1 1 1 Give your Given that u = 1 2i and v= -2+ i, find z such that = Z U V of a + bi. Hence, find the modulus and argument of z, such that answer in the form -π ≤ Arg(z) < π.

Q: dy at the point (1,2). dx If x + xy + y =7, find the value of

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Q: Setup the iterated double integral that gives the volume of the following solid. Correctly identify…

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Q: In a certain city district the need for money to buy drugs is stated as the: reason for 75% of all…

A: Solution: Let X be the number of thefts resulted from the need for money to buy drugs and n be the…

Q: 1. About 100 000 students all over Region I took the National Achievement Test for Mathematics. If…

A: A continuous random variable x follows the normal distribution with mean μ and standard deviation σ.…

Q: (For Bacteriologists). In one of your Basic Calculus sessions, a top of the class Grade- 12 student…

A: Hair we have to find out the value of Y for the different values of T

Q: 3. The following data about the number of boyfriends/girlfriends of 40 students have had were…

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Q: 2. Eigenvalue Problem with first derivative in linear operator. Find the eigenvalues and…

A: Consider the given equation and put y” = m2  and y’ = m  m2 +4m +λ=0 m = -2±4-λ here three condition…

Q: Determine whether y 3 sin 2x + e-a is a solution to the differential equation y" + 4y = 5e

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Q: Let f : R" → R be defined by f(x1,x2,..., xn) = x1x2··..xn on the cube ...x [0, 1] (i.e. for 0 < x1…

A: Evaluate ∫01∫01⋯∫01fx1, x2, ..., xndx1dx2⋯dxn ∫01∫01⋯∫01fx1, x2, ...,…

Q: 6- Use Newton-Raphson method to solve the system x3 +y – 1 = 0 y3 – x + 1 = 0 with the starting…

A: f1=x3+y-1=0→(1)f2=y3-x+1=0→(2)(x0, y0)=(1, 0) Formula for Newton-Raphson…

Q: nd the Fourier Sine Transform of the function f(x) = = ||

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Q: y = Ax2 + Be-* Find the differential equation by eliminating the arbitrary constants. *

A: Given equation is  y= Ax2+Be-x  We have to find a differential equation by eliminating arbitrary…

Q: Suppose that C is the curve of interesection between the plane z = x and the cylinder x² + y? be the…

A: Consider the given function. z=x and x2+y2=1 As, the function S be the interior of this ellipse…

Q: Show that b с d - b a - d - с - b PD с d b - d с 4(a² + b² (c² + d²)

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Q: Integration by U- Substitution S²2x². √ ول 2x²= √ 1 + 16x² dz

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Q: 6: -9 5 -18 Find S and D such that A = SDS-¹. Let A = S = 12 -5 21 -11 6 -21 100 D= = 00 1 0 3 تن 0…

A: This equation is a form of diagonalization.In order to find S and D following steps are to be…

Q: Find the singular values σι > σε of 01 = 02 Find unit vectors ₁ and 2 such that || Av₁|| = 0₁ and ||…

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Q: Find Fourier Sine and Cosine transform of the function f(x) = e -x

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Q: Let = = -0-0 and let W the subspace of R4 spanned by u and v. Find a basis of W, the orthogonal…

A: Define the problem Given that Let W be the subspace of R4 spanned by  and

Q: - 03. Evaluate the following integral: (1 – x - 4x + 2x)dx -2

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Q: 3. The ages of participants in a drama workshop are normally distributed with mean 18.5 years and…

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Q: 3. Let A = (4,5,6) and B (5,6,7}, (x, y) ER means that is an integer, write the %3D ordered pair of…

A: A={4,5,6} and B={5,6,7}, (x,y)∈R means that x+y2 is an integer

Q: Find the projection of 7 = proje (v) = A 7 onto the line of R³ given by the parametric equation l =…

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Q: In a potato race, 8 potatoes are placed 6 feet apart on a straight line, the first being 6 ft from…

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Q: (1 – x², \x| 1 Find the Fourier transform of the function f (x) :

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Q: B. Given population 15, 12, 6, 9, and 17. Suppose samples of size 3 are drawn from this population.…

A: Given : The population size = 5 These are : 15 , 12 , 6 , 9 , 17  Sample size = 3