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A: Solution : a) 1 , 1 , 2 , 3 , 5 , 8 , 13 b) lets check above Fibonacci series their is even coming…

Q: Solve the ODE 47 ۶۶۱۱ 4ÿ" -47₁-y=0

A: Solve the  ODE  4y'' - 4y' - y =0

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A: Solution :-

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Q: al P(x) = (x - emainder is -7.

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

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A: We can solve using given information

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Q: 5- X dy + y dx = x cosx dx

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

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Q: Let R be the set of real numbers equipped with the standard topology. Let A and B be two subsets of…

A: Solution:-

Q: Calculate the Taylor polynomials T₂(x) and T3 (x) centered at x = a for f(x) = 16 sin(x), a = 플..…

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Q: 5) Evaluate the iterated integral by converting. - to polar coordinates. a) So So √x²+y² dy dx b) √²…

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

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Q: Given (1 + 3x sin y) dx - x² cos y dy = 0 with y(1) = 0. Using Euler method with h=0.05, y(1.15) =…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method with h=0.1, approximate y '(1.3).…

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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: A. Find the general equation of the conic with the given properties. An ellipse with one focus at…

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Q: Prove that for every integer n ≥ 0, 2 2 2 n n n 2n ()*² + ()*² ++ ()² = (2²). n n

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Q: Power 2 ·cos. x. ² d.x.. 015 a f. cos

A: Solution a: Given ∫00.5cosx2dx Since we know that cosx=1-x22!+x44!-x66!+... then…

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Q: f the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

A: Given,           z3-2xy+3yz+y3-69=0;  (1, 4, 1)

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Q: Consider y' - 2y = 3e2x with y(0) = 2. Using Runge-Kutta method with h=0.1, the k₂ needed in the…

A: Correct option is option (a) 0.80155

Q: Q1: what's the relation between prime and semiprime ideals.

A: As per the guidelines we are supposed yo solve the first question.kindly post another questions…

Q: Evaluate the following integrals using residue theorem: (a) x² Loo (2² + 9) (2²+4)²0

A: As per the policy, we are allowed to answer only 1 question at a time, I am providing the same.…

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

A: Given,xy'=y(lnx-lny) y(1)=4; h=0.1To find: y'(1.3) using Runge-Kutta method

Q: By using Laplace transform to solve y + y = cosht y (0) = 0, what would the particular solution be?…

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Q: nbd. of p. If M and N are nbds. of a point p, then MoN is also a

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Q: set of real numbe of R defined resp

A: Given: A and B are two subsets of ℝ such that A=12,1,2,4 and B=0,1∪1,2. We have to check that A is…

Q: Using Eulers methot: estimate Y (0.3) with step size 6=0₂1 dy given 1/2 =€ +24₁ 4(0) = 1 Solve the…

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Q: Consider xy' = y(lnx-lny) with y(1) = 4. Using Runge-Kutta method ith h=0.1, the k3 in the…

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Q: Solve the partial differential equation: a²u =²; by the method of separation of variables for a…

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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: 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: Lines L₁ = ax+by+c= 0 and L₂ = lx+my+n=0 intersect at the poi each other. Find the equation of a…

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Q: Question 2 Let B = Qn (0, 1) be a subset of R. Consider a function f: N→ B defined by 1-n f(n) = ans…

A: A sequence which is moneyone increasing or decreasing and bounded above or bounded below…