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Write Logz = u(r, θ) + iv(r, θ), where z = reiθ. Find the functions u(r, θ) and v(r, θ).

Complex Analysis Questions Instructions: Do not open this exam until instructed to do so. You will have 50 minutes to complete the exam. Print your name and student ID number above. You may not use calculators, books, notes, or any other material to help you. Make sure your phone is silenced and stowed where you […]

Find all functions-f(x) is a continuous and differentiable function throughout the domain of real numbers.

Algebra Find all functions Find all functions f: R → R that satisfy the following conditions: f(x) is a continuous and differentiable function throughout the domain of real numbers. f(0) = 1 and f(1) = e (where e is the base of the natural logarithm). f(x)f(y) = f(xy) + f(x + y) for all real […]

Calculate the expected sterling receipts in one month and in three months using the forward market.

Mathematics 1.Answer and show working out with the following maths questions: Assume the following information   Quoted price Spot rate of Euro 0.80 USD 90 day forward rate of Euro 0.79 USD 90 day European interest rate 4% 90 day U.S interest rate 2.5   Given the information above, discuss if covered interest arbitrage worthwhile […]

Prove that if p is a prime number and x, y, z are positive integers and p divides x y z then it divides at least one of x, y, z.

Discrete Math Discrete Math Final Spring 2023    Yoram Sagher Your solutions should be submitted through Canvas in .pdf in 150 minutes. Find all x so that |x 1| 3|x 2| 7|x 4| 16 Prove that if r1 an r2 are rational numbers and r1 r2 then there are irrational numbers , x1 and x2 so […]

Create a developmentally appropriate 1-week instructional math unit for a concept area of your choice, focusing on one age/grade level from pre-K to Grade 3

Wk 5 – Signature Assignment: Instructional Math Unit Assignment Content Create a developmentally appropriate 1-week instructional math unit for a concept area of your choice, focusing on one age/grade level from pre-K to Grade 3. Use this template to help you include all requirements. ECH 416 Week 5 Signature Assignment.docx Include the following components in […]

Implement a graph data structure in Java and write a method to perform a depth-first search (DFS) starting from a given vertex.

Algorithms & Data Structures TASK Given an array of integers, find all possible subsets of the array. For example, if the input array is [1, 2, 3], the output should be [], [1], [2], [3], [1,2], [1,3], [2,3], [1,2,3]. Implement a graph data structure in Java and write a method to perform a depth-first search […]

The probability that the cube contains at least one vertex such that the three faces of the cube sharing that vertex are all painted the same color is p/q. Find this fraction.

Probability TASK Each face of a cube is painted red or blue, with the colors chosen randomly and independently. The probability that the cube contains at least one vertex such that the three faces of the cube sharing that vertex are all painted the same color is p/q. Find this fraction.  

In how many ways can we select a committee of three men and five women from a group of seven distinct men and nine distinct women.?

MATH 3013 – Discrete Mathematics Directions: Show the significant steps of your work clearly for ALL problems. You may receive zero or reduced points for insufficient work. Find an explicit formula for the recurrence relation (a) an = −3an−1 + 11an−2 + 3an−3 + 10an−4 (b) an = 13an−1 − 57an−2 + 99an−3 − 54an−4 […]

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