・ Rephrase the initial value problems as integral equations yzyte, yco) 21 2 * x²= t-2² (0)=0 1 2

Q: A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22…

A: Let us use LU Factorization or Decomposition using Gaussian Eliminations to determine the unknowns…

Q: s(t) c) Yp = Asin(2t) + Bcos (2t) d) yp b) yp= Atsin(t) + Atsin(2t) + Btcos(2t)] Q13) The general…

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Q: (a) Define a metric space (X, p). (b) Let p: R+ → R+ be a function defined by ln (2). Prove that p…

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Q: (s+2)2+16 25² +18 (S-2)2+16 2s2+18 Q18) Combine the following power series expressions into a single…

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Q: b) ta 1 -atsinst Q23) 1 = a) (5-3)2+25/ 5 024) The general solution for y' = 6y²x, is: b) est sin3t…

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Q: [Acos(5x) + Bsin(5x)] Q16) Combine the following power series expressions into a single power…

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Q: II. Consider the parabola C: 2-4 = -(x - 2)² on the xz-plane. 1. Find the center-radius form of the…

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Q: 3 Find the area of the region bounded by 2x = y²+1 and the y-axis using the horizontal strip.

A: 2x = 3y2+ 1 Consider a horizontal strip at a distance y from x-axis of thickness dy.

Q: Use Taylor's Theorem to find an interval [−z,z][-z,z] where the Maclaurin polynomial p3(x)=x−x^3/6…

A: Taylor's Theorem: Let f has a Taylor polynomial of degree n expansion around x=c, then the remainder…

Q: A. Given the set of equations below, 17x+6y+4z+5t=17 8x+22y+2z+4t=20 6x+3y+17z+7t=11 3x+4y+7z+19t=22…

A: Since you have posted a multiple question according to guildlines I will solve first (Q1)question…

Q: Show that the differential equation x²y³ + x(1 + y²)y' = 0 is not exact, but becomes exact when…

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Q: What is the limit as n goes to infinity of the power series (log n)2 ?

A: The given problem is to find the limit of n goes to infinity of the power series of the function…

Q: A new flag pole for a school campus measured 25 2/3 feet. It was put 4 1/2 feet into the ground and…

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Q: A souvenir store wishes to produce two models of souvenirs: model A and model B. Every model-A…

A: Max Z  = 14x1 + 23x2 Subject to: 3x1 + 5x2 ⩽ 270  6x1 + 4x2 ⩽ 360 and x1, x2 ⩾ 0 On adding slack…

Q: 10. Find the equation of the circle that has a center at (3, 3) and is tangent to the y- axis? a.…

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Q: ao + a₁(x- Q15) Given that y₁ (t) a) t b) t 016) 6-16 1 21 31 41 51 d)y(x) 21 31 41 51 = t is…

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Q: 8. Consider the equation f(x) = 4sin (x++3. a) Determine the key properties of sinusoidal functions.…

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Q: Give example T2 space but not T3 Space

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Q: in fuzzy graph What is the fuzzy cutvertex ? And give an examples

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Q: If n₁n₂ X n3 = 0, then: ● There is a single point of intersection There may or may not be points of…

A: To find- If n⇀1∙n⇀2×n⇀3 = 0, then: There is a single point of intersection There may or may not be…

Q: 2. Let P:=-<-<0<, be a partition of [-], and (sin(2r), 0≤x≤fi f(x)=sin(2x), -*<0; (cos(2x) -1<x<-

A: The information of your question is complete, though, you have nowhere mentioned what exactly you…

Q: V. Consider the lines : = 2z 6 and m: x=-1+ 10t, y = 7t, z = 2+t. 5 1. Determine if & and m are…

A: We have to check whether given line l And m are intersecting,  parallel or skew.

Q: 25.2. Find the Laurent series for the function 1/[z(z-1)] in the follow- ing domains: (a). 0</z<1,…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: fuzzy graph

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Q: Determine the directional derivative of X²Yz +4XZ² at the point P(1,-2,1) in direction a=2û - j +² R…

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Q: (d) Determine the right cosets of ((1 2), [1]) € S3 x Z2.

A: I just used the definition  of cosets

Q: Q2:(a) In Euclidean metric space (R, 1. 1),if A = {y € R: y = 2 cos (2x); x € R} then fined the…

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Q: in fuzzy graph What is the connectivity in fuzzy graph And give an examples

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Q: π containing both lines and m. o both and a normal vector of . Using do ㅠ. adicular to any normal…

A: The symmetric equation of l is x+15=y72=z-312 From the symmetric equation of l, we see that a…

Q: An airplane is travelling at 620 km/h on a heading of 305°. The wind of 80 km/h is flowing from a…

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Q: Consider the following linear programming problem: Max 3A + 3B S.A. 2A + 4B ≤ 12 6A + 4B = 24 A, B≥…

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Q: 9: Check Euler's Theorem for the Function

A: We checked Euler's theorem for function.

Q: (c) Suppose that G = (a), a e, and a5 = e. Construct a Cayley table for the group (G,.). CIG [11

A: We shall answer first question only as you have asked more than one different question. For others…

Q: Find a plane containing the point (-4,4,2) and the line of intersection of the planes -3x + 8y + 2z…

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Q: Find the general solution of the given differential equation. y' + 3x²y = x² y(x) = Give the largest…

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Q: √3 arctan(x) 1+x² (A) (B) 1 (C) T (D) (E) 18 dx = 7:33 PM

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Q: The series If lim an = 1/π, then an diverges. np will diverge only when p € [−1,1].

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Q: 1. Find the coordinates of all points on C where the tangent line is horizontal. 2. Set up the…

A: This is the question of the application of Differential Calculus.

Q: a) yp (t c) yp (t) = A cos(2t) + B sin(2t) d) y(t) = A cos(t) + B sin(t) Q21) One of the following…

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Q: Q20) The singular point (s) of (x + 1) y' + x²y = 0, is (are): a) 0,1 d)-1 b) 0,-1 c) 0

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Q: ã = (–3, −5) and 7 = (1,4). Represent a + b using the parallelogram method.

A: Use parallelogram method of vector addition.

Q: Prove with complete and neat solutions 1. Let H be a proper subgroup of G such that Vx, y ≤ G - H,…

A: As per our guidelines we are supposed to answer only first question. Kindly repost other parts in…

Q: The nonlinear equation x² + x³ − 1 = 0 has a solution z € [0.8; 1.0]. Choose an initial…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to approximate the root of the equation:…

Q: Example: Test the following series converges. a. { In ( n + 12 ) n+2 M=1 or not

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Q: Solve for x. X= (Round to the nearest hundredth.) 45 C B

A: Let us consider a right angle triangle  sinC=ABACcosC=BCACtanC=ABBC

Q: Dest Sourcest L 2 3 4 Demand 1 5 15 3 7 2 10 2 5 کا 3 15 O 4 2 O Supply 20 Lo 15 15 using Vogel's…

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Q: Determine the interval of convergence of Σ n=1 (x - 3)" 2T + 1

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Q: 12 Compute for the sum. Answer directly. (2 Points) Enter your answer 8 Σ (3-2) j=0

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Q: 5. Let set A consist of an apple, an orange and a pear. Let set B consist of an apple and a banana.…

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Q: Use the concept that y = c, -∞ < x < ∞, is a constant function if and only if y'= 0 to determine…

A: Given, Differential Equation is 4xy'+2y=8. The Constant Solution of this differential equation is to…