* What is inverse Laplace for 1 (s + 1)² + 1 y (s) =

Q: Express the permutation (2 4 5)(1 3 5 5)(1 25) as a single cycle or as a product of cycles.

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

Q: a) y₂ = Asin(t) + Bcos(t) c) y₂ = Asin(2t) + Bcos(2t) b) yp= Atsin(t) + Btc Ур d)y= Atsin(2t) + Be 1…

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Q: Q1: Choose the correct Answer: 1- The linear system A) uniqe solusion E) Three solution 02:…

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Q: : Let f [a, b] → R be a continuous, positive-valued function. Which of the following is a property…

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Q: Q8) Assume that the roots of a characteristic polynomial of a homogeneous ODE with constant…

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Q: ROBLEM NO. 12 1 the principal value of ln [(1-j)6/3] -) 2.08+4.71j B)-2.08-4.71j C) -2.08+4.71j D)…

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Q: 2. Calculate the centroid of the thin plate R which bounded by r= 1, y = 0 and, z² + y² = 4. CCC

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Q: QUESTION 2 Use the Gauss- Seidel method to solve the following system to a tolerance of ε = 0.001.…

A: Gauss- seidel method is an iteration method used to solve a system of linear equations. A set of n…

Q: Given z = (2x-y), find 0³ z (a) Əyəxəy 0³ z (b) ex²dy 24 = (c) ôxay

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Q: A 15-foot ladder is leaning against a mango tree. If the top of the ladder is sliding down the tree…

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Q: The slope of the tangent line to a curve at any point is (5x² - y) ex+y If the curve passes thru…

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Q: GIVEN: A:b-1-2 84 3 -6 -4 USING LU FACTORIZATION (ROW OPERATION), DETERMINE THE NON-TRIVIAL…

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Q: 1. y(4) + y = 0, where y(0) = y'(0) = y"(0) = 0, y'" (0) = 1 11(0)

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Q: Check for sufficiency conditions for the corresponding local optima.

A: find the local optimal value

Q: Q1 The equation y = 2x describes a line in the plane. Which of the following mathematical…

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Q: 10. If M is the midpoint of the line AB where A has coordinates (- 6,5) and B has coordinates (4,3).…

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Q: A solid steel shaft at room temperature of 27°C is needed to be contracted so that it can be shrunk…

A: Given  dθdt=-5.33×10-6θ+33-3.69×10-6θ4+2.33×10-5θ3+1.35×10-3θ2+5.42×10-2θ+5.588 ……………(1) Initial…

Q: Casey is going to wear a gray sportcoat and is trying to decide what tie he should wear to work. In…

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Q: For the rectangular coordinates (0,2), (a) plot the point, and (b) give two pairs of polar…

A: To find the polar coordinates we shall use the following transformation                      x=r cos…

Q: Math114 Logic and Set Theory Worksheet #10 2.6.3 Exercises Write the negation of the following…

A: To find- Write the negation of the following statements: 3. I'll be surprised, if that is an…

Q: Use Stokes' theorem to evaluate f curlF · ds. F(x, y, z) = y²zi+xzj + x²y²k S is the part of the…

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Q: Q6 Find Laplace transforms of the following functions: if 0<t<2 (a) f(t)= cos 3t 4 if 2 <t You may…

A: cos(3t)= cos(3t-6+6) Hence, cos(3t)=cos( 3(t-2)+6)

Q: function Q1: For, 0 < |z| < 1, evaluate the following integral where g is analytics g(5) Sc a) fc…

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Q: Answer the following points i. Find the first three nonzero terms of Maclaurin series for the…

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Q: Given the region R on the right, a. Using vertical strip, SET UP the double integral that will solve…

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Q: 4. A parabolic plate, shown below, is submerged in water. 2 m k 3 m - If the top of the plate is 1m…

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Q: Q1) One of the following is correct for functions the f(x)=1.g(x)=x³ and h(x) = a) f(x), g(x) and…

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Q: Q4// The following PDE describes a specific fluid-flow problem in a porous medium. After examining…

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Q: H.W: Solve B.C Ans. سے لے 2 dx² y = X dx X² ylı)=1 = y(2)=2 Use h=0₁/ y (1.5) = 1.481159 + Sin(Lnx)…

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Q: [ to y²-Xy flo dy 2

A: 1st we will use substitution and then integration by parts   ∫u.v dx=u∫v dx -∫dudx∫v dxdx

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for 5≤x≤5 f(x) = 2x…

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Q: (s+2)2+16 25² +18 (S-2)2+16 2s2+18 Q18) Combine the following power series expressions into a single…

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Q: 6. x(x² - y²-x)dx + y(x² - y²)dy = 0 x=2 y= 0

A: It should be -y instead of +y.

Q: 14. By use of calculator and sketch graphs, find all possible solutions of the trigonometric…

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Q: 3. For each of these conditional statements, write the converse, inverse, and contrapos- itive in…

A: Introduction: A conditional statement connects two simple statements by the logical connectivity…

Q: A mini zoo is engaged in animal breeding where the animals require three different nutrients…

A: Given: X: no of units of product alpha Y: no of units of product beta X&gt;=0,Y&gt;=0 Minimize…

Q: Advanced Math 4. Show that if S is simply connected. 0 x 1 3= {x+ix: 985 ! U{iy: -1≤y <∞0}, y = sin…

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Q: Find the values of a and b for the curve x2y +ay? -b if the point (2, 2) is on its graph and the…

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Q: Please solve the differential equation below. d²y(t) dt² +D dy (t) dt - + E y(t) = F dx (t) dt + G…

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Q: Point A is the point (6, -6) and B is the point (-6, -4). Find the length of AB to 1 dp

A: Using the formula the distance between two points(length of AB) for  A(x1,y1) and B(x2,y2)  L…

Q: for the next ed find the general solution (y=yh+yp) X^2y''-6xy'+12=lnx^2

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Q: y"-2xy=0 solve it by power series

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Q: 1. Following what we did in equations (2.14) to (2.17), show that the direct product of a vector and…

A: According to given question, we have to prove direct product of a vector and a 3rd rank tensor is a…

Q: c) s² L(y(x)) -sy(0)-y'(0) Q12) The kernel of the Laplace transform of f(t),t> 0, is: d) s²…

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Q: As shown in the required readings or videos The Fibonacci Numbers are a sequence {F} = Fn-1 + Fn-2.…

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Q: Let A= (11). It can be shown that etA - et Use this fact to write the solution to the initial value…

A: Given that A=1101 and y(0)=01.

Q: Q7 A country has 100 billion dollars of currency in circulation, in paper bill form. Money passes…

A: To solve the linear differential equation.

Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x) =…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x) =…

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Q: 1. Show that the set {5, 15, 25, 35] is a group under modulo 40. What is the identity element of…

A: As per the policy, we are allowed to answer only one question at a time. So, I am answering the…