L₁ (2x - e²x)² dx
Q: x²³dx + ydy fr อ
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Q: 4) To find the root of the equation x²-3 = 0 using the fixed point method in [1,2], one of the…
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Q: Let C be a fixed nonzero complex number and note that i is a multiple valued, what restriction must…
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Q: 2) (D² +6D+91)y= 16e-3x x² +1
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Q: Prove by mathematical induction that for any integer n>0, 1 3 X4 X5 + 2 4x5x6 + + n = (n + 2)(n+3)(n…
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Q: Find a quadratic equation whose product of roots x₁ and X2 equal to 4 and satisfying the relation X₁…
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Q: A mass of 1 slug stretches a spring 2ft and comes to rest at equilibrium. The system is attached to…
A: Given: 1 slug mass stretches a spring 2ft and comes to rest at equlibrium. Damping force equal to 8…
Q: Solve for Inverse Laplace s+ 2 F(s)=- s² (s²+1) 5² +3
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Q: ای )porve ereco if: er f= 3² szt.dt de
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Q: ا = (porve ere(o if : erf=3√² =²². st
A: To prove that erf∞=1. If erfx=2π∫0xe-t2dt.
Q: 1) When using the Newton-Raphson method to solve the equation cos(ax) = x,this is done one of the…
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Q: i wonder how to solve this system of 1st linear non- homogeneous ODE. like using the y=yh+yp and…
A: Given the system of 1st linear non-homogenous ODE, y1,y2,=-11-10y1y2+0.5sint0.5sint…
Q: Let a, b, and c be real numbers such that a + 2b + c = 4. Find the maximum value of (ab + bc + ca).
A: Introduction: In the number system, real numbers are only the fusion of rational and irrational…
Q: 2. Use the tables to find the inverse z transforms of the following e. 2z 2z-1 f. 3z 3z +1 g. Z N
A: Solving the given equations for inverse Z transform using given table
Q: The given graph is strongly connected. b True or False True False
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Q: This problem deals with a mass m, initially at rest at the origin, that receives an impulse p at…
A: Here we have given that a mass m, initially at rest at the origin, that receives an impulse p at…
Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…
A: Sol:- Total Equations are 35x+y-0z=7 0x+5y+z=13 x-0y+5z=16From the above…
Q: Example 1: Determine the maximum or minimum of the equation y=-4x² +24x - 35
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Q: The commutator is: Find the commutators if: (a) A = D² and  = x²* (b) A = D and B = x * D [A, B] =…
A: note : As per the standard notations of operator theory, we will treat the operator "D" as a…
Q: Por ve exfloo) =1 if: er f= 3 =²² st Set
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Q: Solve the system 1 2 3 4 || +s 1 1 +x2 2 +X3 3 +4 +4 || = || ܒ ܝܕ ܚܘ -3
A: The given system of linear equation x1+x2…
Q: If [x² - 2x + a] = 0 has no solution, then find the values of a
A: We have x2-2x+a=0⇒x2-2x+a∈[0, 1) Given that equation has no solution ⇒x2-2x+a∉[0, 1)
Q: Let a, b, and c be real numbers such that a + 2b + c = 4. Find the maximum value of (ab + bc + ca).
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Q: If the sum of the roots of the equation 1/(x+ a) + 1/(x + b) = 1/c is zero, then prove that the…
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Q: Q2) Solve the BVP utt = Uxx ux (0, t) = 0 u(x,0) = 0,_u₂(x,0) = f(x) = {100 00 01
A: Given: utt=uxx 0<x<∞, t>0 ux (0,t) = 0 u(x,0)=0 ut (x,0) = f(x) =1000<x<10…
Q: This question has several parts that must be completed sequentially. If you skip a part of the…
A: In this exercise we have to create distant function but all the value is constant so we use the…
Q: 1) Given is a vector A. In Cartesian coordinates it is given by A = x + 2y + 32 (0.1) Now we…
A: Given: The vector in the cartesian coordinate is given by, A=x^+2y^+3z^…
Q: 3) The solution of the system by Gramer's method x + 2y + 3z = 6 2x + 3y + 3z = 8 5x + 2y + 2z=9 Is…
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Q: A cylindrical container has a volume of 150 cubic inches. The radius r of the container can be found…
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Q: The following problem deals with the open three-tank system. Fresh water flows into tank 1; mixed…
A: Given: Open three tank system Water flows from tank 1. Mixed brine flows from tank 1 to tank 2, tank…
Q: 4. Find an equation of the line passing through the points (use syms x y). a.) (-2,-5) and (1, -3)…
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Q: Let x₁, x₂ are the roots of the quadratic equation x² + a where a, b are complex numbers and y₁, y2…
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Q: Use the tables to find the inverse z transforms of the following b. N Z-3 C. w 2z Z+5 d. w 3z Z-2
A: Here 1st we will standardize expression and then use given table to find inverse z-transformation
Q: 1. Use the tables to find the z transforms of the following m. cos(nπ/2) n. (-2) o. -(2)
A: m). since Z[cosα n=z(z-cosα)1-2zcosα+z2 now Z[cosnπ2] = z(z-cosπ2)1-2zcosπ2+z2=z21+z2
Q: Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)
A: j. since Z[an]=zz-a now Z[2n]=zz-2
Q: 27. Exclusive Or How is the addition rule changed if the exclusive or is used instead of the…
A: Exclusive or means that the two events, let say, A,B have nothing in common. That is, the occurrence…
Q: Q 21 Choose the 5 when using the New tan-Raphson Me the The equestion cas (azot this is dan (ax)=x
A: The formula for the Newton Raphson method is xn+1=xn-fxnf'xn. We need to find the root of cosax=x…
Q: 4 Let f: RR be given by f(x, y, z)= y sin(5x) + e¹² + ln z What is the gradient? Answer: Vƒ(x, y, z)…
A: In this question, the concept of the gradient is applied. Gradient A line's slope or gradient is a…
Q: If ab + bc+ca=0, then solve a(b-2c)x² + b(c-2a)x+c (a-2b) = 0
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Q: Salmonella bacteria, found on almost all chicken and eggs, grow rapidly in a nice warm place. If…
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Q: Prove that the distance of the roots of the equation sin 0₁ 2³ + sin 0₂2² + sin 031 z + sin 041 = 3…
A: Given equation is |sinθ1|z3+|sinθ2|z2+|sinθ3|z+|sinθ4|=3 Prove That : The distance of the roots of…
Q: Q2: Let T₁, T₂, be the following bounded linear operators ¹ → T₁(x₁, x₂. x3,) = (x₁, X₁, X₁, X₁,…
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Q: f'(x) = = = = lim h→0 = lim f(x + h) = f(x) h→0 h - h lim h→0 . Ax + Ah - Ax > h lim h→0 h h…
A: We will show more steps to make it easier to understand
Q: 2. Find the general solution to y': 3. Solve y dx - x dy = 0 as an exact differential equation, i.e.…
A: As Per Bartleby Answering Guidelines We Solve Only First One Problem Solution - 2 : Given that…
Q: Use the tables to find the z transforms of the following d. e³n e. cos 3h f. sin4n
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Q: Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent line.
A: Solution : Given that y=x3+x and The slope is equal to 4 i.e m= dydx=4
Q: ای )porve ereco if : er f = ²/ Set ². st
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Q: Q5/ Maximize f(x₁, x₂) = x₁ + x2 by use of simplex method and it subject to: X₁ + 2x₂ ≤ 10 2x₁ + x₂…
A: The given problem is to solve the linear programming problem of maximum with given constraints by…
Q: If p(q=r) prove that x +q{r-p}x+p-q) = 0 has equal roots, ther 211 q = р
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Q: You own a motel with 30 rooms and have a pricing structure that encourages rentals of rooms in…
A: a) Charge on a single room is $75 If two rooms rent, then cost is $73 If three rooms rent then cost…
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