1. We are revising the catalogue of modules for a programme, so that each student should choose 4 modules, any choice of 4 different modules is allowed, and there should be no more that 20 different combinations of 4 modules that a student can choose. What is the largest number of modules that we can offer?

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Q: f(t) = 9t²u₁o(t) + 6(t - 5)³u6(t) - 12 sin (-1) us(t) 3 15

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Q: 2. Which of the following is NOT a path in the graph? B E FO OA) FEBA OB) FBCCD OC) FEABCD OD) All…

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Q: The function f(n) = 0.0007n² + 1000n +5 is O O(nlogn) O O(n) O 0(1) O O(n²)

A: Here, f(n) = 0.0007 n^2 + 1000 n + 5

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Q: Transform * y = 3sinh (3t) 3 s² +9 3 s² - 9 OA) O B) Transform * s² + 1 S³ + s OA) OB) 1 - sint 9 s²…

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Q: Solve for x: Assume x is a negative number. 6 x - 4 = 2 = 0 -21

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Q: 35-36. Find the solution set for the constraints in the figure below. 3x + 2y ≤5; 2x + 5y ≤6; 3x -y…

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Q: A closed wood storage having a volume of 27 in.³ is to be in the form of a right-circular cylinder.…

A: We will use calculus to maximize volume

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Q: Given set U = {1,2,3,4,5,6,7,8,9,10} and A = {x | x is an odd number}. List the elements of set A.

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Q: Find the Laplace transform of the following: 1. g(t) = = t, (t - 4)², (9t - e 20-4t t < 3 3 ≤t<5 t≥…

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Q: K be algebraic over F. Then dimp (F(a1,..., an)) is finite.

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Q: Use the matrix 1 0 11 E -1 1 0 0 1 2 to obtain the Hill cipher for the plaintext message "HELP ME".

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Q: Example 2.41. Find all roots of the equation x³ - 2x² - 5x+6=0 by Graeffe's methoc squaring thrice.

A: Please find step by step solution below:

Q: San Francisco $45 L.A. $100 $45 $25 $75 $80 Denver $20 Chicago Dallas $90 San Diego How many edges…

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Q: What is the set of real values of c so that (A) [0, 1] (B) [0, 2] (C) [1, 2]

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Q: create 2 sample word problems of basic concepts of limits  with solutions

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Q: Let Find in terms of x and y. x=1+3a+6a² +10a³+, |a|<1 y = 1+ 4b+10b² + 206³ +.., |b|<1…

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Q: Suppose A is a 3×3 symmetric matrix such that [x_y_1]4|\y=xy-1. X If p is the number of positive…

A: My solution is correct,  so request you to check your options  for q please.

Q: Points D(z), E(2₂) and F(z,) lie on a cir E and F intersect at A, B and C. A, B, C a (a) Find the…

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Q: f(x) = sin (√x) - x

A: Solution : Fixed point iteration, f(x)=sin(x)-x Taking  a=-0.5b=0.5 f(a)&lt;0  and  f(b)&gt;0 Means…

Q: Example 2.35. Find by Horner's method, the positive root of the equation x³ + x² + x 100 = 0 correct…

A: Here we need to use Horner's method to find roots of the given equation

Q: Consider a point in Cartesian coordinates given by (3√3, -3, -8). (a) Find a corresponding…

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Q: Give an explicit example of each of the following: (a) Two power series f and g in the complex…

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Q: Question 3 Consider the following sequences 71 (i) In (1 + n) (ii) e^/(n²+1), (iii) √√n²+2n -7.…

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Q: Given the following: xex - cos x = 0

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Q: Solve the following quadratic programming problems and also illustrate the solutions using graphical…

A: For the solution of the problem follow the next steps.

Q: Q1 Find a formula for the nth partial sum of this Telescoping series and use it to determine whether…

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Q: 1. Consider a point in Cartesian coordinates given by (3√/3, -3, -8). (a) Find a corresponding…

A: For the solution of the problem follow the next steps.

Q: Find a Maclaurin series for f(x) = x² e-x giving the first four nonzero terms and the general term.

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Q: 4. Which of the following vertices are adjacent to vertex B? B E F OA) AEDC OB) AEFC OC) AEDFC OD)…

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Q: 4. y' + 2y" - 11y' - 12y = 11t - 9,y(0) = 0, y'(0) = 0, y" (0) = -3

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Q: If f(x) = x + sin(x) is a periodic function with period 2W, then a. It is an odd function which…

A: Introduction: A Fourier series is a sum of sine and cosine waves that represents a periodic…

Q: Which ONE of the following is NOT the critical point of the function f(x,y)=xye-(x² + y²)/2₂ A.…

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Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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Q: 8 3. Given the key matrix A [529] 17 3 A. Determine A-¹ where all the components of the matrix are…

A: Given the key matrix A=58173. a. To find the A-1 where all the components of the matrix are elements…

Q: create 2 sample word problems of basic rules of differentiation  with solutions

A: First problem: At what rate is the area of square increasing when the side increases at a rate of 2…

Q: Enter the smallest subgroup of M2(ℝ)× containing the matrix (−2 −1…

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Q: f (lnx + y) dx − a² dy, where & is the rectangle with vertices (1, 1), 1. Use Green's Theorem to…

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Q: 3) Application of Optimization Problems. Use bordered determinants to check the following functions…

A: Given that ,  Application of optimization problem (a) Z = -x2-y2 ,…

Q: Solve the following equation for x, assuming that the value of the parameter a is such that a…

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