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In how many ways can a committee consisting of 3 faculty members and 5 students be formed if there are 11 faculty members and 12 students eligible to serve on the committee?
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Assessment Task Practical Investigation - Question 1 requires selecting reference points from the graph. It is expected that each student will choose different reference points to other students. Take note of the criteri ...
Assignment - Solving the five question in the very details, thanks a lot. Question - Let a ∈ P n be a point. Show that the one-point set {a} is a projective variety, and compute explicit generators for the ideal I p ({a} ...
Instructions The aim of the assignment is that the student/group studies and applies numerical methods such as Euler's method, the Improved Euler's method and the Runge-Kutta method to solve first-order differential equa ...
Mathematics- Algebraic Geometry Problem Let K denotes an algebraically closed field and let P 1 be constructed as in Example 5.5(a) in Gathmanns notes, i.e. P 1 is the gluing of X 1 = A 1 and X 2 = A 1 along the open su ...
Assignment - Question 1. Let (T, ∧, ∨,', 0, 1) be a Boolean Algebra. Define ∗ : T × T → T and o : T × T → T as follows: x ∗ y := (x ∨ y)' x o y := (x ∧ y)' (a) Show, using the laws of Boolean Algebra, how to define x ∗ y ...
Questions - Q1. Prove the following identities a. sin(x + y) + sin(x - y) = 2 sin x cos y b. sec(x - y) = cos(x + y)/(cos 2 x - sin 2 y) c. tan 2 x - sin 2 x = (tan x sin x) 2 Q2. Solve the following equations for x ∈ [0 ...
Assignment - Provide solution to the following questions: Q1. Evaluate the following: ∫xsin3x dx Q2. If , then for what value of α is A an identity matrix? Q3. The line y = mx + 1 is a tangent to the curve y 2 = 4x. Find ...
Maths Assignment - 1. Analysis of a data set Using a continuous data set you are requested to collect in the types of data and gathering data section, perform a statistical analysis on your data. You have opportunities t ...
1. Suppose that n = 10088821 is a product of two distinct primes, and Φ(n) = 10082272. Determine the prime factors of n. 2. It is easy to show that the converse of Fermat's Theorem does not hold; i.e., the congruence a n ...
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