1 Obtain a numerical solution of y-1 = using Euler's method with step size equal to (0.02) y and y(0)=1. The estimate y(0.12) is .....

Q: Q1) Evaluate the following integral by using Odd and Even Powers Method: y = cos(x) dx

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Q: ulsu (un (a) u

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Q: the inverse Laplace transform of the following function: 68²-50 s+92 f(s) = (S-2)(8-3)(8-4)

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Q: i. f(x) = 8e* - x7. ii. f(x) = e cos 3x.

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Q: Task 2: Triple Integral Given a solid bounded by the paraboloid z = 16-1²-y² in the first octant.…

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Q: 6. Find the general solution of the PDE. The solution u is a function of x and y. Ux=x-yz +y³

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Q: Hand written plz 2. Standardize the following LP model. - max z = −3x₁ + 8x₂ − x3 + 12x, - 3x₁ +8x₂…

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Q: (c) Explain the Bisection Method to compute a real root of f(x) = 0 and find the condition of…

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Q: 5. Evaluate the following integral [² 2x cos² x dx by using Trapezoidal's rule with 6 subintervals.…

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Q: USING Laplace's transform, solve: +∞ Cos (7x) dx X²+25

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Q: Find N (t), T(t), aŢ, and añ: r(t) = t³i+ 8 cos tj + 6 sin tk; t = π

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Q: (i) Use the chain rule to show that -3x = (In 3)32 dx Hint: use the fact that 3 = eln 3ª (ii) Use…

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Q: mod can be applied if the function is continuous only.

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Q: 4 The remainder when the expression x³ + x² - 5x-3 is divided by x-2 is 5 times the remainder whe…

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Q: Q/ if f continuous map Prove that f(B) ≤ f(B), VBCY

A: Given f: X→Y is continuous To Prove: f-1(B)¯ ⊂f-1(B¯) for all B⊂Y

Q: Let f: [-2,2] → R be defined on [0.2] by f(x)= {2 rove that f is Riemann integral. X≤0 x < 0

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Q: 3: The cubic interpolation method with two points has converge rate with order three. True False

A: Solution

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

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Q: Consider the function f(x) = x² + 7x + 13 x + 4 (a) Find the domain and intercepts of f. (b) Find…

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Q: 2. Standardize the following LP model. - max z = −3x₁ +8x₂ − x3 + 12x4 - - 3x₁ +8x₂ + 3x3 3x4≤5 3x₂…

A: The standardization of a linear programming(LP) model is done using the slack or surplus variables.

Q: Q/ if f continuous map Prove that f(B) = f(B), VBCY

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Q: If M is a proper subgroup of G we call it maximal if M≤ X ≤ G implies X = M or X = G. The Frattini…

A: Solution:If G has no maximal subgroups, I(G) is taken to be G.⇒I(G) characterizes G in this…

Q: Express the polynomial f(x) = 2x² + 3x³x²+x-2 in the form f(x)=b₁(x - 5)¹. i=0

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

Q: Find arc length: r(t) = 3 cos ti + 3 sin tj + 5tzk

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Q: 2. Given the following sets, where U is the universal set, and A, B and C are three sets in the…

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Q: Check whether these statement are consistent or not: a. ¬(p Vq) and (pq) b. rqAr and ¬(qV¬r)

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Q: -21 Given that Y, (t) = e a FUNDAMENTAL SET of solutions. and Y₂ (t) = e-³t are solutions of the…

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Q: 1) At what simple interest rate per annum will P35,500 accumulate to P61,000.00 in 6 years and 9…

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Q: 9: In the steepest descent method the vectors (Xk+1-Xk) and (Xk+2 - Xk+1) [2 [4] 2 are orthogonal…

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