1 25. L-I s + 5s

Q: Determine the inverse Laplace transform of the function below. 7. Click here to view the table of…

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Q: Show that r =1+i, x2 = 1- i is a solution of (3+ i)x1 + (1+ i)x2 = 4 + 4i

A: The solution is given as

Q: If A is a 3x3 matrix with eigenvalues 1 and​ 2, which option is impossible for diagonal matrix​…

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Q: Find the transform of the ff: a. by calculations b. by using table 1 1.f (t) = 5 sin 4t 2. f (t) =…

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Q: If f(z) = u + iv is entire and u(x, y) is bounded above, apply Liouville's Theorem to exp(f(z)) to…

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Q: Show that the equation + 2x- + (1– y²) %3D dx2 dx²y dy² s elliptic for values of x and in the region…

A: Here we use B^2 -4AC to find these .

Q: (b) Evaluate the given trigonometric integral sin r dx (x² + 1)(x² + 9)

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Q: A car travels along a motorway and the amount of petrol in it tank is monitored as shown on the…

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Q: in R°sketch the graph of the cylinder x = (y – 2)?

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Q: Are the following series conditionally convergent, ab- solutely convergent, or divergent? Show all…

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Q: 3x dx x +x-6 2

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Q: 2222 (mod 13) is equal to O 1 (mod 13) O 12 (mod 13) O 2 (mod 13) None of the mentioned O 6 (mod 13)

A: Properties of modulo function  a≡b(mod n ) then an≡ bn(mod n) a≡b(mod n ) then ac≡ bc(mod n)…

Q: Let -4 -1 7 -11 3 -1 A 13 -1 1 -3 13 -1 1 -3 Find orthonormal bases of the kernel and image of A.…

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Q: Show that the centre of a ring R is a sub ring of R. And also show that the centre of a division…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: To find the domain of r(t) and the value of r(t0).

Q: Karina plays a video game that is scored by round. In about 500 rounds, her career average is 202…

A: Given: μ= 20σ=5 Formula used: μx= μ σx = σn

Q: Express the following set in set-builder notation. B= {12, 13, 14, 15, 16, 17, 18, 19} Choose the…

A: The given set is                          B=12, 13, 14, 15, 16, 17, 18, 19 We have to express the…

Q: (c) The motion of a mass-spring-damper system is given by the differential equation d?y +8 + 20 y =…

A: We have to solve the given problem.

Q: (a) Explain the main difference between the Euler angle representation and Quaternion representation…

A: As per the policy, we are allowed to answer only 1 questions at a time. So, I am answering the first…

Q: Prove that ifH and K are subgroups of a group G with operation *, Question 8. then HNK is a subgroup…

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Q: 4. Show that the norm on (° given by I| (21, ..., In...) |lo= sup{|7;| : j =1,2, ...} %3D can not be…

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Q: dx X*(4x+9)E

A: Given the integral ∫dxx24x4+932 We will use the the method of substitution to evaluate the integral.

Q: Consider the contour represented in the following figure. The points marked on the figure are А(3,…

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Q: Solve the given ODE using Laplace Transform 3. y"(t) – 6y'(t) - 2y(t) = 4 cos 2t – 4t³; y(0) =…

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Q: Tyra will be setting up a stall during the school fair where she plans to sell cupcakes and donuts.…

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Q: a matrix Pthat orthogonally diagonalizes A, and determine P "AP. A = P = P P = P P O min 5

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Q: Find a minimum value for the radius of convergence of a power series solution about xp -7*12) y-3xy…

A: Given equation is (x2-7x+12)y''-3xy'-y=0 and x0=0   To Find the minimum value for the radius of…

Q: Determine whether the Existence and Uniqueness of Solution Theorem implies that the given ihitial…

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Q: u(x, 0) = ÷(1 -), 0 0 Eq. 2 Uz = a?uxx, 0 0 Eq. 3

A: Using superposition principle and half range Fourier series coefficients.

Q: Maximize z = 5x1 + 2x2 + 3x3 subject to X1 + 5x2 + 2x3 s *1 - 5x2 - 6x3 s bz The following optimal…

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Q: The exponential model A=777.3e0.019t describes the​ population, A, of a country in​ millions, t…

A: For a function: y=f(x), the dependent variable is y and the independent variable is x . The value of…

Q: Try plotting Three Vectors and show the Resultant Vector as a result. Use Head to Tail Method.

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Q: On their anniversary, Luna received a box containing x violet flowers. The number of these flowers…

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Q: 1. Phillip has 8 red balls, 3 green balls, 6 yellow balls, 3 orange balls, 13 black balls and 15…

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

Q: 5. f(t)=-3t*e05t +3.8t²e24*

A: Note: according to our guidelines we can answer only 5th question  5)

Q: Determine whether the argument is an example of inductive reasoning or deductive reasoning A…

A: Make  a table as follows based on given data 1. Colin played Football Therefore write Football and…

Q: Find the difference quotient of f(x) = x² at x = a and simplify. (The difference quotient at x = a…

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Q: J, (5x)cos( 1.5 15 Jk + (5x – 15)cos(- dx 1.5

A: We will solve the above integration as two parts. let f(x) = (5x) cos (nπx1.5)     and     g(x) =…

Q: 12- (a) Find the solution ( 5) to the following syStem Of inear equations 3x + 24 t 2z = 5 uy+4z =3…

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Q: Let a and b be positive integers such that ax + by %3D 7 for some integers x and y. Then O…

A: Greatest common divisior:  Let a and b be two integers such that gcd(a,b)=d if  d|a and d|b If…

Q: Problem (i) Consider the normalized vector v in R³ and the permutation matrix P, respectively () 0 1…

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Q: Determine whether the equation is exact. If it is then solvė it oy-7 In y 3)dt= 0 Select the cortect…

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Q: 2.(a) Solve the following system of linear first-order differential equation (2D – 5)x + Dy = e' %3D…

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Q: Solve using the differential operator D-d/dx 1. dšy d*y + 41ds d3y + 86 dy dx2 + 10 + 92 2 + 40 = 0…

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Q: Find T, N and k for the spacecurves:

A: We have to find Unit Tangent Vector T,  Unit Normal Vector N and Curvature K for given space curve…

Q: 13 A SolidS ccuples the volume bounded by the squdie region D( defined by O E sX L1,0 E E1), and…

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Q: A. Calculate the centroid coordinates of quarter circle (x + y² a) in the first quadrant, use double…

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Q: R.1. Use the Schröder-Bernstein Theorem to prove that the intervals [0, 1) and (1, ∞) on the real…

A: The trigonometric tangent function sprang to mind first, and a strategic linear transformation of…

Q: o span{t? 1 tt 1). 1}.

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Q: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.