Ex.8 The Laplace transform of the function z(t) = - (A) 5s + e-8 8² if s > 0. 5 t if 0 < t < 1 if t≥ 1 is:

Q: Question 14 Determine the value of 60 for which lim (3-1)-47 X-4 Ⓒ 6-max(-4-√/16-.-4+ √/16+)…

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Q: A² = x²y 2 + 2y = y + 3 z ³² x ² 2 5 근 SD • A dv = ? (Do > y 2 - 2 d 1 divergence)

A: As per our guidelines we are allowed to do 1 question at a time. Please post other questions next…

Q: 2. An emergency committee consisting of 12 health's officer staffs is chosen from 10 doctors and 12…

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Q: Determine wo, R, and 8 so as to write the given expression in the form u R cos(wot - 8). = u= -5…

A: We simply convert the given equation in its general format.

Q: Find a vector function that represents the curve of intersection between the paraboloid 4x² + y² and…

A: We find vector function.

Q: 1. Find the Fourier series of the function f(x) = |x| which is defined over the range - T<x< πT.

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Q: 47. The tower and the cliff has a total height of (85 +110) or 195 feet. If the angle of depression…

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Q: 1. A mass spring system has a mass of 1kg, a damping constant of 7 Ns/m and a spring constant of 10…

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Q: The general solution of the system of coupled equations2r+ay, be + cy can be written as [6] [³₁] +…

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Q: Prove that there are 1000 consecutive positive integers that are not perfect squares.

A: Here I give an example. That proves the hypothesis.

Q: 1. If Y= 4 In (In (In(sec(x)) then Ý -[4 (tan)/{ In ((In (sec)) In (sex)}] O True O False

A: We have to derive the given function.

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Q: 2. Find the solution of the given initial value problem. y’’+2y’+2y=0,     y(π/4)=2, y’(π/4)=-2…

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Q: The system of equations []=[ -1 -2 -5 ³3] [#] is is to be solved using the forward Euler method with…

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Q: II. a. At 2:00 pm, a thermometer reading 75°F is taken outdoors where the temperature is -15°F. At…

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Q: (a) Determine the Laurent series for the ƒ(z) function about the origin. (You need to get one series…

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Q: 5). Let 21, 22 be fixed elements of a Banach space X, and l₁, l2 € X'. Define A : X → X by Ax =…

A: From above details we have.

Q: Suppose you are at a party with 19 of your closest friends (so including you, there are 20 people…

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Q: Exercise (7) 1.Find the roots of the equation f(x) = x³ - x - 1 using x₁ = 1 For 4 iteration by…

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Q: Compare and contrast average rates of change and instantaneous rates of change. When would you use…

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Q: In a course on introductory real analysis, Riemann integral is commonly defined through upper sums…

A: Our task is to discuss about he concept of supremum and infimum for real numbers.

Q: OC would never be chosen over A. Whether the student would choose A or B depends on her preferences.…

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Q: Solve the given initial-value problem. 1 0 2 2 X' = X, X(0) 1 6 1 2 ×019 = 2(1,1)e(5) +5(0,1)e¯(5)…

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Q: Use the simplex method to solve the linear programming problem. Maximize: z = 2x₁ + x₂ subject to:…

A: The given linear programming problem is                            Maximize   z=2x1+x2Subject to…

Q: Solve the equation using Jacobi's method until 5 iterations. (Non-anonymous question) 5x₁ - x₂ + 2x3…

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Q: Evaluate the iterated integral 1 y² [¹ [³* (4x + 10y) dady. Y O 11 10 O 11 10 O-1 0 1 O All of the…

A: Answer:- 1&gt; D 2&gt; A   Explanation??

Q: (a) The reaction to form an iodine molecule is a second-order kinetics rate of loss of iodine atoms…

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Q: (yezy cos 2x - 2e sin 2x + 2x) + (rezy cos 2x − 3)y' = 0

A: given differential equation can be written as  (yexycos2x-2exysin2x+2x)dx+(xexycos2x-3)dy=0 ∵dydx=y'…

Q: If A=(4,3,0), B=(2,3,4) and C= (5,6,2) find the dot product and find the angle between the vectors.

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Q: f(x,y) = (x + y ³) - Sin (x4) (0,0) { 1/₁2 X- 1 (x₁4) = (0,0) is given which of the following…

A: The given problem is to check the existence of the partial derivatives of the given function at…

Q: 21 Solve in terms of Besselis Function, 2 11 the ODE: x² + xy + (x³²+ =)=0 let Z=Lnx

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Q: 5. lim,- A.7 A D B 7x²+x-100 2x²-5x B 7|N C. / D.2

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Q: 1+ cos 3. For the identity 1 + sec 0 = cos e a) Verify the identity for = 210° using exact values.…

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Q: Let a = : 3432, and b = 332. Find x, y € Z such that xa+yb = gcd(a, b). To get full marks you must…

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Q: Solve the linear programming problem. Maximize P = 20x + 75y Subject to x+8y ≤ 16 x, y ≥ 0 What is…

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Q: Find the equation of the graph and estimate the instantaneous rate of change at x = 1

A: From graph we can conclude that the equation of this graph be a parabola i.e., a quadratic equation.…

Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: The given integral is ∫0π sin t dt To find: (a) the value of integration by Trapezoidal and…

Q: cosh? z + sinh2z=1 true False O оо

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Q: Let x Є Z. Prove that if x2 - 8x + 11 is divisible by 4, the x6-1 is also divisible by 4.

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Q: 5.Express this model of an electric circuit d²y dy +6 +5y=sin10t, y(0)=0, y'(0) = 1 dt² dt As a pair…

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Q: a.) Express the rate of sales decline as a differential equation. (Here, "K" will be negative) b.)…

A: Follow the steps.

Q: Hand written plz = (b) Find the mass of the surface S, where S is given by r(u, v) (2uv, u²-v²,…

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Q: Solve the given initial-value problem. dx y − x = 6y², x(8) = = 1 dy x(y) = Give the largest…

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Q: Given that a system of linear equations has the following augmented matrix: [1 2 -2 1 3 5 1 2 4 7 −1…

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Q: The differential equation 20x+x²y=2x+3₁ (0)=5 is dx O linear with fixed constants O undeterminable…

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Q: Convert 5 inches to centimeters. Round your answer to the nearest hundredth, if necessary. Be sure…

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Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: Use the given graph to estimate the value of each derivative. (Round all answers to one decimal…

A: To find : the estimated value of f'(0) from the given graph.

Q: 4. If ) (√4x) then x= B. C. 2 D. None of them

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Q: Given the function z=f(x,y)=2y³ - 6xy-3x² +2, find the following: a) Vf= b) Find all of the critical…

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