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Q: 2 -u²+1 du

A: Here we have to find the value of the integral : ∫1-u2+1 du

Q: dm dx Prove that: — m „¸a- '2F₁(a,b;c;x)]=(a)_xª−¹ ₂F₁(a+m,b;c;x)

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Q: S is the lower portion of the sphere x2 + y2 + z2 = 25 cut by the cone z = √√√x² +

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Q: Find Singular Value Decomposition of A = 322 2 3

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Q: Write the equation in logarithmic form. 10³ = 1000 Ⓒlog 1000 = 3 Ⓒlog 3 = 10 1000 = log 3

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Q: 2. Find GCD and LCM of 162 using Prime Factorization. 256 and 3. Find GCD and LCM of 10! 103 using…

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Q: 1. DETAILS Consider the given function and the given interval. f(x) = 2.r (1+x2)2 [0, 2] (a) Find…

A: The given function is f(x)=2x1+x22, and the interval is 0,2. (a) To Find: Average value of the…

Q: Determine whether the following series converge. Justify your answer. 29 29 29 29 2.3 4.5 6.7 8.9 +…

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Q: Consider the following differential equation. (2x - 1) dx + (7y + 4) dy = 0 Let M = 2x - 1 and N =…

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Q: 5Q. Laplace transform of the following functions: sin 2t t (b) f(t) = 7t²e-3t (a) f(t) =

A: I will solve part(a) and part(b) in MATLAB. Please you repost part(c).

Q: Compute the flux of the vector field (x², – xy³), out of the rectangle with vertices (0,0), (3,0),…

A: We have to compute the flux of the vector field  <x2,-xy5>out of the rectangle with vertices…

Q: The variables x and y have an exponential relationship, one of the form y = Suppose that we also…

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Q: Use Green's Theorem to evaluate: L.F. F. ds where F (√x + 3y, 2x + 3y) and C is the boundary of the…

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Q: A spring with a mass of 2 kg has damping constant 14, and a force of 6 N is required to keep the…

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Q: Let A be a 3 x 3 matrix, whose LU decomposition is partly known: 6 0 07 L = ¹2,1 6 0 13,1 13,2 3 1…

A: A lower triangular matrix is a square matrix such that aij=0 for all i<j and an upper triangular…

Q: 3. Supply the missing integrand and limits of integration. 5 (a) [ [² 62²y dady = 2 /2 (b) [₁" ["²…

A: Here the double integration is given. If the double integration is separable then saperately…

Q: If A = [9 5 then det(A) Thus, - 1 A-¹ 0-2 = - 3 = and det (A-¹) = Check Answer " is Select an answer…

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Q: Inverse Laplace Transform (PFE) Find the partial fraction expansion of the following expression Take…

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Q: Suppose the vector field v(x, y, z) = (2x − 1) i+ (−x − 3)j + (2z − 1) k represents the velocity…

A: The given problem is to find the circulation of the given vector field over the region C is the…

Q: first three terms of the sequence 1/16, a, b, 1/6 a cometric series and last three terms are in…

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Q: Be V a vector space over IR, {e, S < V, dim S < dim V (m < n). em} and show Σ(ve)e, =Σ(ve)e wer j=1…

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Q: m = 0 (²) 2 \m 2m X

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Q: • 2π 1²T 0 cos 2t 17 - 8 cost dt

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Q: Suppose that 10 x (16 + x) = Σ Cnxh n=o Find Coefficients: Co= C₁ = C2= C3= C4 = Radiance of…

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Q: Consider the partial differential equation t-te=0. Trying to solve this differential equation with…

A: ux-ut=0u=XxTt

Q: https://www.bartleby.com/questions-and-answers/bif-x-is-so-small-that-its-fourth-and-higher-powers-m…

A: Using Taylor's expansion about origin

Q: Question 5. (a) Find a vector function that describes the curve of intersection of the cylinder x² +…

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Q: 4. Find MacLaurin's series (i) using the known function series (see slide 30 from the Lecture Notes…

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Q: Let Note: M = Find formulas for the entries of M", where n is a positive integer. (Your formulas…

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Q: 0.7 y(t) = 0.11 cos 7.6t+ sin 7.6t+ 0.17 7.6 y (1) = 0.11 cos 7.6t+ y(t) = 0.11 cos 7.6t+ y(t) =…

A: A graph is used to plot the equation as a pictorial representation. By the graph, it is easy to…

Q: An electromotive force E(t) [240, 0≤t≤ 50 {o, t> 50 is applied to an LR-series circuit in which the…

A: Given Data: Let us consider the given data:  L=40 H,  R=4ΩEt=240 V,  0≤t≤500,         t&gt;50 To…

Q: A mining company has two mines. One day's operation at mine #1 produces ore that contains 40 metric…

A: When a scalar is multiplied to a matrix, it is multiplied to each entry of the matrix. A system of…

Q: Use Green's Theorem to evaluate: C F . dr = where F = (√x + 4y, 3x + 4y) and C is the boundary of…

A: Solution :-

Q: 3. The victims of a certain disease are classified into three states: cured, dead from the disease,…

A: As per the rule of Bartleby we can answer 3 subparts at a time, please repost other subparts…

Q: Solve and show the complete solution. 5. A column is composed of a regular octagonal prism…

A: Given column made of a regular octagonal prism and a regular pyramid. The base of the pyramid…

Q: If m is a positive integer and x > 1, then show that 1-4¹ (-1)" xm+1 m! 2 F₁ m+1 m+2 2 2 dxm

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Q: . Determine whether or not x³ + 2x + 1 and x4 + 3x - 2 are congruent mod (x² + 2x + 2) in Q[x].

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Q: 4. A spring with a mass of 3 kg has damping constant 30 and spring constant 123. (a) Find the…

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Q: f(x) = x² + 2x - 8

A: The given function is, fx=x2+2x-8. (A) rational function g(x) that is opposite of the given…

Q: -t 3 denote the centre of a group G. then show that 1 € 3 iff N(a) = 6. so show that if G is finite,…

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Q: y'=x²y², y(¹)=1 a) Calculate the Euler method approximations to the solution to the initial value…

A: The given differential equation is y'(x)=x2y2 with the initial condition y(1) =1. Here, f(x, y) =…

Q: If an earthquake is 700 times as intense as a 0-level earthquake, what is the Richter scale ranking…

A: Given that the earthquake is 700 times more intense than the  as zero level earth quake

Q: 5) (using Euler's Criterion (Assume g is a primitive root modulo p where p is an odd prime.)

A: As given in the hint we use the Euler's criterion and the definition of primitive root for solving…

Q: M(x) = F. ve that if Fis finite, xeZif and only if oM(x)) = = o(

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Q: 3. A spring with a mass of 2 kg has damping constant 14, and a force of 6 N is required to keep the…

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Q: Problem 4. Suppose U is a subspace of V such that V/U is finite dimensional. Prove that Ux (V/U) is…

A: Given: U is a subspace of V such that V/U is finite-dimensional. We have to prove that U×V/U is…

Q: -0.625x + y y' = -x -0.625y X =

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Q: Elas woke up in the middle of the night and, due to a power cut, it was very dark in his apartment…

A: It is given that the large box contains 11 blue pencils, 14 black pencils and 8 grey pencils. Elias…

Q: Let Answer: √5 u= a. Find the area of the parallelogram formed by u and v. 0 Answer: 0 b. Find the…

A: Given: u=1-10-10, v=1-100-1, w=01-111, x=1-11-1-1To find: a) Area of the parallelogram formed by u…

Q: 7) y = 1 2 sin (20 + 150) - 1 60 120° 180° 240° 300° 360 8) y = 4sin 4sin (+45)+1 A 180° 360° 540°…

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