y = = [ot (x): [=-x≤x≤r]

Q: If f(n) = 2 + sin(2√a) is defined on the in [1₂6], h= 1/2, find the integrat value the numerical…

A: Introduction: The formula of the trapezoidal method to approximate the integral is given by,…

Q: Solve the following PDE (Paryial Differential Equation) for t > 0. Express the final answer in terms…

A: The given P.D.E is                    utt=7uxx  , x>0u0,t=0ux,0=1utx,0=0 To find: the value of…

Q: Suppose f"(x) = N₂(h) + a₂h³ + a₂h¹ + a₂h³ +.. When calculating N, (h) using Richardson…

A: Solution

Q: Consider xy' = y(lnx - Iny) with y(1) = 4. Using Runge-Kutta method with h=0.1, approximate y…

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Q: The following data gives an approximation to the integral M= f(x) dx N₁(h) = 2.2341, N₁ = 2.0282.…

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Q: Romberg integration for approximating f¹ f(x) dx gives R₂1 = 6 and R₂2 = 6.78 then R₁1 = a) 2.66 b)…

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Q: Q2/ Find the Dual for the primal problem? P: Max y1 + y2 Subject to: y1 + 2y2 ≤ 6 y1 y2 ≤ 3 y1, y2,…

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Q: If a, ß be the roots of ax² + 2bx + c = 0 and a +8, B+8 be those of Ax² + 2Bx+C =0, then 2 b - ac…

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Q: We use the same notations for the interval E = [-1,1]. Show that 1 Mn+1 n+ 1 S 2n-1 M₁ 2n-1 Deduce…

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Q: Consider the subgroup H = (i) of the the group (C\{0},.). LIT TT TT?

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Q: 2. n a geometrical progression first term and common ratio are both 1/(√3+ i). Then the 2 absolute…

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Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

A: We can solve this using given information and relative error

Q: (!) Let G be a graph whose odd cycles are pair wo odd cycles in G have a common vertex. Prove

A: Given : Graph G has odd cycles that are pair-wise intersecting, i.e, every two odd cycles in G has a…

Q: en artifact found in a crypt contains 93 percent of the carbon-14 that is present in living flax. To…

A: Given that a linen artifact found in a crypt contains 93 percent of the carbon-14 that is present in…

Q: Consider y' - 2y = 3e²x with y(0) = 2. Using Runge-Kutta method with h=0.1, find the relative error…

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Q: What is the area of the shape?

A: Given,

Q: Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by f(n) = an, where an = 1-n…

A: Given B=ℚ∩0,1 a function f:ℕ→B defined by  fn=an where an=1-nn+1

Q: 1. An airplane is flying towards a radar station at a constant height of 6 km above the ground. If…

A: Solution :-

Q: Question If f: (R, mL) → R and g: (R, mL) → R are measurable then:

A: Given statement:-  If  f  :  ℝ, mL  →ℝ  and   g  :  ℝ, mL  →ℝ  are measurable then:

Q: Find the number(s) b such that the average value of on the interval [0, b] is equal to 15. Select…

A: Introduction: The formula for the average of the function f(x) over the interval a,b is given by,…

Q: Given (1 + 3x sin y) dx - x² cos y dy=0 with y(1) = 0. Using Euler method with h=0.1, y(1.3) = y(A)…

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Q: The following data gives an approximation to the integral M= f(x) dx N₁ (h) = 1.2341, N₁ () =…

A: Solution :-

Q: PROBLEM S Prove that in any bi-right quadrilateral DABDC, LC> LD if and only if BD > AC. (Assume ZA…

A: Given , In any bi-right quadrilateral  ABCD ∠A and ∠B are two right angles .Let ∠C > ∠D   now…

Q: Find the derivative for this question correctly

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Q: Problem (i) Let n ≥ 2 and n = 2k. Let A be an n x k matrix and A* A = Ik. Find the n x n matrix AA*…

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Q: Let B be the sphere x² + y² + z² = 1. The volume of the portion of B contained in the first octant…

A: The volume of a solid in spherical coordinates can be calculated by using the following formula.…

Q: (c) Compute of using the Chain Rule. of дf дх дf ду дf dz. + дя дх дя ду дя дz дя (Use symbolic…

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Q: (b) Evaluate the characteristic value of k in the following differential equation w "+k²x³w = 0 w…

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Q: Let f: RS be a nontrivial homomorphism from a field R onto a ring S. Prove that S is a field.

A: The given question is related with abstract algebra. Given that f : R → S be a nontrivial…

Q: A circle has a diameter of 26 units. What is the area of the circle to the nearest hundredth of a…

A: To find the area of the circle, you will use the formula for finding the area of any circle.…

Q: Setting x= cos or cosho show that Tn(x)==[(x + √X²_₁ )² + (x-√x ²₁ ²]

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Q: 4-In any elements is the only nilpolent elements a(-b) = (-a)b = = (ab) (-a) (-b) = ab

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Q: 10. f (x, y) = 1 sec(xy) in(rv)

A: Solution:-

Q: 1 The condition that the roots of the equation x³- px²+qx-r=0 may be in harmonic progression is (a)…

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Q: 1 Consider The system

A: Introduction: In linear algebra, eigenvalues are related to eigenvectors. In the analysis of linear…

Q: Let f be a given function. A graphical interpretation of the 2-point forward difference formula for…

A: According to 2-Point forward difference formula approximating f'x0, we have,f'x0 ≈…

Q: the chord joining points the A(x) and B(B) on the hyperbola -= 1 is a focal chord, then prove at…

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Q: The length of the arc that is subtended by a 360° angle is actually the found by the formula :. # of…

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Q: 8. Find all values of (a) 212. (b) (-1). 6

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Q: × ➜ TO Use the short truth table method to determine whether the following argument is valid. (p →q)…

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Q: A region is enclosed by the equations below and contains the point (2,8). y= 8 sin(a), y = 8(x -…

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Q: 31 Let F be a field and let f(x) in F[x] be a nonconstant polynomial. Let K be the splitting field…

A: K is splitting feild. K=F(a1,a2,.......an) for ai roots for polynomial over F  we can prove it for…

Q: تام Salve b finite diffrence methed 1 لكل سليم + 3 مع لوله

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Q: Prove that if a and b are integers with a 0 and where + b - a = 0, x is a positive integer such that…

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Q: 2. Find the general solution of cos² x sin x dy + (y cos³x - 1) dx = 0

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, the k₁ in the…

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Q: 1/q + 1/r + 1/p =1/m p, q, r are pr

A: Given: An expression 1q+1r+1p=1m, where p, q, r be the primes and m be the natural numbers. To find:…

Q: a is a positive integer. Explain your reasons clearly. (a) {a, 0, a, 0, a, ...} (b) { ₁. a + ² ₁ 0 +…

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Q: 0.35 1000 x 2²-4 dx

A: Given integral is I=∫00.352x2-4dx Here f(x)=2x2-4 Let the number of subinterval be n=4 then step…

Q: 2 dy dx x/2 e

A: According to our guidelines we are supposed to answer only one asked question.kindly repost other…