x = x2 - 4x1 + 4x3 x2 = -3x2 - 4 V3x1 +gX3 x = 7x2 – 2x1 Find the eigenvalues and eigenvectors by using the above equations.

Q: Show that a is an eigenvalue of A and find one eigenvector v corresponding to this eigenvalue. 2 A 4…

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Q: Suppose the Maclaurin series f(r) is f(x) 1". =0

A: (1)  Given: f(x) = ∑n=0∞35nxn

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A: Solution :-

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A: The area of the circle can be approximated cutting into wedges and making a roughly quadrilateral…

Q: 3. C = cosh-1{sin¬1[tan log (3 – j8)]}

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Q: 16. A matrix type where: A matrix with all elements equal to zero Identity matrix Zero/Null Matrix…

A: We find the matrix type where: A matrix with all elements equal to zero.

Q: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3. (b) Construct a…

A: 3. (a) Construct a graph with six vertices and degree sequence 1, 1, 2, 2, 3, 3.   (b) Construct a…

Q: Use the following methods to solve for the root of the equation f (x) = xe* – sin?x

A: The False Position (also known as Regula Falsi) method uses the formula:…

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A: The solution is given below

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Solution:-

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A: A first order differential equation is called linear differential equation if it can be written in…

Q: For the differential equation (x – 4)y" + (x– 2)y' + 2y = 0, the singular points are: O None of them…

A: Here we use the basic definitions of singular point

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Q: *Use the following graphs to answer the next question* Graph 1 Graph 2 Graph 3 Graph 4 NR4. Follow…

A: The graph of the function are  y=ax,a>1 y=ax,0<a<1 y=logax,a>1…

Q: A stone is thrown vertically into the air from a tower 30 m high with initial velocity 15 m/s.…

A: We have to find the total hight and total time  to throwing  stone come back to ground.

Q: Solve the following differential equation y'" +2y'+y= x-1 Select one: -2x + x-3 O a. YG.S= C,e+c2e'…

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A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

Q: (7) Graph the following equations. Label vertical asymptotes. Eind the period. You must graph at…

A: Note: We are entitled to solve only one question at a time and up to 3 sub-parts only. As the…

Q: Solve for F(s): 01

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Q: A 2-4 284-6 0 23 05 0 -5 6. 5. 2. 12 4-1 6. -9 15 L3 4 -58 a) find basis for col(A) Find basis for…

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Q: (x-3)² - 4)² 1) =D1 16 196 (x + 1)² (y- 8)². 3) 3D1 9. 81 (x- 2)² ? 5) 1 36 81 |3|

A: Solution

Q: By fixed-Point Iteration, evaluate f(x)=x² -x-e*starting at x1 = 0.

A: Solution:-

Q: 6" +3 2 (-1)"-1b, where b= n=1 (n+ 3) 9"+4 a) Find and simplify bn+1 bn b) Test the given series for…

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Q: Use integration by substitution or integration by parts as appropriate to evaluate Axsin (Bx) dx…

A: We are given A=3 and B=3 now putting the values in integral it becomes ∫0π23xsin(3x) dx first we…

Q: [5 2 0 similar to B; if no, explain why not. Let B = Is the matrix B orthogonally diagonalizable? If…

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Q: Drag each set of column entries to the correct location In the augmented matrix. Not all sets of…

A: Given:               x+y+z = 320                                x+12y = 20               y-z = 75

Q: (1) lim,o In (sec x) 3x (2) lim, (tan x)*

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Q: Find a generating curve on the xz-plane for the surface of revolution with equation x2+ y²+ z²= e2x…

A: The solution is given below

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Q: Determine whether the following series converges or diverges. (-1)"-1 Vn nput C for convergence and…

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Q: a. Highlight the graph of y = I 6x +5 red by dragging your finger along the indicated line. x2 + 6x…

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Q: What is Newton's method? What are its advantages and disadvantages compared to the bisection method?

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Q: Show that (2o + h)" – 2ö = nz- | n-1 lim h→0 h for any zo E C.

A: To show: limh→0z0+hn-z0nh=nz0n-1for any z0∈ℂ

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Q: Prove that an angle of θ radians is constructible if and only if the real number cosθ(sinθ)…

A: Since θ is constructible, by definition, (cosθ, sinθ) is a constructible point.

Q: G is a set of all rational numbers except 1 and is defined by a*b = a + b + ab for all a, bE G. In…

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Q: Show that A is an eigenvalue of A and find one eigenvector v corresponding to this eigenvalue. 6 A =…

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Q: 2. 2. A= Frel eDen Value 2. 2. and eigen Vetor note

A: First we find the characteristics equation whose roots are the eigenvalues of A and then find the…

Q: 3. C = cosh-1{sin-[tan log (3 - j8)]}

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Q: · A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

A: A roof gutter is to be made from a long strip of sheet metal L meters wide, by bending up equal…

Q: (a) Evaluate the triple integral dV, where E= {(x,y,z):0<x< 3, 0<y< 3, 0<z< 2). %3D (b) Evaluate the…

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Q: Question 1-3 Which substitution can you make using the system of equations? S 6z + 3y = 12 2x-y =…

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