200 hours with a standard deviation of 250 hours. If random sample of 100 bulbs is chosen, what is the probability that the sample mean will be.
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#340153 on Dec 2023