Use Newton Raphson Method to find the Positive root x of the following function, start with x,-0.04 make 5 iterations (trial) 1 y = (x +) + cos(x) +cos(3x) 8

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. +oo 2...

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Q: Use a direct proof: p is a prime # and x ∈ Z. If x2≡x (mod p) then x ≡ 0 (mod p) or x ≡ 1 (mod p). S...

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Q: Given the differential equation and its initial conditions y" + 6y' + 5y = 12 e' with y(0) = -1 and ...

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Q: Astronomer Edwin Hubble postulated a relationship between the distance between Earth and the velocit...

A: Distance (Mpc) Velocity (km/s) 51.8 4,590 12.2 1,234 271 17,695 46.2 3,752 58.2 5,118 46...

Q: What is the order of matrix A if [4. 4, 4, a, a, A-b,, , b [b, b, b a, a O 2 x 2 O 2 x 3 O 3 x 2 O 3...

A: To find the order of a matrix A .

Q: If a and ß are positive constants, show that the particular solution of dy %3D У (В — ау) dt that sa...

A: Given that dydt=yβ-αy and y=y0 at t=0 We have to find the solution of the above equation.

Q: f() = 314 + 1 Use the Laplace Transform properties table to convert this function into F(s). Lis(1) ...

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Q: Q1 1 u2 uj 2 Given are the vectors and Span{v1, v2} a) Determine if these vectors are in the linear ...

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Q: Theo Corp finds that their profit (in thousands of dollars) when producing and selling x hundred des...

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Q: 5. Prove the following identity for n 2 1: Fzn+1 = F+1+ F;

A: We need to prove that ,  F2n + 1 = F2n+1 + F2n We know that ,   Fm+n = FmFn+1 + Fm-1Fn ,  m ≥ 1 , n ...

Q: Given the differential equation and its initial conditions y" + y' = 12 + 2 with y(0) = 1 and y'(0) ...

A: Take the Laplace transform on both sides of the differential equation.

Q: Solve for the indefinite integral of the given. Upload your solution before moving on to the next qu...

A: To solve the given integral. 

Q: 1. (C"B)A" 3 A = -1 B = -1 4 C = 1 2. tr(4ET – D) 1 1 1 2 6. 1 3 D = -1 1 E = -1 1 3 2 4 4. 3

A: To evaluate the given matrices. 

Q: A. Find the area under/bounded by the given curve. Show the graph (you can use any graphing software...

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Q: Let x and y be non-negative real numbers. Arithmetic mean of x and y is defined by 2, and the geomet...

A: The problem is related to descriptive statistics. Under statistics the arithmetic and geometric mean...

Q: 1. Let S = {1, 2, 3, 4} and let F denote the set of all nonempty subsets of S that have at most twoe...

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Q: Haw.y If the directionelderivative Valne ( Du f)f the function f(x,4) = x²-3xy +uy 4t Paint (-2,0) î...

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Q: Find all solutions of

A: Given,          0.3x + 0.1y  =  0.9 0.4x − 0.4y  =  1.6

Q: the directionat derivative of the fellowing Hawl Find g functions at foint Po in direction of the Ve...

A: To find the directional derivative at given point in direction of a given vector.  1- f(x, y, z) = x...

Q: Use the inner product (u, v) = 2u;V1 + uzV2 in R2 and the Gram-Schmidt orthonormalization process to...

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Q: Determine if each of the following functions from {a,b, c, d} to itself is one-to-one and/or onto. C...

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Q: 4. Use the Laplace transform to solve the " + 4a' + 4x = 4e", a(0) 0, r' (0) - 1.

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Q: : Show that there are no nxn matrices A and B such that AB – BA= In. & You may cite, without proving...

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Q: -8s2 – 5s+9 |(s+1)(s² – 3s+ 2)

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Q: Haw.y If the directionl derivative Valne ( Du f) of the function flx,4) = x-3xy +uy 4t Paint (-2,0) ...

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Q: Find Che fifon roots of -i

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Q: Find the derivative of the function at Po airection oT u. f(x, y) = 3x 2 + 4y, P o(8, 7), u = 3 i - ...

A: 1. Given f(x, y) = 3x2 + 4y and u = 3i - 4j u^ = 1|u|u = 15(3i - 4j) ∇f·u^ = (i^ddx(3x2+4y) + j^ddy(...

Q: 1 6 in 2. H O NO

A: We have to find the upper triangular matrix using row operation.

Q: Questions Q1. Find the volume of the solid that is obtained when the region enclosed by the curves y...

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Q: Solve y//(t) – 6y/(t) + 8y(t) = e21 + sin (t) ; y(0) = 0 ; y/(0) = 1 -

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Q: Joseph ran 4/12 of a mile. Joseph' s friend, Alan ran 15/20 of a mile. How many more did Alan run th...

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Q: OXEQ 1XEQ is not Riemman integrable

A: We have given function ,  f(x) = 0 , x∈ ℚ1 , x ∈ ℚ' We need to show that , f is not Riemann Integrab...

Q: 6s² +26s + 26 r Example: Given F(s)= determine f(t). (s+1)(s+2)(s+3)

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Q: Problem 1. Consider the function of several variables f (x, y)= 4 +x² +y° a. Describe verbally what ...

A:  Given, f(x,y)=4+x2+y2 . (a) To Compare it with the graph of one variable and to explain an expected...

Q: [x1(t)] [¤2(t). Let x(t) = be an unknown vector-valued function. The system of linear differential e...

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Q: An area is bounded by the x^2+10y-1600 curve  and the -xaxis. Find the moment of inertia (in units4)...

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Q: hit vectors orthogonal to a = (3, 3, 0) and b = (- answer so that the first vector has a positive fi...

A: INTRODUCTION: The formula for the units vectors orthogonal to vectors A and B is given by, v1 and v2...

Q: Show that the equation dy + 2k possesses solutions of the form 00 Σ C,e -kt cos (a, x + E) cos (w,t+...

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Q: Use the following matrices to compute the indicated expression if it is defined. 1. (С"В)A" 3 1 4 A ...

A: 1. (CTB)AT = 142315T4-10230-1211T              = 1341254-1023-11021              = 4516-2883-11021  ...

Q: 3 Evaluate the determinant for the following matrix: 1 O A.8 ОВ. -2 О С.5 O D. -4

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Q: [o Let A be a 3 x 3 diagonalizable matrix, P = 1 -1 Lo [2 0 P-1 =| 3 0 -2|,D = |0 0 lo o 1 1 -3 0 3 ...

A: If P-1AP=D, then it can be written that PDP-1=A.  It can also be written that: PDnP-1=An. For a diag...

Q: 8. Determine if the given vectors below span R'.I 9. Find a set of vectors spanning the null space o...

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Q: Find the Taylor Series for vx centered at x = 1. (If not possible to write in Summation Notation, wr...

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Q: Question 17 which it grows is given by the the equation The mass of a kitten when it is born is 0.2 ...

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Q: (D3 – 3D2 + 9D + 13)y = 0 sle plel Ja

A: The given differential equation is ;                    D3-3D2+9D+13y = 0 We have to find the soluti...

Q: Зx2-х-2 3x2+4x+1 Simplify State non- permissible values. 8-2x2 3x2+7x+2

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Q: find max ., min. and saddle points for the following functions: e f = 4x - 6xy +5y" -20x +26y

A: Disclaimer: Since you have asked multiple questions we will solve the first question for you. If you...

Q: 7. F(t) = cos?- sin? 2 8. F(t) = cos ( bt 9. F(t) = 8 sin- cos %3D

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Q: Find a general solution to the given equation fort<0. 26 y"(t)--y'()+y(0= 0 The general solution is ...

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Q: equation if 2 Error <1 2o CON SECANT METHOD, find root of using f(x) = x* -3x*ー8x-チメ+G=0

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