If A is a 3 x 3 matrix and det(A) = -2 what is the determinant of (5A) A. 250 В. 1 250 С. 1 250 D. No correct answer E. -250

Q: 2. Find the general value of z in the complex number : e3z = - jl

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Q: 3. Use De Moivre's Theorem to solve for the roots of : a® – 1 - j1 = 0 O A. 1 cjs (T/24 + rtk) ; k =…

A: Introduction: DeMoivre's theorem is a significant theorem in complex analysis. It is used to find…

Q: 1. Complete the following table by placing ticks () to show which of the number sets N, Z, Q, R…

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Q: (4,28) is a maximum or a minimum point of the function g(x) = -x3 + 6x? – 4. Verify whether the…

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Q: 2. Find the general value of z in the complex number : - jl O A. J[(2/3)nk+ Tt/6] O B. J[(2/3)nk -…

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Q: Let u be a solution of the wave equation uu - 2u = 0. Pick four distinct characteristic lines two of…

A: Given: The wave equation, utt-c2uxx=0, of which u is a solution. Four distinct characteristic lines,…

Q: 6. We consider any holomorphic function f(2) : D → C \ {0}. An function g : N→ C is called a branch…

A: Fix a point p∈Ω, and consider gp a solution of  egp=fp The solution is always exits as fp≠0. let…

Q: ad been his friends and fellow Royalists, Sir Charles Lu pom, however, he was one day handed the…

A: Mark the third letter after each punctuation as follows Write the letters…

Q: Solve the Laplace Transform F(s) of the given f(t). f(t) = - cos(3t) sinh(4t) – 4

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Q: 1+a 1 1 1 1+b 1.1 1 + 1 Prove that 1 = abcd 1+ 1 + a 1+c 1 1 1 1 1+d

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Q: Let R be the rotation around the x-axis (counterclockwise in the positively oriented ON system). (a)…

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Q: Express your answer numerically as an integer. v View Available Hint(s) Hint 1. How many nonzero…

A: A number system is defined as a system of writing to express numbers. It is the mathematical…

Q: are independent co-ordinates of a point, show that = &

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Q: 3. For a metric space (X, d), the diameter of a subset A C X is defined by 6(A) := sup d(x, y).…

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Q: Find the solution for the system of Linear equations using Gauss-Jordan Elimination of the augmented…

A: Given equations are 32x + 4y - z = 3 →(1)x + 2y + 4z = 6 →(2)x + 2y - 2z = 0 →(3)

Q: In evaluating a double integral over a region D, a sum of iterated integrals was obtained as…

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Q: 3. Let f(z) = 1-z and y(t) = t+it for t E-1,1). (a) Sketch the image of the curve y. (b) Evaluate…

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Q: Problem 6. Consider the plane, X, in R³ given by the vector equation: x(s, t) = (1, –1,2) + s(1,0,…

A: Given, Vector equation- x(s,t)=(1,-1,2)+s(1,0,1) +t(1,-1,0);     s,t∈RTo find: c) Q is the…

Q: cos x- sin dx 1- sin 2x

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Q: Find 00 et (ii) L-1 [cot"" ())

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Q: Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: (H) L~* [cot** ())

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Q: Problem 5. Find all primes p such that 1+p· 2P is a perfect square.

A: Prime number : A prime number is a natural number greater than 1 that is not a product of two…

Q: Example 6-44. Show that eitr = 1 + (eit – 1) x(1) + (e# – 1)2 ) + + (eit – 1y. where x =x (x – 1) (r…

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Q: 1. Using Three point Forward difference, Backward difference, Central difference formula numerical…

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Q: 1 x + 2 on the interval [-2, 2]. Vertical cross sections that are The base of a three-dimensional…

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Q: Problem 3: Consider the IVP y" + ay + by = et, _y(0) = 1, y'(0) = 1. 1. Write the second-order IVP…

A: Given y"-y'-6y=e3t, y0=1, y'0=1. Substituting y'=z and y"=z', we get z'-z-6y=e3tz'=z+6y+e3t.

Q: Show that, if gcd(a,n)=gcd(a-1,n)=1 then a is a solution of the polynomial parity x² + ... + xó(n)-1…

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Q: 5. Compute sin a e + 3e¬z

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Q: Find a basis for the nullspace of the matrix (If there is no basis, enter NONE in any single cell)

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Q: How.L Find minima, bmakima and Saddle paints for the functionss foxy) -9x -4 xy 3- %3D f Cx,y) = 2…

A: (3) the given function is fx,y=9x3+y33-4xy Now we have to find ∂f∂x,∂f∂y,∂2f∂x2,∂2f∂y2 and ∂2f∂x∂y

Q: ind the coordinate vector [x]g of x relative to the basis 1 B = X = -2

A: Coordinate vector of the given vector

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Q: 6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4; y(0) =y'(0) = 0 using…

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Q: Give examples of fields containing 4, 8, 9, &27 elements.

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Q: Find the Taylor/Maclaurin series centered at c F(x) = sincos(3x), C =0

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Q: Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the…

A: Let stall sells x boxes of standard kiwi and y boxes of deluxe kiwi in a day. Given that, price of…

Q: The coordinate (x,Y) of parical (maring alony the plane curve di F eny Hium (t). cre given by. 9+2X…

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Q: Use Thomas Jefferson's method to solve the following problem. Suppose a legislature in a state has…

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Q: Зх — Зу — 6z %3D —3 2х — 2у — 4z %3D 10 2х + Зу + z %3D7 -

A: The equations can be expressed as x - y - 2z + 1 = 0x - y - 2z - 5 = 02x + 3y + z - 7 = 0

Q: -y=In(5x -2x+1) 3 In n(5x² -2x+1 %3D

A: This is the problem of function.

Q: 0 0 1 Find the value of 0 4 0 -1 0 O A. 4 O B. 3 OC.8 D. -4 E. No correct answer

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Q: 3. This problem is about set addition and subspaces. Let di and d2 = span{di}, %3D 1 U = span{d2}.…

A: Sum of two subspace

Q: Use Linear Approximation to estimate Af = f(3.02) - (3) for f(x) = VlIx+ 15. (Use decimal notation.…

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Q: How.) Find the absolute maximes and minima far the funCtion (4x-x') Cosy an the Pectangular plate…

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Q: (a) [-1 2 -2 - [10] -2

A: The given matrix is  -12-21-12-21-10 multiply the first two matrices

Q: undetermint coedticients 11 ON-4y = G²-3) sin x

A: The given problem is to solve the given non homogeneous differential equation using method of…

Q: 1. Find Solution using Newton's Forward Difference formula f(x) 0.10 0.1003 0.15 0.1511 0.20 0.2027…

A: The value of table for x and y x 0.1 0.15 0.2 0.25 0.3 y 0.1003 0.1511 0.2027 0.2553 0.3073