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Q: Let A=(1, 2,3,4,5,6,7,8,9,10,11,12) how many different non-empty subsets are there in set A

A: Given,            A=(1, 2,3,4,5,6,7,8,9,10,11,12) We have to determine the number of different…

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Q: а ) 0 0b0 0 11. Using cofactor method, prove that det M = 0 0 = abcd 0. 0 0 0 d a? a3 12. Using…

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Q: Problem 1: Consider the piecewise function below: 2x – 1, x > 4 f(x) = { Vx, x = 4 (x² +5, x<4 Use…

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Q: 2. Solve for x the equation sin1 3x - cos1 2x = 6

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Q: Use Newton's Method to find the two solutions of eª = 4xl to six significant figures. 12 1,0 -1…

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Q: Symbolic Logic-Solve the following arguments: do not use CP or IP: 1. (x)[Gx Ɔ (Bx • Hx)] 2. (x)[Hx…

A: 1.  ∀xGx⊃Bx.Hx                  Premise 2. ∀xHx∨Rx⊃Wx                  Premise 3. Ga⊃Ba.Ha…

Q: 1. Let the universal set U = {x | x e natural numbers, 0 < x < 9}, A = {2, 4, 7, 9}, B = {1, 3, 5,…

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Q: 2. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction…

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Q: The half range sine expansion for f(t) = t¯+ t, 0<t<1 is F(e) = 4 -". [(-1)^ – 1]/n °n´ + [(-1º –…

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Q: Find the N-point Discrete Fourier Transform X[k] for the following sequence: 0<n<N-1 x[n] = 0,…

A: The given sequence is xn=13n,0≤n≤N-10,Otherwise. We know the the discrete time Fourier transform of…

Q: (-1 0 1 Consider matrix A = |-7 1 1 2 4 1 (-2 0 5) Calculate det(A³) [Please enter your answer…

A: Find determinant of A by taking first row. After that we will get a matrix of 3×3 find determinant…

Q: Find all the roots of f (z) = 2z% + 81/3 – j81 |3D

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Q: Q, has how many edges ? k

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Q: 16 Use the properties of logarithm to simplify the following expressions. a) In e0.001 b) eln r? c)…

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Q: dy if x cosy =x+y. Hence find the value of dx dy if x = 0. dx 4. Find

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Q: Calculate the sum of angles 1, 3, and 8 in degrees. [Image 22 21 3x +7 42/23 B. 2425 6/4x + 5…

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Q: Question 4 The well-known Fibonacci Sequence Fo, F1, F2, ... is generated by the relation Fk = F1 +…

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Q: Determinant of n x n Matrices. Solve for the determinant of the following matrices using (a)…

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Q: 18 Compounded continuously formula: A = Pert $50,000 is compounded continuously at interest rate of…

A: Compounded continuously formula

Q: 6 Use long division to divide. a) (x³ – x² + 2x – 8) ÷ (x – 2) b) (æª – 4.x² + 6) ÷ (x² – 1) -

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Q: a) Three Sets Å, B and c. EXER:2ト_xS Ex ER: X S 23 EXER: -2 Ź x <3} Fallaws. 4. are A = R £QUIRED…

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Q: QUESTION 23 For the directed graph shown below, determine the reachabi ity matrix. O. O a[110 1 1 10…

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Q: Find the expansion of (x + y)4 using Binomial Theorem.

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Q: wwws 23 う dl %00 Use the circle to answer the question. 15 ft The circumference of a circle is C =…

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Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

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Q: Suppose you know that for land i 4 thc output is 1. What type of logical gate is in the "box ?

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Q: Use the Laplace transform to solve the given initial-value problem. y" + y = V2 sin(V2t), y(0) = 11,…

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Q: is convergent Vn3 + 4n + 5 or divergent. n=1

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Q: It is possible to write æ* as a linear combination of Chebyshev's polynomials, for example a² =…

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Q: 13 Graph f(x) = 3ª, and use transformation to sketch the graph of a) g(x) = 3-* b) h(x) = 3"-2

A: Introduction: For a given parent function, we can construct different new functions by transforming…

Q: 4 Write the equation of the parabola given vertex and a point. a) vertex (-2,5); point (3, 6) b)…

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Q: hellllp answer for me the 5 que

A: 1. Given, the system of the equations                    x2+2x-y+1=0…

Q: 9 Use Remainder Theorem to find each function value. a) f(x) = 6xª – 5x³ + 8x – 11 - b) Find f(4)…

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Q: Approximate the root of the following function using bisection method, approximate error < 0.00001…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: 1. Show that cosh 4x = 8cosh4x - 8cosh? x + 1.

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Q: F(1, y, 2) = (2c" cos(3y), –3e²" sin(3y) + VV:). a. Find divF(x, Y, 2) and curlF(x, y, z). b. Based…

A: This is a problem of multi-variable calculus.

Q: f(x)= √2x^2+3x+6 (all under root symbol) f^1(x)= f^1(1)=

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Q: 24 Write nth term of geometric sequence. а) ај — 6, r — 3 b) a1 = 200, r = 0.5 %3D

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Q: 23. Find the number of different arrangements of the set of the six letters j, o, y, f, u, l: a.…

A: (a) The number of permutations of n distinct objects taken r at a time, denoted by Prn and is given…

Q: Find the value of x, if log, (x)= 5 Оа. 25 1 O b. 32 O c. 10 O d. None For the given Demand and…

A: Solution