Detemine the possible root of f (a) = 7esinx 1 using Newton's method. Use an initial guess of xo = 0.90 with dk < 0.001.

Q: Through the point (2, -4, 0) and parallel to each of the planes 2x + y -z = 0 and x+ 5y + 3z = 0.

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Q: Find the distance between the skew lines: x = 8+6t, y = 5+ 9t, z = 7 – 5t y = 9, I = 6 – t, z = 2+…

A: Given, x=8+6t, y=5+9t, z=7-5tx=6-t, y=9, z=2+4t To find: Distance between the two given skew lines

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: Find the determinant of the matrix by (a) minors and cofactors and (b) reducing the matrix to a…

A: We have to find the determinate .

Q: I. Find the values of x1, x2, x3 in the system of Linear Equations 2.x, – 6x2 – x3 = -38 | -3x, – Xz…

A: The given system of Linear equations are  2x1-6x2-x3=-38-3x1-x2+7x3=-34-8x1+x2-2x3=-20 To solve…

Q: Determine if the two vectors are parallel, orthogonal, or neither. Show your proof a) A = and B =…

A: We have to determine that the given vectors are parallel , orthogonal , or neither.          (a) A→…

Q: Evaluate the triple integral In(1+ Vr2 + y? +z?)dzdydr.

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Q: Arg (zz) = 0, whenever :+ 0

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Q: Evaluate ydA R where R is the region bounded above by the line y 3, on the right by the circle (x -…

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Q: Given matrices a and B, if AB = 0, then either A = O or B = O. O True O False If A and B are…

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Q: Use the given transformation to evaluate the integral. | 5x2 dA, where R is the region bounded by…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Make two separate plots of the function f(x)=0.6x-5x +9x+2; one plot for -4 sxS4, and one for…

A: The given function is fx=0.6x5-5x3+9x+2.

Q: Factorial Is n! same as n+1? If I have n+1 in an equation, can I put n! instead?

A: Since n! = n (n-1)! e.g:- Let n=3  Then n+1 = 4 but n! = n(n-1)! Then 3! = 3×2×1 =6

Q: 2. Use the Mean Value Theorem to show that f(r) = 2r sinh(r – 1) +2" – r %3D has a critical number…

A: The given function is: f(x)=2xsinh(x-1)+2x-x. To show: f(x) has a critical point between 0 and 1.

Q: 5. (41) Answer: Show your work or explain your reasoning here:

A: The solution is given as

Q: Identify the extrema (both minimum and maximum) of the given graphs below. If there is no extrema,…

A: We need to identify extremum in all the given graphs. As per policy, we are solving only the first…

Q: dx 1+x4 as a power series centered at 0. Write out the first four nonzero terms (not counting the…

A: This is the question from Taylor's expansion with Maclaurin's form and Numerical Integration.

Q: Evaluate [[. (y+210 – = )aS, where S is the surface cut from the paraboloid y² +4z = 36 by the…

A: Surface integral of a function f(x,y,z) on a surface S given by z=g(x,y) ∫∫Sf(x,y,z)dS = ∫∫Df(x,y,…

Q: Using Gauss-Seidel Method, obtain the solution to the system; x1 + 5x2 + 3x3 = 30 %3D 3x1 + 7x2 +…

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Q: G = (R, +), H = {a+bv2: a,b € Z}

A: Given G = (R, +), H = {a+b√2 : a, b∈Z}. We check whether H is a subgroup of G.

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: 2. The 3 x 3 matrices A and B are defined in terms of a scalar constant k by 2 + m] [k k 9. [1+m -3…

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Q: 2. The figure below represents the set X = (R – {0}) U {A, B} where A and B are two points not on…

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Q: 1. Consider e" for all x E R. n! n=0 a. Determine the power series representation of f(x) = xe-5x…

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Q: 0- Draw a sketch of the Plane of 4x-tyt22-9=0

A: Solution

Q: Г16 If n is a positive integer, then 4 36 is -16 [16 (Hint: Diagonalize the matrix 4 36 first. Note…

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Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at x = a for f(x) = 22 sin (x), a =…

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Q: 1. Write down the first six terms of the Fibonacci sequence defined by Fn= Fn-1+ Fn-2, when F1=0and…

A: This question related to fibonacci sequence and pascal's triangle. Solution is given below.

Q: What is the simplified form of the complex mumber А. 1 C. 8+ 6v3i D.-10-i В.

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Q: Q1: Use two iterations of G-S method to solve the linear system. 10x + y+ z = 15.4 2x + 7y + z =…

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Q: for 0 <x < 4, 4 - x Let f(x) = {0 for 4 < x < 5. Compute the Fourier cosine coefficients for f(x).…

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Q: 1-10i Q2. If complex number z satisfies the equation: _2z – 57 = 3 – i where z denotes the complex…

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Q: Consider a rectangular plate with width w and hight h. If the temperature at all edges are kept to…

A: Hi! As per norms, we will be answering only the first question. If you need an answer to others,…

Q: If X is a metric space with induced topology Ƭ, then (X,Ƭ) is Hausdorff. The contrapositive of this…

A: Given : (1) (ℝ, T) with the topology induced by taxicab metric.              (2) (ℝ, T) with the…

Q: Q3: Approximate the integral using the trapezoid rule with 5 partitions. cos x xp: Vx2 +1 Use n =…

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Q: (b) For the following Homogencous Lincar System of DE, what are the eigen values, corresponding…

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Q: Let f: Df →R be defined by f(x) = r+1, and let g : D, R be defined by g(x) = x -1, where D; and D,…

A: As per the policy, we are solving only 3 subparts of this question. Please repost and specify which…

Q: Construct the LP model then solve. Show complete, neat andorderly solution. Use the space provide…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: Use Lagrange multipliers to find a vector in 3-space whose length is 6/3 and whose components have…

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Q: 3. Suppose the following figures are drawn on lem dot paper. What are the areas and perimeters?…

A: To find the area and perimeters of the following figure :-

Q: Obtain the general solution of each of the following equations in terms of Bessel functions: а.) ху"…

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Q: Transform the following equations into a system of first order equations. t²u" + tư' + (t2 – 0.25)u…

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Q: a subspace of V? Assume that V has the standard operations. W is the set of all functions that are…

A: Subspace of a vector space

Q: that if all the components of a tensor in one co ordinate system are zero

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Q: Using Jacobi Method, obtain the solution to the system; X1 + 5x2 + 3x3 = 30 3x1 + 7x2 + 13x3 = 80…

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Q: Solue the Follbwing System of equations using Goussian Eliomination: t 2y - 62 - + 7y + 4y -3X - 52…

A: Given Equations: -3x+2y-6z=65x+7y-5z=6x+4y-2z=8 To Find: Values of x, y and z using Gaussian…

Q: Question 6: Solve using the state-transition matrix, the state vector x(t) and the output y(t) -2…

A: Given X˙=-200-6 Xty=13XX0=10

Q: Suppose that the coefficients of the power series E an(x – c)" n=0 satisfy |an+1] lim = L. n→∞ an…

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Q: 4х - 6 2. Let f(x) 1- (2х-3)3" a. Find the Taylor series representation for f about x = 1.5 that is…

A: Fourth degree Taylor's polynomial contains the heighest power of x is 4.