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How does Phillips curve explain the relationship between inflation and unemployment along with it graph explanation

Find


lim tan x sec^2 x- x/x^3


x→0

The equation y = 5Sin (3x -4t), where y is in millimetres, x is in metres and t is in seconds represents a wave motion. Determine the frequency of the wave



The following C++ program segment computes C = A * B, where A is an “m” by “n”

matrix, B is an “n” by “r” matrix and C is an “m” by “r” matrix.


for (long int i = 0; i < m; i++)

for (long int j = 0; j < r; j++)

{

long double Sum = 0;

for (long int k = 0; k < n; k++)

Sum = Sum + A[i][k] * B[k][j];

C[i][j] = Sum;

}



i) How many times does the code iterate in computing Sum?

ii) How many times does the code iterate in computing the j column of C, i.e. C[i][j] for a fixed i and j = 1, 2, 3, ..., r?

iii) How many times does the code iterate in computing the complete matrix C?


a)

i) Give an inductive formula for the sum of the first n odd numbers:

1 + 3 + 5 + ... + 2n -1

Show your induction process.


ii) Use the proof by mathematical induction to prove the correctness of your

inductive formula in i) above.


How many molecules are there in 0.08 mole of urea?

A study was conducted to determine the average salary of a teacher. With this, 81 teachers were invited as samples. It was known that the mean salary of these sample teachers is Php 24,000.00 with a standard deviation of Php 1,000.00. Construct a 90% confidence interval estimate for the average salary of all teachers.

Mrs. Balao is randomly choosing 3 students for a team who will compete in a math quiz bee, and there are 5 girls and 8 boys to choose from. What is the probability of having a team made up 2 girls and a boy?


Draw the resonance structures of cyanate ion. Out of them which one is less important 

as a resonance structure and why?



[6:28 pm, 17/02/2022] Anshuman✌️: Suppose that business travelers and vacationers have

the following demand for airline tickets from New York

to Boston:

QUANTITY DEMANDED QUANTITY DEMANDED

PRICE (BUSINESS TRAVELERS) (VACATIONERS)

$150 2,100 1,000

200 2,000 800

250 1,900 600

300 1,800 400

a. As the price of tickets rises from $200 to $250, what

is the price elasticity of demand for (i) business

travelers and (ii) vacationers? (Use the midpoint

method in your calculations.)

b. Why might vacationers have a different elasticity

than business travelers?


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