Use the Convolution Theorem x{t ['re=1 or} Lt те-т 3s +1 2 S s² (s+1)³

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Q: (ii) slatch the following spherical equation 0 1 ad (її) жетси the Tollowing spherical equation of=1…

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Q: Q23/1 useing Lagrange Method determain Mexiuman area leacted in Side tringle of base ! equel -10 CM…

A: We will use Lagranges multiplier method to find optimal solution  To maximize/ minimize f(x,y,z)…

Q: Find the general solution to the system of equations 2t dx dy + dt dt = e²t d²x dx + + x + y = 0 dt²…

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Q: Let T: Rm R and S: R RP be linear transformations. Then So T: Rm RP is a linear transformation.…

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Q: 9-4 √&(x-5) y-4 = √√√ & (+²+5-5) y=4 = √√ = +² 4-4 = + t t y = 7/1/20 +4 · +² +5 x =

A: Solution

Q: Given Taylor polynomial is pn(x) =

A: Given the Taylor polynomial is                       pn(x)=∑j=1n(-1)j-1j(x-1)j

Q: use the Laplace transform to solve the differential equation y"(t) + 4y(t) = h(t) with y(0) = 2 and…

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Q: 1. Given a two variables function z = f(x, y) = √√√36 - 4x² — y². (i) Determine the domain and range…

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Q: A certain electronics manufacturer is making GPUs for gaming laptops (GPU stands for graphics…

A: given marginal cost to produce x GPUs is C=0.03x2-8x+700

Q: Find the given inverse transform (i) º (ii) 덱 s? + 6s + 1 1 (s-1)³ # 1 s²+2s - 8,

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Q: Integrate f(x,y,z) = x + √√y-z² over the path from (0,0,0) to (4,16,4) given by C₁: r(t) = ti+t²j,…

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Q: X 0 5 Conclusion unstable node saddle point

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Q: 15) lim cos (2x)

A: Let fx=cos2x

Q: 16 s²+N B) Find the Laplace inverse for the-

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Q: 12 2 -18 A = -10 0 18 7 1 -11 If possible, find an invertible matrix P so that A = PDP-¹ is a…

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Q: Q311 useing Lagrange Method determain Merxiuman area leacted in Side tringle of base! equel -10 CM…

A: Note:- For this problem, we take right triangle as given that rectangle is located on the base and…

Q: The auxiliary equation of the differential equation -5y""+y' + 2y = 0 is -5m³ + m² +2m = 0. O False…

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Q: Find the approximated value of x until 4 iterations for e* = 3 log(x) using Bisection Method. Show…

A: We have e-x=3log(x) ⇒ f(x)=e-x-3log(x), taking a=1, b=2

Q: Two large tanks, each holding 100 L of liquid, are interconnected by pipes, with the liquid flowing…

A: Let at any instant t, The weight of salt in tank A is 2 And tank B is y By using given conditions…

Q: 6.(5e* -e)dx

A: Solution

Q: Q1. (a) If Aį = {-i,−(i − 1), . . .−3,−2,-1, 0, 1, 2 }, for i = 1, 2, 3,. . . find (i) U₁ A6 and…

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Q: Determine the truth value of the statement (~r^ p) Aq using the following conditions. a) p is false,…

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Q: Apple Company creates new plan to decide the quantity of mobile phone to be produced. There are 3…

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Q: Find the Laplace Transform for the function e-Nt sin² (Nt)

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Q: ||y|| = sup |(x, y) = sup F TEE IEE ||||

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Q: Write down the first five terms of the following recursively defined sequence. a₁ = 3; an+1 = -2an…

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Q: An isosceles triangle with a base of length b and height of h has a rectangle inscribed. If the base…

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Q: For the function y=f(x), it was found out that f'(c) = 0. What can be said that x=c? critical point…

A: Critical point of the function:

Q: let x be a set and {TiliEI} be a collection of topologies on x. show that the intersection n Ti is a…

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Q: Use the Convolution Theorem and this example to evaluate the given Laplace transform. Do not…

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Q: Q-4. Solve the homogeneous differential equation - C (co ²) (ydx + xdy) = y (sin ²) (rdy – ydx)

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Q: nx Let {fn(2)} = {1 for x ≥ 0. 1+nx . (a) Find lim fn(x) = f(x). n-x (b) Show that if t > 0, the…

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Q: Let fn(x) = x¹(1-x), r [0, 1] and n € N. Show that fn = 0 on [0, 1] but that {f} is not uniformly…

A: given fn(x) =xn(1-x),             x∈[0,1] and n∈N To prove:- {f'n} is not uniformly convergent

Q: Problem 2. Let f be a homomorphism from a group G into a group H. Prove that f is one to one if and…

A: Let f be a homomorphism from group G into group H. Suppose f is one to one . We need to show that ,…

Q: The Laplace transform of the function f(t) = e³-¹(2t — e³t)² is: - [(8e^3)/(s+1)^3]-[(4e^3)/(s-2)^2]…

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Q: An incomplete intermediate simplex table for an LPP is given below: -1 Cj 3 -2 0 0 CB Basis XB X₁ X₂…

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Q: Q1. Find the half-range sine and cosine Fourier series for f(t) = t in each case. 0 < t < 2. Draw…

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Q: The matrix has two distinct eigenvalues such that λ₁ < 2₂. The smaller eigenvalue ₁ = The larger…

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Q: Draw the function then find the trigonometric form of 2 1 < t < 2 in cacn case. Q2. Find the…

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Q: Many say that baseball, which is commonly called America's National pastime, is a game with a low…

A: 1. The formula for probability is P= Number of successes(outcomes in fever) total number of outcomes…

Q: Problem 2 The functions g and fare related by the equation g(x) = f(-x) + 3. Which sequence of…

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Q: A water tank has the shape of an inverted circular with base radius I'm and height Im If water Cone…

A: Differential calculus has a wide application in real life. Mainly, it is used to determine the rate…

Q: (a) Find a perfect matching in the graph below. 1 (b) If G = (V, E) has a perfect matching, show…

A: According to our guidelines we are only supposed to answer the first three subparts. Kindly repost…

Q: For every real nx n matriz A, there is a s either a Householder matrix or the identity, R=H₂H₂H₁A.

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Q: nd the exponential Fourier series for f(t) = ={/²2 Fourier series. 0 < t < 1 1 < t < 2 then find the…

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Q: c) x. ди(x,y) дх ди(x,y) = u(x,y) — у. = ду

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Q: Let (S,F,u) be a mee e B₁, B2 E F satisfying (E 1) = μ(B₂) for any pair of B₁) = 0. Then ao-algebra…

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Q: Using Simpson's method ²x³ dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

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Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…