If a is a complex number such that |a| = 1, find arg(a), so that equation az²+z+ 1 = 0 has one purely imaginary root.

Q: Suppose F(x, y) = 9 sin ( - ) sin ( ² )7 – 9 cos (₹) cos( 1 )³ and C is the curve from P to Q in the…

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Q: The three vertices of a triangle are at A (7,-1,3), B (-3,3,-4) and C(-3,1, 5). Find: (use Dot…

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Q: Define the variable x_as y = g) x = 1 - 2sin²y then evaluate:

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Q: 1 a Required information NOTE: This is a multi-part question. Once an answer is submitted, you will…

A: We will solve by using close and open pastg concept.

Q: In the following system Problem, categorize the eigenvalues and eigenvectors of the coefficient…

A: given system x1'=-3x1+4x2x2'=6x1-5x2 phase plan of given system of equation this can be written as…

Q: ای )porve ereco if : er f = ²/ Set ². st

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Q: 5. Find the DE ofhyperbolas b²x² - a²y² = a²b²

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Q: If the slope of one of the pairs of lines represented by equation a³x² + 2hxy + b³y² = 0 is square…

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Q: 1) Given is a vector A. In Cartesian coordinates it is given by A = x + 2y + 32 (0.1) Now we…

A: Given: The vector in the cartesian coordinate is given by, A=x^+2y^+3z^…

Q: Find y(1) with h = 0.2. Find % &7. Use the Euler method and Improved Euler Method. Tabulate your…

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Q: Please answer and write correctly and neatly. Given the vector field Ā= 2x2y ax – 2(z-x) ay + 3xyz…

A: Given That : Vector field  A→=2x2yax-2(z-x)ay +3xyzaz Point P=(2,-3,4)  To Find : d) y coordinate of…

Q: 3) 1 Use an integrating factor to solve dy - by 25/4 = X with y(i)=-2

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Q: 5 (a) Compute the roots of the quadratic polynomial s² + 2s + 5. (b) Is the polynomial s2 + 2s +5 an…

A: Using square root method we will solve this problem

Q: 4 Let f: RR be given by f(x, y, z)= y sin(5x) + e¹² + ln z What is the gradient? Answer: Vƒ(x, y, z)…

A: In this question, the concept of the gradient is applied. Gradient A line's slope or gradient is a…

Q: The nineteen members of an Examination Board are trying to decide which of four stu- dents, A, B, C…

A: Make a table of preference as follows First  Second Third Fourth Number of votes A D C B 3 B…

Q: 2. For the given differential equation, do the following: dy y x+y dx x x-1 a) Find the P(x) or P(y)…

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Q: The decay rate of a drug describes how long it takes the drugs effects to wear off. The decay rate…

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Q: 4) IF = (6,-8) m, B = (-8,3) m, AND A = (26, 19) m, FIND THE UNKNOWN CONSTANTS AND B SUCH THAT ab +…

A: As Per Bartleby Answering Guidelines We Solve  Only First One Problem Solution - 4  :  Given that…

Q: Prove: If AC [0, 1] and m* (A) > 0, then there exist x and y in Problem 1 A such that x - y) is an…

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Q: z₁ and z₂ are the roots of 3z² + 3z + b = 0. If O(0), (z₁), (2₂ form an equilateral triangle, then…

A: Given that z1 and z2  are the roots of 3z2+3z+b=0. If O(0), (z1), (z2) form an equilateral triangle.…

Q: Exercise 8. Prove the following properties of neighborhoods: Proposition. If x is a point of the…

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Q: Find a vector parametric equation F(t) for the line through the points P = (1,0,-5) and Q=(2,3,-7)…

A: The vector parametric equation of the line that passes through the points: A=x1, y1, z1, B=x2, y2,…

Q: 2. Find the value of each variable a, b, c, d, e, and f using Cramer's rule. 2a-b+3c + 4d + 9e +8f a…

A: Consider the system of equations: a1x+b1y+c1z=d1a2x+b2y+c2z=d2a3x+b3y+c3z=d3   Using Cramer's rule,…

Q: Exercise 5. 1) Show that the metrics dp, p ≥ 1 and dmax on Rª are all Lipschitz equivalent. 2) If X…

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Q: z₁ and 2₂ are the roots of 3z² + 3z + b = 0. If O(0), (z₁), (2₂, form an equilateral triangle, then…

A: Given that z1 and z2 are the roots of 3z2+3z+b=0. If O(0), z1, z2 form an equilateral triangle.

Q: Ex #4 Solve 9-4x<3x+2<-1, where xe R

A: We have to solve 9-4x&lt;3x+2&lt;-1 , where x∈ℝ

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: Slope is derivative of y with respect to x. And equation of tangent is (y-y1) =m(x-x1).

Q: Prove as follows the inequality |Ax| =||A|| - |x|, where A is an m x m matrix with row vectors a1,…

A: Given: The order of the matrix A is m×m. The row vectors are a1,a2,a3,.....am and the dimensional…

Q: x²³dx + ydy fr อ

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Q: Define/Explain what a Fact and a Truth is in terms of mathematics.

A: Lets briefly define what is the difference between fact and truth.

Q: 1. Translate the following Boolean expressions into logic circuits. a. Y= (ABC)'.D'

A: The given Boolean expression is Y=ABC'D'. There is AND gate in expression ABC. Therefore taking the…

Q: 5. Check whether following is homogenous differential equation, (x-2y)dx+xdy=0 and also solve it.

A: Given: The differential equation is (x-2y)dx+xdy=0. To check: The given equation is a homogenous…

Q: A derivative in Leibniz notation is written as a fraction of differentials. A True B) False

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

Q: pol DA 4. x dy + y dx = 0 (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

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Q: 5. lim(√n²+ n − n). -

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Q: 1. Using Bisection Method, solve the root of the equation below that is nearest to zero. sin(x) + ex…

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Q: In 2000, mobile handset sales totaled $414.99 million. In 2005, the total was $778.75 million. Let M…

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Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: x dy + y dx = 0 5. (3x²y² + 2y³ - 4y) dx + (2x³y + 6xy² - 4x) dy = 0

A: Given  xdy+ydx=0 compare to Mdx+Ndy=0 Here              M=xMy=0and N=yNx=0Clearly,My=0=Nx Given…

Q: Suppose that annual salaries in a certain corporation are as follows: Level 1 (29 employees) Level…

A: Given Level one employee annual salary=$19,000 Level two employee annual salary=$33,000 Level three…

Q: 2. Use the tables to find the inverse z transforms of the following a. Z z+4

A: Introduction: Finding the time domain signal x(n) from its Z-transform X is known as the inverse…

Q: 1) If w= Inz, then the family of straight lines u = constant in the z- plane is mapped into 21 the…

A: Note: Since you have asked a question, we will solve the first question for you. If you want any…

Q: 7Q2/ Cheese the correct answer. @If the bisection method is used to solve the equestion 3x²= = * in…

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Q: If f(x) = sin x, then lim (2)-f(r) a x->2T x-2A (A) - 2T (B) -1 (C) 1 (D) 2π =

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Q: You want to send postcards to 12 friends. In the shop there are only 3 kinds of postcards. In how…

A: (a) Here we have given that you want to send postcards to 12 friends and in the shop there are only…

Q: (a) find the following limits if exist:- limx→0 √x+9-3 X

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Q: Create a radical equation with variables on both sides. Then solve the equation.  Write some…

A: Solving Radical Equations A radical equation is an equation in which a variable is under a…

Q: In given problem, the eigenvalues of the coefficientc matrix can be found by inspection and…

A: given :    x1'=5x1+x2+3x3x2'=x1+7x2+x3x3'=3x1+x2+5x3 To Find :  Find general solution by eigen…

Q: Prove that: B (x+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) =ХГ (X)

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Q: 2. Find the value of each variable a, b, c, d, e, and f using Cramer's rule. 2ab + 3c + 4d +9e + 8f…

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