9+10

Q: Solve the following initial value problem and present its particular solution: 2. y" + y' – 2y = 0, ...

A: As per our company guidelines, we can solve first question for you. If you want other question to be...

Q: Fill in the blank with the appropriate word. Since the sum of 0 and any integer is the given integer...

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Q: 1. Find the sup and inf of the following sets. {1/n :n e N} • {2 – 1/n :n € N}. • {e";r € Q}.

A: Supremum: Greatest member of a set, if it exist, is the supremum of the set. Infimum: Smallest membe...

Q: After a long day at work, you come home to find that someone has come in and stolen several items in...

A: Given, height of door is 7 ft Let the height of thief is x feet. Since, the man standing 1.2 feet fr...

Q: Find the Laplace transform, 0 0st<5 g (t) = { (t-5)² t25 O e^-5s/s^3 O (2e^-5s)/s^3 O (2e^-5s)/s^2 O...

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Q: syidr + [2yłn () + 3siny]dy: 6. x²+3x 3y?dx 5x ;when x = 1, y = 0 x+3,

A: We have to find the general solution of the given differential equation.

Q: Solve for the inverse Laplace transform of O 4cos at - 3 sin at 4 sin at – 3 cos at 3cos at - 4 sin ...

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1ss2+a2=cosatL-1as2+a2=sin(at)

Q: Express (-5 – 2i) in polar form. 29/158.2 O 29/201.8° O v21Z21.8° O v21Z68.2°

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Q: Consider the sequence {fn(x)}, where sin(nx) fn(x) = 1+ nx Use the uniform norm to show that the seq...

A: Given: fn(x)=sinnx1+nx To show: fn(x) is uniformly converge on [1, ∞).

Q: If u = 3x - x + 3xy? is a real part of an analytic function f(z) = u + iv, where z x+ iy is a comple...

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Q: Fill in the blank with the appropriate word. Since the sum of 0 and any integer is the given integer...

A: Since the sum of 0 and any integer is the given integer, we say that 0 is the additive ___  element ...

Q: Define T:P, → R3 by T(p(t)) = (p(1), p(0), p(0)), where P, is the set of polynomials of degree at mo...

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Q: Solve the following  complex numbers in their rectangular form. Use 4 decimal places  for the comput...

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Q: Consider the following preference schedule: Number of Votes 47 42 32 54 1st Choice Aurora Be...

A: To determine the winner of the election using the IRV method.

Q: Use the improved Euler's method to obtain a four-decimal approximation of the indicated value. First...

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Q: What is Graph Theory? Can you give me an example og Graph Theory?(with solutions and answers)

A: Graph theory definition :  In mathematics, Graph theory is a subfield which deals with graphs.  Grap...

Q: Estimate the ln (1,1) and sec (0,1) using a linear approximation and without using any kind of compu...

A: Explanation we have to estimate ln(1.1) and sec(0.1) using a linear approximation method  linear app...

Q: e through C x sin-

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Q: (3) Suppose n= |T(x)| and d=|x| are both finite. Then, using fact 3 about powers in finite cyclic gr...

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Q: Consider the lines of equation x = -5 and y = -9. Let (a, b) be the intersection point of the lines....

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Q: alculate the following 48÷(-8)+(50-5)

A: While performing arithmetic operations, we follow BODMAS rule. According to this rule, an expression...

Q: Determine the following: 1. What are the prime factors of the following? • Factors of 12 • Factors o...

A: Solution

Q: З^1 — 2л2 + 5аз — —17 2x1 + 4x2 – 3x3 = 29 5х1 — 6х2 — 7*3 — 7

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Q: Find a basis for the subspace of R^4 that is spanned by the vectors v1 = (1, 1, 1, 1), v2 = (2,2, 2,...

A: To find- Find a basis for the subspace of ℝ4 that is spanned by the vectors v1 = 1, 1, 1, 1, v2 = 2,...

Q: Find the unit vector directed from V(2, - 5,– 2) toward M(14, – 15, 3). Answer.

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Q: dy y(log

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Q: Find L (3 + e")*] 1 s-6 s-12 9. 1 s-6 s-12 1 s+6 s-12 o 9 6. 1 s-6 s-12 6/9

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Q: matrix of cofactors C. (b) The adjoi

A: Introduction: The inverse of a matrix is calculated by determining its determinant and adjoint. The ...

Q: Find 2(A)+3B-2C :). 1 4 -2 1 A = B = 2 -4 -2 1 C = %3D %3D %3D 1 -1 1 2 1

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Q: Find the inverse of the following matrices: 1) 2 3 -2 A = 1 4 1 2 1 3.

A: Given matrix is A = 23-214121-3

Q: Suppose that Vf(x, y, z) = 2xyze*²i+ ze**j+ ye**k. If f(0,0, 0) = 5, find f(1, 1, 8). Hint: As a fir...

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Q: Note: Please type your answer. The head committee of s.t.a.t finance group is composed of 10 people...

A: If n things are to be arranged around a circle then the number of possible arrangements is given by;...

Q: p   and 0 < p < 40

A: Given, The price p (in dollars) and the quantity q sold of a certain product obey the demand equatio...

Q: 5. Suppose M = (S, I, f, So, F) is a finite-state automaton, where S = {So, S1, S2, S3}, |= {0, 1}, ...

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Q: et u (x, y) E R² any vector, prove that l|u||

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Q: In a room of 470 people, 40% of them were born in November.  How many people in the room have a Nove...

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Q: 8. Let A be the 10 x n matrix formed by the first n columns of the 10 x 10 Hilbert matrix. Let c be ...

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Q: dy y(log y – log x+1) dx The solution of x is

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Q: e3t -1-3t { 9 O 3/(s^2(s-3)) O 1/(s^2(s+3)) O -3/(s^2(s+3)) 1/(s^2(s-3))

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Q: There are 5 water birds swimming in a pond. If there are 3 ducks and 2 geese at the pond, what fract...

A: To find the fraction of ducks, take number of ducks over the total number of birds fraction the tota...

Q: Is the set of positive integers a group under the operation of addition? (.... Is the set of positiv...

A: A group is the set with binary operation which satisfies the following property a) It is closed unde...

Q: Determine whether the following arguments are valid. Use Euler's Diagram or truth table, whichever i...

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Q: (3) Determine whether or not each of the following graphs is planar. If planar, show a planar embedd...

A: As per our company guidelines, we can solve one question at a time. If you want other question to be...

Q: Numerical analysis and numerical methods are also applicable in field of finance and marketing. Reve...

A: At break even point total cost = total revenue   

Q: Solve for the solution of differential equation using Laplace Transform. y – 5y +6y = 0; y (0) = y (...

A:  Correct ans is option = D Please find attachment for the details solution

Q: Use Cramer's rule to compute the solution of the system. 4x, + 3x2 + 4x3 = 8 4x1 X3 = 2 + - 2x1 + 3x...

A: As given by the question There are given that the system of equation: 4x1+3x2+4x3=84x1+0+x3=2-2x1+3x...

Q: Is the set of integers a commutative group under the operation of addition? Yes; it satisfies the fi...

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Q: The solution of the differential equation (x³ + 3xy?)dx+ (y³+3x²y)dy=D0 is

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Q: T(6,2, – 3) , R(- 1,4, – 2) and S(2, 5, 1). Find the angle between R, and R,

A: The vector between the points (a1,b1,c1) and (a2,b2,c2) is &lt;a2-a1,b2-b1,c2-c1&gt;. The given poin...

Q: Find the product of (-2+3i) and (-5- i) O 13 – 17i 07- 17i O 13 – 13i O7-13i

A: The given complex numbers are                                             (-2+3i) and (-5-i). To fin...