Number

Q: 3. Write 3 Cis 300° in a + bi form.

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Q: The indicated function y, (x) is a solution of the given differential equation. Use reduction of ord...

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Q: Problem 4. If A = [aij] is an nxn matrix, then the trace of A, Tr(A), is defined as the sum of all t...

A: The solution is given as  

Q: A city had a population of 10,000 in 2000 and a population of 12,000 in 2020. If its population cont...

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Q: Prove (kindly provide reason/s) that for any real numbers m and n, (-m) + (-n) = - (m + n)

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Q: Suppose that a family has 4 children. Also, suppose that the probability of having a girl (based on ...

A: The probability of having a girl is given as 12. Assume X as a random variable where n represents th...

Q: m at x=C m at x = 0 m at x = 1 m at x=

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Q: Find the solution of y'(x) -ay(x) = 0

A: In this question, the concept of the differential equation is applied. Differential Equation A diffe...

Q: 1. What is the probability that a point chosen randomly inside the large triangle also lies inside t...

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Q: Use Vizing's Theorem to find the edge-chromatic number of the following graph H. Select the correct ...

A: The edge chromatic number is 4.

Q: If u = x? + y? + z?, where x = e2t, y = e2t (3t), z = e2t sin (3t), cos du at t= 0 is dt then

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Q: If 2 is one of the eigen vector of a matrix A = |1 ] A3x3 has three distinct eigen values then which...

A: INTRODUCTION: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear ...

Q: Let f(2) = |z+ 21? Part (a) Using Cauchy-Riemann equations, show that f(2)is not differentiable ever...

A: Cauchy - Riemann equation is used

Q: Evaluate |F. di where F = ( – 4z, F(t) = (t, sin(t), cos(t)), 0 < t < T %3D

A: Introduction: the curve C ⊂U is defined as follows for a scalar field with functionf: U Rn→ R, a lin...

Q: $7/4 -t -31/4 -T/2 /4 T/4 T/2 3/4 57/- -2 -4 -5 of Identify the function whose graph appears above a...

A: The tangent function is one of the three basic trigonometric functions. Its reciprocal is he cotange...

Q: ential equation (41 2) = %3D

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Q: f(x) = V25 %3D 3.

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Q: Find the solution of the equation 200 =e* cos y which tends to zero as x → 0o and has the value cos ...

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Q: 3.44. Find the Laplace transform of x() given by otherwise

A: Given xt=1t1≤t≤t20otherwise

Q: Consider an iterative algorithm generating a sequence {x'}t>1 in R" that converges to x* E R". We se...

A: note : As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly repo...

Q: Determine the Mc Laurin Series Expansion of the function and express the terms in power series formu...

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Q: Simplify the expression so that no negative exponents appear in the final result. Assume all variabl...

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Q: Advanced Math Question

A: A polynomial function is a real-valued algebraic function. The degree of a polynomial is always a no...

Q: 3.43. Find the Laplace transform of the following x(1): (a) x(1) - sin o, tu(1) (b) x(1) = cos(a,t +...

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three ...

Q: b) Discuss the continuity conditions of the function- f(x) which shown in figure at x= 0,x = 1,x= 2 ...

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Q: . The principle of work and energy. A particle of mass m moves along a curve under the action of a f...

A: This is a problem of Kinetics, Application of differentiation.

Q: Let f (2) = |2+ 4|? Part (a) Using Cauchy-Riemann equations, show that f (2)is not differentiable ev...

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Q: Zoo authorities want to create several large enclosures so the animals can roam freely. Certain anim...

A: Zoo authorities want to create several large enclosures so the animal can roam freely. Certain anima...

Q: t2 + y? = ty dt

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Q: solutions of the above eqation is given by y1(x) = sinh(2x).  The solution of th

A: Introduction: For differential equation y'+p(x)y=q(x), the solution to this differential equation is...

Q: )= x' tan" -1 y X X

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Q: (c) Let I = (f(x)) be the principal ideal generated by f(x) in Z2[r]. Calculate the multi- plicative...

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Q: Find the (x, y, z) cartesian coordinates of the point with the following spherical polar coordinate ...

A: Conversion of polar to Cartesian coordinates

Q: Answer the following questions. Show your solution. 1) The first term of an arithmetic sequence is ...

A: According to our guidelines we can answer only three sub-parts and rest can be reposted. 

Q: sider the system y + 5z = 2. The ue solution, are 11 4

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Q: Which set of edges below is the minimum spanning tree of graph H? 2 3 2 d H {d, e), {c, d), (a, b), ...

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Q: For each of the following functions, find (∂z)/(∂x) and (∂z)/(∂y) (b) If z = ln\sqrt(x^(2)+y^(2)), ...

A: Given the function z=lnx2+y2 Here, we have to find ∂z∂x, ∂z∂y and show that x∂z∂x+y∂z∂y=1

Q: 2) 7 feet 10 feet 8 feet

A: Volume of the triangular peramid

Q: The density of pure iron is 7.874 g/cm³.Apiece of steel made of pure iron and other types of iron is...

A: The volume of a rectangular pyramid is given by the following formula.

Q: 5x+16y+10z = 45 3x+2y+7z=17 5x+ y+3z= 9 Find the third iteration value of z using the Gauss- Seidel ...

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Q: The Bainters want to compare the costs of renting a home to the costs of owning a home before consid...

A: Solution :-

Q: X* +6 1 f(3) < 22

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Q: Determine the truth value of each statement. There exists an integer x such that 2x − 5 = 12.

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Q: ( 3x²y + e' )dx + ( x³ + xe' - 2y)dy=0

A: We will first check whether given equation is exact or not ,then we find general solution accordingl...

Q: 5х +16у+10z%3D45 3х -2у +7z 3D17 5x+ y+3z=9 Find the fourth iteration value of y using the Gauss- Se...

A: The coefficient matrix for the given system of equations is 516103-27513 and we  can see that it is ...

Q: Use Vizing's Theorem to find the edge-chromatic number of the following graph H. Select the correct ...

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Q: iven two-pa ter the solution. If an answer does not exist, enter DNE.) y = c, ex cos x + c,ex sin x;...

A: we have given the differential equation  y"-2y'+2y=0 and its solution y=c1excosx+c2exsinx we have to...

Q: For each of the following functions, find (∂z)/(∂x) and (∂z)/(∂y) (d) If z = (ax+by)^(2)+e^(ax+by)+...

A: Given: z=ax+by2+eax+by+sinax+by To find: ∂z∂x and ∂z∂y To show: b∂z∂x=a∂z∂y

Q: please send handwritten solution for part a

A: We use rank rules.

Q: Problem 8. Determine all 2x2 matrices A with the property that AB = BA, for every 2x2 ma- trix B.

A: We have to find type of matrix A which will satisfy AB=BA