|I E with [d] Let L be the set of all E R ()() In-1 Show that Lis a subspace of R2n is, calculate the dimension of L and find a base of L.

Q: Find delta value for the limit of x-->0 of tan5x/sinx when epsilon = 0.1

A: Introduction: The limit of a real-valued function is the base of differential calculus. A single…

Q: The integrating factor of the LDE y =x-2ycotx is A cos?x B sin3x © sec?x D csc?x

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Q: Given: A = 0.6 – j0.4 B = 0.5 + j0.8 C = 0.6 – j0.8 D = 0.5 + j0.4 Evaluate: (c+)/ log. (3B) (cos…

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Q: 2) Let k be any integer greater than 1. Prove that for all n 20, we have: 1 (k – 1)· k +k' +k +...+…

A: Let k be any integer greater than 1. To prove that for all n ≥ 0 , we have:  (k-1)*[k0 +k1 +k2…

Q: 2y 3 = xe

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Q: 2. DeC h Do

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Q: y' = 5xy-2x

A: Find the general solution of the given differential equation using separation of variables :-

Q: Verify the trigonometric identity sin(z - 1/2) = - cos(z)

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Q: rice.brightspace.com 3/3 129% 9. You are designing a water slide. Your first step is to create an…

A: Please comment if you need any clarification.if you find my answer useful please put thumbs up.Thank…

Q: 2. Determine whether you need to add a 1 or 0 to the following string of numbers 01000101101 using…

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Q: y' = 5xy- 2x

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Q: Brendan Quinlan and Maeve Lynch are a couple. They decided to open an Irish restaurant in Changchun,…

A: We are given the following information. Brendan and Maeve decided to serve only two full-course…

Q: pls solve this ques within 20-30 minutes Please answer the question in Mathematica coding format…

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Q: In 1991, the moose population in a park was measured to be 3870. By 1999, the population was…

A: Here first we find the formula for P(t), which will be the line passing through two given points.…

Q: Drag and drop your selected answer for each of the ollowing 7 questions. Each answer may be used…

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Q: A small boat leaves the dock at Camp DuNuthin and heads across the Nessie River at 23 miles per…

A: The side with touches the angle is given by rcosθ. The another side is given by rsinθ. Magnitude of…

Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

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Q: Consider the map T: P2 → P1 given by T(ao + aj x + az x²) = -ao – a2 – 2aj x. (a) Calculate T(2x –…

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Q: Let I be an ideal in a ring R with unity. Show that I = R if and only if I contains a unit.

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Q: ne graph of the following equations in R3. x+ 12y – 2z + 35 = 0 . Show the traces as well.

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 12, (1, 3, 4) 12x…

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Q: B = {3 – 3x, 9 – 2x – 9x², 13 – 4x – 12x?} is a basis for P2. The coordinate vector of p(x) = 4 + 2x…

A: We have to find the coordinate vector of P(x)=4+2x-6x2. w.r.t the basis…

Q: x2 Fusing trigonometric substitution, Jf(x)dx is transformed into In solving for the antiderivative…

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Q: Consider the following system of differential equation, with time domain tE (0, I) =--e. (0)-0, (0)…

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Q: Find the Laplace Transform of the following functions 1) f(t)=t cos(@t) 2) f(t) =t sin(@t) 3) f(t)=t…

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Q: For any positive integer n, Bn is a n x n matrix. B is a n x n matrix. n is an arbitrary positive…

A: We have to find the determinant of Bn and we have to express it as a function depending on n, x, and…

Q: CONSID ER THE FOLLOWING S ERIES (4x+8) n =0

A: Given the series ∑n=0∞-1n4x+8n4 (a) We have to find the series radius and interval of convergence To…

Q: solve the question with complete neat explanation within 10 mins and get upvotes

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Q: Show that the Fourier series of the function g(x) = |r| on the interval |-7, 7| is s(-) -- 1 cos…

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Q: 2. lim f(x) = x²– 4x +4 х 2 Use the domain [-9,6] to draw the graph. X X -2

A: Firstly, See the graph of (x² -4x +4)/(x-2) , -9≤x≤6

Q: d Prove that x" Jn (x)] = x" Jn – 1 (x) %3D dx

A: prove

Q: Calculate the future value of an ordinary annuity consisting of semi-annually payments of $1,400 for…

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Q: Find the Laplace Transform of the following functions 1) f(t)=tcos(@t) 2) f(t)=t sin(@t) 3) f(t)=t…

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Q: (12) Let p, q and r be the propositions p: I will pass in Discrete Mathematics module q: I study and…

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Q: Find the solution to the system 2х —8y + 5z %3D-5 2х+ у—z%3D12 -5x+3y+9z=-17 .using (a)Jacobi…

A: Given equations  2x-8y+5z=-52x+y-z=12-5x+3y+9z=-17 We have to us¡ng (a) Jacobi lterative Method and…

Q: Problems 1. Use the Bisection Method to solve for one real root of sin a 2 =0 on the interval…

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Q: Prove that + J2 (x) + J, (x) = 0

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Q: Consider the vector field F (x+ y)i + (x² + y²)j What is the downward flux across the line segment…

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Q: y-HY + 3Y=0

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Q: the polynomials t3+ t² + 1, t? – t + 2, t3 + 2, -t³ +t? – 5t + 2 span P3

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Q: Find the absolute maximum and minimum of the function f(x,y) = 7y? + 64x – 3 over the closed region…

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Q: 15 S(+ 15e15x – 15x-1 + 15n) dx. x-14

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Q: Write an equation for the graph below in terms of x 5- 4- 2- -3 -2 -1 2 3 -3 -4 -5 y =

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Q: (8) For each situation, solve whether collusion is sustainable using "trigger strategy" (infinitely…

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Q: Solve the area under the given curve using (a) Trapeziodal Rule (b) Simpsons' 1/3 rule. dx ; n = 10

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Q: Find the inverse laplace of (2s-1) F (s) s2 –6s+18

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Q: 4. Let F(n) = 2F(n – 1) + 5F(n – 2) – 6F(n – 3) with initial conditions F(0) = 4, F(1) = -4 and F(2)…

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Q: Find the gemeral solution 9 the given Gystem 1 (4) li dx at 을x + 2y dy dt (^) x'= (;" ) × 10 () x'-…

A: Since the eigen values of the associated matrices are real and distinct so the solution is given by:…

Q: 6. (The fractional residue theorem) Show that sin(ar) L r(r² + 1) tz = 5(1 – e~“), a>0. iaz [Hint:…

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Q: Suppose that we have a graph with at least two vertices. Show that it is not possible that all…

A: Let G be a graph with n vertices. Here , n ≥ 2. We need to show that , it is not possible that all…