(1)-(3) 13 (23)+(-) 28 7(2)

Q: √√/625 2 EVA tratical —

A: Here we use , (x^m)^n=x^mn                          (x^m)(x^n)=x^(m+n)

Q: prove that

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Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given,         wxyz21-152427-2410-3218-224035-32

Q: -1.30 Find the value of the integral 100 √x dx by using simpson method (n = 6)?

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Q: Exercise 7. Let f(2)=4Re(2) and C be the line segment connecting 1+i to 0. Then the integral of f…

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Q: Let V = R³, the vector space over R of dimension 3. (a) Give an example of a subspace of V. (b)…

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Q: Convert each pair of polar coordinates to rectangular coordinates. 5π 7) 2, 3π 2 8) 1,

A: To convert each pair of coordinates to rectangular coordinates.

Q: ]] x² + y² 1+ y² dx dy

A: We have to evaluate the integral ∬x2+y21+y2dxdy, Where D:0≤x≤y≤1 Here, limit of x is 0≤x≤y And limit…

Q: There are many examples of the Fibonacci sequence in nature. O True False

A: The Fibonacci numbers, normally abbreviated as Fn are a mathematical collection wherein every…

Q: @Fs | F(x) = -P Fc [ful] preef: Hell

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Q: a Show that the pattern above can be cleared in 11 steps. b Explain why it is impossible to clear…

A: I'll only answer parts (a) and (b) here, since they are related to the same problem. Please resubmit…

Q: Let m be a positive integer. Define the set R = {0, 1, 2, ..., m-1). Define new operations and on R…

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Q: If f(r) = cot + tan -1 4 -¹ (-) prove that f'(r) = 7² +4

A: In this question, the concept of derivatives is applied. Derivative A derivative can be used to…

Q: Solve the given initial-value problem.

A: Given,            X'=1201-12X,  X(0)=49

Q: Let f(x) € Q[x] \ Q and KC C be the splitting field of

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Q: Write each expression in radical form. (x + 2)3 -(m - 2)5 2 2c3

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Q: 3. Let U= {x: xEZ, 0<x< 15} A = { x: x E N and (x − (m + 3)(x − (m + 2) = 0}, B = {8,6,7,9} and - a.…

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Q: Evaluate the indefinite integral as a power series. x³ In(1 + x) dx √x³ In Σ f(x) = C + n=1 What is…

A: Given integral is ∫x8ln1+xdx. We have to evaluate the indefinite integral as power series and then…

Q: f(x) = 3.x-3 et. 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

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Q: What is the second line of f in two-line notation? Enter it as a list of numbers separated by single…

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Q: a) rsine de + (r3-2r² cose + cos0)dr = 0.

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Q: In 7₂ [X], show that the distinct

A: To prove that the distinct polynomials x4+x  and x2+xin ℤ3x determine the same function from  ℤ3 to…

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A: Note : As per our policy, we are allowed to answer only first two part of question kindly post…

Q: Choose the CORRECT statements for the differential equation: y" -8y' + 16y = 0. I. The…

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Q: a) Solve the following Initial value problem by using Laplace transforms: y" - 2y' + y = e¹²t; y(0)…

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Q: 2. $+5 (s+1)(x-3)

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Q: Encryt the message "GO." by translating the letter into number, applying the given encrytion…

A: Given: Message "GO" and the transfer function f(p)=(p+3) mod 26. To find: The encrypted message.

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

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Q: (c) Show that the ideal generated by x² + y² + z² € C[x, y, z] is a prime ideal.

A: If &lt;x2+y2+z2&gt;is not a prime ideal, there should exist g,h∈ℝx, y, z s.t. x2+y2+z2 | gh,…

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A: Correct answer is quadratic. As end behaviour of a quadratic equatic equation is same.    Answer :-…

Q: 4. Find the inverse z-transform of (z-a)(z-b)(z-c)

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Q: 5. Evaluate the following integrals: (a) cos(x) dx dy (b) [²√ √²-* e-1²-y² AN и dy dx (Hint: Use…

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Q: Find the derivative of the given function. y = - 9sin (5x4 - 6) dx ||

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Q: Note : My ID = 21160 1. Convert last 5 digits of your ID to binary number and hexadecimal number.

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Q: x=r-s, y = Q2/ Find ow/or if w = (x+y+z)³, cos(r+s), z = sin(r+s) at the point (r, s) = (0.1)

A: Given,            w=x+y+z3;   x=r-s, y=cos(r+s), z=sin(r+s)  at point (r, s) = (0, 1). To find :…

Q: (b) If V = R", and U is a subspace of V of dimension m with 0 <m <n, prove that U² = {v € V: B(u, v)…

A: As per our guidelines we are supposed to solve only one problem. For the solution of the first…

Q: Root-finding techniques Bisection • Solve for the root of f(x) = sin 4x if x₁ = -2 and x = −1

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Q: 19-f(t)=t-sin 2t; 20-f(t)=e" cos 2t.

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Q: For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A),…

A: Given the matrix A=daig(-2,-1,2) is diagonal matrix Therefore the eigen values of A are -2, -1, 2.

Q: For the matrix A, find (if possible) a nonsingular matrix P such that PAP is diagonal. (If not…

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Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₂ + x₂ +5x₂ = 5 is ?. a)…

A: The number of degenerate basic solution of the system is nCm. So 3C2 which is 3!/2!

Q: 24) Find the maximum eigen value for the system A ¹ (0) = (1 1) with initial vector

A: In this question, the concept of the eigenvector is applied. Eigenvector Eigenvalues are a unique…

Q: Let S be part of the outward-oriented hyperboloid of one sheet x² + y² = z² = 1 that lies within the…

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Q: Enter the smallest subgroup of M₂ (R)* containing the matrix -5 -3 7 4 as a set

A: Given: -5-374∈M2ℝ* To find: Smallest subgroup of M2ℝ* containing given element.

Q: 2. Gauss-Seidel's Method. Stop at 4th iteration. (correct to 3 decimal places) 15x + 3y - 2z = 85…

A: Use the procedure of Gauss Seidal method with initial guess (0,0,0) to proceed further as in next…

Q: Let C be the curve of intersection of the paraboloid a² + y² = z and the cylinder +(y-1)² = 1 (a)…

A: Given that C is the curve of intersection of the paraboloid x2 + y2 = z and the cylinder x24 + y -…

Q: Let G be the interval (2/3, ∞). Let be the operation on G such that, for all x, y € G,…

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