3:Use Gamma & Beta properties to evaluate : 2x¹e¹-* dx

Q: 9.M.3 A 2 × 2 matrix A is symmetric, and has eigenvalues 3 and -2. A 3-eigenvector is [3]. 5 Find A.…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)² = 2y, the…

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Q: The inverse Laplace transform of 7s s² + 36 where A and b are constants. Determine A and b. is A…

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

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Q: Example 10.21. Given y'= x(x² + y²) ex, y(0) = 1, find y at x = 0.1, 0.2 and 0.3 bv Taylor's series…

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Q: Question 12 Calculate the area of the smaller region (to the left of the parabola) bounded by…

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Q: Example 10.28. Solve the differential equations dy dz = 1 + xz, = -xy for x = 0.3, dx dx using…

A: Here we need to use runge kutta method. please find solution below:

Q: The real part of csch (2-j3) is O -0.5118 O none of the other choices O -3.5906 O 9.8844 O 1.0357 O…

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Q: Determine the solution to the system of equations below. Must show detailed solutions. x² - 2y = 8…

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Q: Example 10.14. Apply Runge's method to find an approximate value of y when x= 0.2, given that dy/dx…

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Q: 26 p44 dxdy xy A

A: FIND THE integral value USING SIMPSON RULE

Q: p(1U1) and p((2U2) 1)). 0.11 0.05 0.07 0.08 0.09 0.10 0.20 0.12 0.15 1 0.03

A: Follow the steps.

Q: 5 6. (s+3)² 7. 3 s2-32 8. L{f(t)}: 3s²-1 s²+8+1

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Q: pointing, and i

A: Given as, A = 300N (+3, -4, +6) B = 400N (-2, +4, -5) C = 200N (-4, +5, -3)

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: Given  Weight density =9000N/m3 By Pythagoras theorem, CD2+AD2=AC2⇒CD2+1 =22⇒CD2=3⇒CD=3

Q: Solve for the laplace transform. Show your solution.

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: 1. One period of a function is shown. Draw two more periods, indicate on the graph 2p and give the…

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Q: 1.4 Compute the value of ₂ (sin x − log x+.e* ) dx using Simpson's th rule. 8 0.2

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Q: . Use linear algebra techniques to find the center and the radius of the cle a(x² + y²) +bx+cy + d =…

A: Note: since you have posted multiple questions. As per our guidelines we are supposed to solve only…

Q: Example 9.10. Solve y2 - 4y = n² + n - 1.

A: Please find step by step answer below:

Q: 3. a) Compute: f (Rez-32) dz where I is a directed line segment from z=0 to z=i. b) Let C be the…

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Q: Determine if F=(e* cos y + yz)i + (xz-e* siny) j+(xy+z)k is conservative. If it is conservative,…

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Q: Use Cartesian coordinates to evaluate JJJ xy² z dv D where D is the tetrahedron in the first octant…

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Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We have to find the hydrostatic force on one end of the trough.

Q: ds dt dQt dt dP dt = μ-μP-BPS, :-(µ + y) S + BPS + αSQ₁ = = −µQ₁ - αSQ₂ + y(1-0) S.

A: As per the question we are given a population model in terms of dynamic system. And we have to find…

Q: Given that A and B is a group. Find out if : A→B is a homomorphism. If it is a homomorphism, also…

A: We have given a map ,  ϕ : A → B , where A = ℝ , +   ,  B = ℝ* , · such that  , ϕx = 2x We know that…

Q: Q4: A- Choose the correct answer for the following: 1- A cofinite topological space (X, T) is: a-…

A: As per our guidelines we are supposed to answer only first question. Kindly repost other parts in…

Q: A trough is full of liquid of weight density 9,000 N/m³. The ends of the trough are equilateral…

A: We have to Find the hydrostatic force on one end of the trough.

Q: 2: Find the first 4 terms of the Taylor series for: f(x)=sin лx near a=0.5

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Q: from Example 10.18. Using Runge-Kutta method of fourth order, solve for y at x = 1.2, 1.4 dy 2xy +…

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Q: QUESTION 6 Sanna and Obadia argued about the definition of .00 e-x Ldx Sanna split the integral as…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)² = 2y, the…

A: The shaded region is our required area

Q: 9.W.1 The Gram matrix of an inner product on R2 with respect to the standard basis is G = 1 2 -1…

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Q: 4. Given these data X 1 2 3 5 f(x) 3 19 99 Calculate f(4) using Lagrange polynomials of order 3. 7…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: Solve the boundary value problem of y" +25y = 0 where boundary conditions y' (0) = 6, y' (n) = -9

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Q: Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the fifth…

A: we need to solve this problem using picard's method.

Q: constants. ple 9.2. From y₁ = A2" + B(− 3)", derive a difference equation by eliminating the

A: Given, yn=A2n+B(-3)n   1 Replacing n with (n+1) and (n+2) in the above relation…

Q: Use Polya’s Four Steps to solve the following problems. Susie’s age this year is a multiple of 5.…

A: Since  you have posted a multiple  question according to guildlines I will solve first   question…

Q: 5 Lim 9-5 -4 dx 2 -x²-8x-15

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Q: If Ø: R→ S is a ring isomorphism. The Ø preserves: O Nilpotent elements O Idempotent elements O…

A: Let ϕ : R → S be ring homomorphism We know that a mapping ϕ : R → S is ring homomorphism if for all…

Q: Determine the Inverse Laplace Transform of S-- 5 S-3 (s+1)(s³-27)

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Q: It will be really helpful u can provide detailed solutions...  Like show all working

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Q: Example 10.12. Solve the following by Euler's modified method dy = log (x + y), y (0) = 2 dx. at x =…

A: Solution: Given, y'=log(x+y) y(0)=2 Applying Modified Euler method: f(x,y)=log(x+y)…

Q: Example 10.4. Find by Taylor's series method, the values of y at x = 0.1 and x = 0.2 to five places…

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Q: answer b

A: We will standardized the equation to identify type of surface  and then will draw it

Q: Find the area of the region bounded by y = x^2 + 2x -6 and y = 3x. Determine the area of region…

A: Note: As per the guidelines we are supposed to answer only 3 subparts question. For the remaining…

Q: Solve the following differential equations: 1. () + (x −2x*)y'+xx=0

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Q: A window has the shape of a parabola above and a circular arc below. Find the area of the window.…

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Q: x-1) 1/6(x+2) 16/3- (x+1) 1/2 x-1) 1/6(x+2) 16/3 (x+1) 1/2 x-1) 1/6(x+2) 16/3 + +

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