Question 4: Linearize * + 2x + 2x2- 12x + 10 = 0. Around its equilibrium position

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Q: 38. Let 2 = R0, the space of all sequences of the form w = (x1, x2, ...) (**) %3! where x; e R. Let…

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Q: rule with n=

A: The given integral is ∫-171x+2dx here n =7 ∫abf(x)dx=b-a2nf(x0)+2f(x1)+2f(x2)+...2f(xn-1)+f(xn)…

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Q: -c+d = 0 3+c-3d = -3c d = ( +

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Q: proufie nz< z 2.

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Q: A second-order non-homogeneous differential equation is given by d2y/dx2 − 10 dy/dx + 21? = 21x2 +…

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Q: 1+Sinx-Cos %3D 1+Sinx+ COSK 1+ Sinx+Cessx %3D 1+Sinx-CosX Ni = 2.5 Newtons methaw

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Q: 2a +b-c+d = 1 За - 2b + 2с-3d %3D2 2a - b+c- 3d = 4 5а +b-с+ 2d %3D-1

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Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to appro…

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Q: Sketch the region of integration and change the order of integration. T/2 cos x f(x, y) dy dx

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Q: A graph G has 105 vertices of which there are 13 vertices of degree 3, 33 vertices of degree 5 and…

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Q: (f) The solution of the following problem: Utt = Urx) 0 0, u(0, t) = 1, u(1, t) = 0, t2 0, u(x, 0)…

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Q: A cylinder vessel filled with water with a 2m diameter and 5m high. It was rotated with uniform…

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Q: . Eight systems of different differential equations and four direction fields are given below.…

A: We can solve this using given information

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Q: B) Find for the folawing fumetion 2. 3.

A: The given function is:  w=x2+y2+z2,    ysinz+zsinx=0. To Find: ∂w∂yx, ∂w∂zx, ∂w∂zy.

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A: Here given equation as r=3-2ti+6t j write it in component form r=3-2t, 6t

Q: Find the inverse Laplace transform of the following functions: (a) F(s) = 38+6 %3D s2+3s' (b) F(s) =…

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Q: Indicate whether the series (-1)" n2 +1 n=1 Converges absolutely O Converges conditionally O…

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Q: prove the parallelogramequlity:

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Q: Q1 Table below contains dataset of a robotic arm during a force measurement on a thigh phantom.…

A: given data  Time(s) 10.5 13.1 15.2 Force(N) 9.27 11.90 13.83 (A) lagrange interpolating…

Q: 26 8. Find the indicated term of each harmonic sequence. 1 1 1 1 a. 5'8' 11' 14' 10th term .... 1 1…

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Q: Find solutions of the following equations b 4. 22+ af af 5. у- af = 0 = 0 dt dy

A: We will use method of  characteristics to solve the 1st order given differential equation

Q: ulaté the integral: I = (x + 2y) dædy where the region R is defined as: R = {(x, y) E R² :0 <x < 2,…

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Q: Let A and B he two matrices of size 3 x 3 such that det(4) = 2 and det(B) = 3. Then det(38" A") = О…

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Q: circle y = V9- x and 9 - x anc eral triangles.

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Q: Let (R, O, O is a ring under two composion e and O as follows ü e i = a + b + 1 and aOb = ab + a + b…

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Q: 5. Consider the tables of values for the two functions shown. _y =f(x) y = g(x) -27 -2 9. -1 4 -8 1…

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Q: 2. Solve the following homogenous differential equation UTM dy dr - (2² + 3y°) . UTM UTM

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Q: 1. For the set of all integer numbers Z one defines a relation R on Z as R = {(a, b)|a - b- 2 is…

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Q: Using the Alternating Series Remainder Theorem, determine the number of terms N required to…

A: From the given series  an=1/(n^4) we have to find the approximate error  within 10^(-9).

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Q: Use the substitution z = xy, where z is a function of a, to solve the following differential…

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Q: Question A7 Calculate the flux of the vector field F = (0, z, y) through the surface E: x = 2u?v? E:…

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Q: Determine the inverse Laplace transform for the following. s – 1 2s2 + s + 6

A: HERE WE USE SOME FRACTIONS AND BASIC OF LAPLACE TRANSFORMATION

Q: Graph each polynomial function. w lemovlo a. P(x)= x(x² – 1) b. P(x) =x- 6 c. P(x) =x - 10x² + 6

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Q: 3. Consider a set of numbers B = {n E Z|1<n< 900} Answer the following questions. (a) How many…

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Q: -Zくtく-! -1< く ぐく2 3). fa) = 24

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Q: 1. Write the first five terms of the sequence defined by each equation. t = 4n b. t=3n-7 а. c. t=(n+…

A: Substitute the first five natural numbers for n in the given sequences to obtain the first five…