Write down monic polynomials in R[X] of least possible degree which have the following complex numbers as roots:  −2 and 5 + 3i;  1 + i and 3i;  5 and −√7.

Q: Find the orthogonal projection of the vector [ 49 49 49] onto the subspaces of R3 spanned by [2 3…

A: We have to find the orthogonal projection of the vector  onto the subspace of  spanned by  and .

Q: 0. Find Angle N to the nearest degree. M n = 25 p = 20 P m = 12 N

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Q: Show your work. Find all isolated singular points of the complex valued function 23 + z f(z) = (422)…

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Q: Let f(x) = ln(2x+1), x = (2,4). 1. The Taylor polynomial T₂ (2) at the point a = 3 is…

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Q: Consider the following matrix -2 0-3 0 3 3 30 0 (a) Find its determinant. (b) Does the matrix have…

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Q: Let x and y be two vectors containing the x-coordinates and y-coordinates of your data: xX…

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Q: AF'G'H' is a translation of AFGH. Write the translation rule. 104 -8- G H -6- 4 2 -10 -8 -6 -4 -2 0…

A: The objective is to find the translation rule.

Q: 3z2-z+1 Find the Taylor series of f(z) = with center zo = 7. z2-9z+18

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Q: You are beginning to draw a phase portrait for a system of two equations. You know th x(0) = 1 and…

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Q: How many positive integers n less than or equal to 731 satisfy d(n) = 3?

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Q: Find dy dx y=5 Inx+9 log 5x dy dx (Type an exact answer.)

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Q: (3) Solve the following differential equations (b) dy dx + 3y 1 1+e6x

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Exercise 4.- Take the functions from the previous exercise,…

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Q: Explain for each of the three locations what decisions would be made using a Clark-Groves mechanism,…

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Q: Use Table 12-2 to calculate the present value (in $) of the annuity due. (Round your answer to the…

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Q: Match each solution (in red) with its initial value problem. B▾ B 1. x' x = x, x(0) = = [6] C 2 x…

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Q: Given the equation f(x) = (e^{-x} = x^3), where x elemnent of R Prove that the equation f(x) has a…

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Q: Find the general solution of the system of equation x=(4-2)x

A: General solution is given by: Xc​=C1​[1−4​]e−3t+C2​[11​]e2tExplanation:Step 1: Given system:…

Q: Sketch the region onto which the sector 1/2 <= r <= 2, pi/8 <= theta <= 3*pi/8 is mapped…

A: To sketch the region onto which the sector 1/2 ≤ r ≤ 2, π/8 ​≤θ ≤ 3π/8​ is mapped by the…

Q: Find f by solving the initial-value problem. f(x) = 9 f'(x) = ㄨˊ f(9) = 58

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Q: Let and T : R4 R4 be given by 33 = 10 12 310 220 [5/2 3/2 -1 0 0 1/2 0 0 T(x) = X. 0 0 5/4 1/4 0 0…

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Q: Determine if the scalar vector field is Lipschitz continuous on the indicated domain f(x) = ex n = R

A: f(x)=ex is not lipschitz continuous in  Ω=RExplanation:Suppose f(x)=ex is Lipschitz on R.  Then,…

Q: Answer and question in images

A: Elements both sets A and B are ={1,4}Explanation:

Q: Suppose that R₁ is a ring with addition +1 and multiplication 1, and that R2 is a ring with addition…

A: Answer in steps:We need to show that (R₁ × R₂, +, ·) satisfies all the axioms for a ring.i.Closure…

Q: Factor and solve the quadeatic equation: x²-5x-6=0 OX=6 and -1 OX=-2 and -3 OX= 2 and 3 OX=-6 amd -1

A: The objective of this question is to factor and solve the given quadratic equation x² - 5x - 6 = 0.

Q: Need help with these two Intro to Elementary Number Theory Homework problems.

A: The simplified expressions for the herbal logarithm operations are as follows: 1. For ln(d^287 +…

Q: A particle moves along line segments from the origin to the points (3, 0, 0), (3, 3, 1), (0, 3, 1),…

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Q: = Denote by Zm = {[0]m [1]m, [m - 1]m} the ring of integers modulo m. Consider the rings R Z24 and…

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Q: Which subspaces are the same for these matrices of different sizes? (a) [A] and [A] (b) [A] A A and…

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Q: 1 2 -5 A = 0 1 4 1 -3 -7 11 11 Find a pair of vectors u, v in R4 that span the set of all ER that…

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Q: You have $94,000 you would like to invest in three different stocks: MarkyB Inc., JohnJohn Ltd., and…

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Q: 1. Compute the iterated integral 1 L L L 0 12y²z³ sin(x)dxdydz

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Q: find an explicit solution and check) - Зу I = *y1/3

A: We have to solve the differential equation explicitly and check the solution :  -  = x4 y 1/3 .

Q: The heights of NBA players are normally distributed, with an average height of 6'7" (i.e. 79…

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Q: Solve the following non-homogeneous differential equation that represents a vibrating system where…

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Q: Please solve and show all steps and work.

A: The inverse of A−1 is ⎣⎢⎡​−72​−21​289​​−73​−21​−283​​−71​−21​281​​⎦⎥⎤​.Explanation:Steps and…

Q: This question is designed to test your ability to formulate the correct try in the method of…

A: Note: As multiple questions have been posted, so only first question has been solved according to…

Q: {0}] ER3 such that x+y+z = 0 •} 2. (Your instructor forgot to do this example in class). Let W = (a)…

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Q: Can you sketch a graph of the function h(m)

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Q: Plz explain  well how you sketch.

A: The objective of this question is to sketch the function f(x) = 0.1(x + 1)² (x-2)³. This involves…

Q: Exercise 4.- Calculate the mean value of the function f(x) = 1 + x² in the interval [-2,2] and…

A: Mean Value Theorem for Integrals: If f(x) is continuous on the closed interval [a,b] and…

Q: 4.5. Use thin horizontal shells to find the volume of the solid of revolution obtained when the…

A: Using shell method we have to find the volume of the  solid formed by rotating the region  and…