7. In the process of computing the inverse Laplace transform of the function F(s) = -23 - arctan ¹ (²) an equivalent expression is obtained given by: a s² + 121 What is the value of a?

Q: 10. Z+Z=0 O True O False

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Q: Find the Inverse af la place transform gigNu (m+ 7)) 9 = (3) M 25-3 3-45 +13

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Q: Let S = { 1 − (−1)″ | n € N}. Determine inf S and sup S. Justify. n

A: Let S be a subset of real numbers. Then we say a∈ℝ is the infimum of S if for any ε>0 there…

Q: Task 5 (Show manual calculations for this exercise) Let the partial differential equation J²u U= J²u…

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Q: 3. Given (3, 10,-8) and v = (-1,6,4), b) find a unit vector in the same direction as v-u

A: The given problem is to find the unit vector in the same direction of the vector v-u. Given vectors…

Q: B/ If Ø = (x³y²z) and A = 2xzi - 3y2j+ 3xy²k Find a(A) at ду дх the point (2, -1, 3)?

A: When partial derivative is done with respect a specific variable, then other variables are treated…

Q: 4. Consider the convolution f(t) = 24 2(t-11), where corresponds to the Heaviside or unit step…

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Q: Q1: (a) Estimate the value of the function f(x) = e²x at x = 1.5 using a Taylor's series expansion…

A: here i used Taylor's Expansion to solve this question.

Q: of the function. 4. Find the Fourier transform of of 1/(1+t²).

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Q: 6. Evaluate the z transform of x(n) = a-"u(n).

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Q: Using the triple integration, write the limits of integration for all the six orders of dV for the…

A: Given function: z=y2 and the xy-plane that is bounded by the planes x = 0, x = 1, y = -1, y = 1 To…

Q: log3814 4log100-2 b) -log0.0135 d) 2log4128-5

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Suppose TEL(R²) has no eigenvalues. Prove that T is invertible. Prove that Te is diagonalizable. If…

A: Given : T : ℝ2→ℝ2 is a linear transformation such that it has no eigen values in ℝ. To prove : (i) T…

Q: 11. Determine the solution of u (x,0) = 0, u (0,t) = h, where h, k, and A are constants. Utt = c²ur…

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Q: Solve the IVP y" +9y=U(t− 3) sint y (0) = 1, y (0) = 0

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Q: Find the solution of the initial value problem

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Q: Write a division sentence for each

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Q: A subset of the real numbers SCR is defined by the statement that x E S whenever x is a real root of…

A: As per the policy we are solving first three subparts. Please specify which subparts are to be…

Q: max Z= 3x₁ + 2x₂ -X1 + X₂ ≤4 3x₁ + 2x₂ ≤ 125 X1 X₂ ≤3 X1, X₂ ≥ 0

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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: d6 1 2-₁ {-101 = ds6(s-7)2-64, 13. If L-1 6₁)} = atbect senh(8t), the value of (a.c) is:

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Q: Find the equation of the least squares regression line of y on x, for the following sets of data:…

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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: Question 4: Solve the following non-linear program (find the optimal point and the optimum value).…

A: Given,  Max =2x+y2 3x+2y≤10 s.t  x,y≥0 x,y∈ℤ We are not allowed to use graph

Q: Ex.2 Consider ƒ € C²(R²) and Po a stationary point for f. Let H,(Po) = (27¹1) be the Hessian matrix…

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Q: (a) Given that sin²+ cos²0= 1, show that 1 + tan²0= sec²0. (b) Solve, for 0≤ 0< 360°, the equation 2…

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Q: Use computer software to obtain a direction field for the given differential equ y' = x (a) y(0) = 0

A: Given the differential equation is            y'=x

Q: b) let R be the disk in the xx-plane centered at the point (0.2) and with radius 2. Calculate JJ₁…

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Q: Use Laplace transforms to solve the differential equation ,, Y +6y' + 13y = 0, given y(0) = 3 and y'…

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Q: Let F: R² R2 be the conservative vector field defined by F(x, y) = (exy. -ey) and lety: RR be a…

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Q: ) If G is a group and X is a G-set, then the subset (g in G: for all x

A: To explain the given statement is true or false as,

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable…

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Q: D Solve the following differential equation by using method of undetermined Coeficients -X 13=44²4…

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Q: Use computer software to obtain a direction field for the given differential equation. Sketch an…

A: Direction field: When the solution of a first order differential equation is represented graphically…

Q: when I typed into my online assigemnt

A: Please find the answer in next step

Q: Find the general solution for equation y" - 2y" - 3y +10y = 0

A: y'''-2y''-3y'+10y=0

Q: \f(t) 5 | 07 n

A: output of full wave rectified sine wave can be written as 5 sinωt or  fωt=5 sinωt0&lt;ωt&lt;π-5…

Q: An earthquake in Peru was measured at 5.3 on the Richter Scale. The following day a second…

A: For the solution of the problem follow the next step.

Q: 2. Do the two planes intersect? If they do, where do they intersect? TT 2x - y + z = 1 = 0 3 TT 4 x…

A: Equation of the line perpendicular to the given plane be n1 &amp; n2 . Now here n1≠ k n2  , where k…

Q: Lic 15 F(s) s² +9 Your answer should be a function of t. L-¹{F(s)} = 3 = 8¹

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Q: y² = x³ y = √2-x 24 / (1, 1) (a) Let R be the region bounded by the red curv y = √2x, the black…

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Q: Let A E M₁ (R) be the matrix d₁ d₂ d3 d₁ 0 1 1 1 A: 1 0 1 1 1 1 0 1 where the first row consists of…

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Q: Which of the following could be a linear combination of the set {(a, b), (c,d)}? (Circle ALL that…

A: We find which of the given could be a linear combination of the set { ( a , b ) , ( c , d ) } .

Q: Explain in word what conditions must hold in for a particular inconsistent system. What are the…

A: To explain: Conditions to be hold for a inconsistent system and methods to verify it.

Q: x 1 2 3 4 5 6 7 8 9 10 y 1 2 4 8 16 32 64 128 256 512 Create a scatter plot of the data given and…

A: The general exponential functions are defined using the equation: y=abx, where x, y are variables…

Q: Let S = { 1 − (−1)ª | n € N}. Determine inf S and sup S. Justify n

A: A real number a is called a lower bound of a subset X of real numbers if a≤x,   ∀x∈X. A real number…

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A: The rectangular box has a square base. Let the base side be x Then the base area is x2 The Sum of…

Q: Determine ¹ 4s² - 5s +6 (s+1)(s²+4)

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Q: b) Find the root of the equation f(x)=x-2 + Inx that has a root near 1.5. Use the Newton-Raphson…

A: Q.b asked and answered .