of the differential equation у" - Зу' + 2у %3е-2t

Q: Consider the system of equations Ax 3y + z = 0, x + ay + 3z = 1, | 3x +y + 5z = 2. The values of 2.,...

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Q: A town is endowed with an oil reserve. The total stock of oil from the reserve is 110 barrels. The t...

A: We will use basic knowledge of logic and optimization to answer this question.

Q: /3 sin -' X- tan 3 4 II

A: This is the problem of real-valued function, inverse trigonometric equations.

Q: te the integral I = Include 4 decimal places ox +6x+10 single application of the trapezoidal rule, m...

A: Consider the function f(x)=1x2+6x+10. The interval of integration is [0,1]. Therefore the change of ...

Q: a) Write sin(3 - i) in the form of a+ bi . b) Find all the values of (3)-in .

A: (a) sin3-i we have to write this in form of a+ib. (b)We have to find the value of  3-iπ. The formula...

Q: Theorem 1: Suppose f(m, n) is a double sequence on R such that f(m, n) > 0. Then, E f(m, n) converge...

A: We will only use the basic knowledge of real-valued series to answer this question.

Q: The error is numerically computing the integral | 1 dx using the +4 trapezoidal rule with two interv...

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Q: Permutations Use the permutations to solve the given problem. Explain your answer. Show your solutio...

A: Total no. Of options = Number of options for 1×no. Of options for 2nd and goes on

Q: 15. 16. 0.5- 2

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Q: es a

A: 1) a) 2-3i13 Here z=2-3i r=zr=9+4r=13 θ=arg(z)=-tan-1 32z13  =reiθ13z13  =reiθ3z13  =rcosθ3+isinθ31 ...

Q: Determine the center Z(S) of S.

A: This is a problem of Group Theory.

Q: M1 Matrix is: M= -1 -1 4 3 A) Find the value in the first row and first column of the product M^-1M ...

A: Introduction: If the determinant of a square matrix is non-zero, the matrix possesses an inverse. Th...

Q: 5e- 2e- |-7e-/ X = Find dX/dt of Matrix:

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Q: Consider the following all-integer linear program. Маx 1x1 + 1x2 s.t. 4x1 + 7x2 s 31 1x, + 6х, s 18 ...

A: 1st we need to find optimal solution by using corner point method ( Lp relaxation ) . if solution co...

Q: curves in Exercises 1-8 about the x-axis. erated by revolving the regions bounded by the lines and U...

A: Introduction: When a two dimensional curve is rotated around the coordinate axes of a line, a solid ...

Q: Please answer letter D and E onlyyy.

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Q: J= cm, M] Then 18.1 Lete f be anturaes on ta, bi. Than, t is laanded. Mreaver, f lais it; Imaximam a...

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Q: Let the matrix A = (see attachment)   a. Write integers p and q such that Nul(A) is a subspace of ...

A: The given question is related with linear algebra. Given that ,                  A = -1-331-15212411...

Q: 1 Given the following vectors: V1 2 • Is the set {v1, V2}linearly independent or dependent? Justify ...

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Q: Find the root of the following using the method indicated. Ea < 0.0001 1. f (1) = sin I +e - 2, xo =...

A: Above your question post, you have explicitly written that you want only parts (1) and (2) to be sol...

Q: Solve for the Laplace transform of e2t sint cost cos 2t cos 4t 1 s-4s+20 s-4s+68 -4s+20

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Q: Use Laplace Transforms to solve the following Differential Equation y" + 3y' + 2y = te y(0) = y'(0) ...

A: To find- Use Laplce Transforms to solve the following Differential Equation  y'' + 3y' + 2y = tety0 ...

Q: Solve for x: 1. x:3 = 8:12 2. 2:x = 10:25 3. 3:4 = 6:x 4. 3:5 = x:25 5. (x+2):4 = 15:20

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Q: 4. Evaluate the integral I = sin? x dx Include 4 decimal places on your computation. a. single appli...

A: Trapezoidal rule  ∫ab f(x)dx=  Δx 2​ f(x0)+2f(x1)+2f(x2)+2f(x3 )+⋯+2f(xn-1 )+f(xn) Where ∆x=b-an   S...

Q: answer d & e only

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Q: 0.0 0.2 0.4 0.6 0.8 T)-5 -4.972 4.856 --4.604 -4.168

A: Consider a function fn tabulated at equal intervals. The forward difference for the function fn is d...

Q: . Find the volume of the following figure. If needed, round to the nearest hundredth. 134,073.33 m3 ...

A: Given: l=52 m w= 91 m h=85 m volume=l×w×h3

Q: Find the solution of the equation cos y which tends to 7ero 36 Y

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Q: Consider an alphabet that has 21 consonants and 5 vowels.  In how many ways can you make any arrange...

A: This is from combinatorial.

Q: f (2) = ) f (z) = 6 if<< 0,订号<<

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Q: Learning Activity 3 Solve the following by inspection (using graph), and justify the method of solut...

A: Solution

Q: 5 1 X' = -5 -6 4 X 2

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Q: Solve using separation of variables: dx = +(1 + t^2) sec^2 x dt.

A: Given differential equation, dx = ( 1+t2 )sec2x dt

Q: -4; -7; -10; -13; 1.2.1. Write down the next two terms 1.2.2. Describe the pattern you notice 1.2.3....

A: the given sequence is  -4,-7,-10,-13,... 1. the next two terms will be -16,-19 2. Each term is obtai...

Q: Find the Taylor polynomial of degree 4 for the function f(x) = In(x), centered at a = the sums of po...

A: The derivative of the function is the measure of how fast the function is changing with respect to x...

Q: 115

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Q: Convert each equation from polar to rectangular form. 9) r= 4csc 0 10) r= 2sin (0 +") 11) r² = 5sec ...

A: We have to use relation between cartesian and polar co ordinate system  x = r cosθ  , y= r sinθ Squa...

Q: 3. Represent the following complex numbers in polar form. (a) -2/3+ 2i (b) (c)

A: Introduction: For a given complex number z=x+iy, it can be transformed into polar form. The polar fo...

Q: . Prove that Q³ itself. (the set of positive rational numbers) under multiplication is isomorphic to...

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Q: What kind of angles are 1 and 6? 9. L- M N A. corresponding B. alternate exterior C. same side exter...

A: Introduction: When a line intersects two parallel lines, it is referred to as transversal. There are...

Q: 1. Let (e1, ... , en) be a basis for a vector space V. Show that (ei + en, e2 + en, ... , en-1 + en,...

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Q: 7. Consider the surface S defined by the equation x³ +y2 – 3x – 2y – 4z = -2. Find all points P = (x...

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Q: The function f is defined by f(x) = ax +b . Given that f(-2) = 27 and f (1) = 15 find the value of x...

A: Given that f(-2) = 27   and  f(1) = 15 we have to find value of x such that f(x) = -5

Q: Find the radius of curvature of the curve r = at 0 = 1+cos 0 O 5.9665 O 5.6965 O 5.6569 5.5966

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Q: 3, Verify that p = 0 is a multiple root for e -1-r = 0, the use a second order %3D %3D convergent me...

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Q: Topic: Graphing on Intervals (-8, 8)  Instructions: 1.) Using any graphical app, construct three d...

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Q: Show complete solution using row operations. Use variable "s" to denote a free variable in case it e...

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Q: 2. Consider the problem of approximating the value of v3 as a root of f(x) = x² – 3. (a) Calculate a...

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Q: 4. If an + 0, prove that |an+1| lim inf |an+1| < lim inf Jan| < lim sup lan] <_lim sup |anl |anl n→+...

A: The given question is related with real analysis. Given that , an ≠ 0 . We have to prove that       ...

Q: 1

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